Find the value of X

Find The Value Of X

Answers

Answer 1

Answer:

C. 66

Step-by-step explanation:

32 + x =98

The sum of interior angles of a triangle add up to the exterior opposite angle;

solving for x yields;

x = 98 - 32

x = 66 degrees

Answer 2

Answer:

x = 66°

Step-by-step explanation:

Since DAC is a straight line, the angles must add up to 180° and 98° is given so the missing angles is 180° - 98° = 82°

Angles in a triangle add up 180° and 32° and 82° are given →

x + 32° + 82° = 180°

x + 114° = 180°

x = 66°


Related Questions

Fernando bought a new watch set that includes 5 watch faves and 7 colored bands . From how many different watches can he choose?

Answers

Answer:

35 different watches

Step-by-step explanation:

I don't know if this is correct so sorry if it's not.

5 faces x 7 bands.

So, 5 x 7

=

35

i hope that helps... it might not, sorry

Answer:

35 different watches/combos.

Step-by-step explanation:

5 watches, 7 different wrist bands

5 x 7 = 35

1 watch consist of 1 watch and 1 band so he can have 35 different watch combinations.

The perimeter of a rectangular herb garden is 74 feet. If the length is 5 feet longer then 3 times it’s width what is the gardens width?

Answers

Answer:

width = 8 feet and length = 29 feet

Step-by-step explanation:

perimeter of a rectangle P = 2(L + W)

width W = x

length L = 3x + 5

P = 74 feet

74 = 2(3x + 5 + x)

37 = 3x + 5 + x

37 = 4x + 5

4x = 37 -5

4x = 32

x = 8

W = 8 feet

Find the mode of this set of data 18,27,28,44,44,50,67

Answers

Answer:

44

Step-by-step explanation:

the mode of a set of data is the value that occurs most often, in this case it is 44

44 would be the mode of the data.

The mode of the data is the number that occurs the most. It is always best to put the numbers in order from least to greatest so we can see what number appears more than once.

18,27,28,44,44,50,67

When we look at this set of numbers, we can see that 44 appears more than any other number. Therefore, the mode of these numbers is 44.

See attached question below

Answers

ANSWER

A. 10,000

EXPLANATION

The given rational function is

[tex]f(x) = \frac{1}{x - 2} [/tex]

This function is not defined at x=2.

But as we are picking x-values that are closer and closer to 2, the functional values grows bigger and bigger positively or negatively without bounds.

Therefore a possible value of f(x) as x is close to 2 is 10,000.

The correct answer is A.

Barry is 8 years older than his sister. In 3 years, he will be twice as old as she will be then. How old is each now?

Answers

Final answer:

Barry is currently 13 years old and his sister is 5 years old. This is determined by setting up a system of equations based on the given information and solving for their current ages.

Explanation:

The question involves solving a system of equations to find the current ages of Barry and his sister. Let's let B represent Barry's current age and S represent his sister's current age. According to the problem, Barry is 8 years older than his sister (B = S + 8). In 3 years, Barry will be twice as old as his sister will be then (B + 3 = 2(S + 3)).

Write down the two equations: B = S + 8 and B + 3 = 2(S + 3).

Substitute B from the first equation into the second equation: (S + 8) + 3 = 2(S + 3).

Simplify and solve for S: S + 11 = 2S + 6.

Rearrange the equation to find S: S = 5.

Substitute the value of S back into the first equation to find B: B = 5 + 8, so B = 13.

Therefore, Barry is currently 13 years old and his sister is 5 years old.

If 5 x 6 = 20 + y, what is the value of y?

Answers

5*6=20+y

30=20+y

30-20=20-20+y

10=y

Check answer by using substitution method

5*6=20+y

30=20+10

30=30

Answer is y=10

5 x 6 = 30

y + 20 = 30

y + 20 - 20 = 30 - 20

y = 10

What is the circumference of a circle with a diameter of 21 m? (use for pi)

Answers

Answer:

21π m, or ≈ 65.94 m

Step-by-step explanation:

Remember that π is the ratio between a circle's circumference and its diameter, or, in equation form:

[tex]\pi=\frac{c}{d}[/tex]

where c is the circumference and d is the diameter. If we want to find the circumference, we can just multiply that equation by d on both sides to get

[tex]c=\pi d[/tex]

Here, our d = 21 m, so our circumference would be

[tex]c=21\pi[/tex] m, or approximately 21(3.14) = 65.94 m

D=21m
R=21/2=10.5m
C=2*pi*r
2*3.14*10.5
65.94

So circumference of a circle with a diameter of 21m is 65.94m

If I make 180 dollars a week. How many weeks does it take to reach 7,500 dollars?

Answers

41 weeks divide 7,500 by 180

Answer:

it would take you 41 weeks

(rounded to 42 if that is a choice answer because when you divide 7500 by 180 it gives you 41.66666)

Step-by-step explanation:

Each of 6 students reported the number of movies they saw in the past year. This is what they reported. 15,9,13,18,9,6, find the mean and median numbers of the movies that students saw.

Answers

Answer:

mean = 11.66666

median = 11

Step-by-step explanation:

To find the mean, add up all the numbers, then divide by how many numbers

mean = (15+9+13+18+9+6) / 6 = 70/6 = 11 .6666666

To find the median, put the numbers from smallest to largest. then take the middle number.  Since there is an even number, take the two middle numbers and average them

6,9,9,13,15,18

The two middle numbers are 9 and 13

(9+13)/2 = 22/2 = 11

what is the other binomial?

Answers

Answer:

11x² -3x

Step-by-step explanation:

We have the product of a sum, of two binomials and one of the initial binomials but we'd like to know the other one.

It's very much like A + B = C, and we have both B and C, but looking to find A.

What would you do in the ABC scenario?

You'd isolate A by transforming the equation to: A = C - B

In this case, C = 12x² - 5x and B = x² - 2x...

A = (12x² - 5x) - (x² - 2x) = 12x² - 5x - x² + 2x

A = 11x² -3x

Solve for X in this equation

Answers

Answer: x=e

Step-by-step explanation:

x= ln(e^e)

using ln(e^x)= x x ln (e), transform the expression

x= e x ln (e)

the natural logatithm of e equals 1

x=e x 1

any expression multiplied by 1 remains the same

x=e alternative form: x= 2.71828

ANSWER

[tex]x = e[/tex]

EXPLANATION

The given logarithmic equation

[tex]x = ln_{e}(e) [/tex]

Note that

[tex] ln(e) = 1[/tex]

Using the power rule of logarithms,

[tex]x =e \ln(e)[/tex]

This gives us:

[tex]x =e (1)[/tex]

Simplify to get:

[tex]x = e[/tex]

A flat screen television has a 50 inch diagonal and a height of 25 inches. How wide is the television rounded to the nearest tenth?

(Use the Pythagorean Theorem)

Answer
inches

Answers

Answer:

The wide of television is [tex]43.3\ in[/tex]

Step-by-step explanation:

Let

x----> the wide of television

we know that

Applying the Pythagoras Theorem

[tex]50^{2}=x^{2}+25^{2}[/tex]

Solve for x

[tex]x^{2}=50^{2}-25^{2}[/tex]

[tex]x^{2}=1,875[/tex]

[tex]x=43.3\ in[/tex]

In triangle JKL, m of angle J = 90, m of angle K = 30, and m of angle L = 60. Which of the following statements about triangle JKL are true? Check all that apply.
A) KL= root 3 (JL)
B) KL= 2(JL)
C) JK= root 3 (JL)
D) JK= 2(JL)
E) JL= root 3/2 (KL)
F) JK= root 3/2 (KL)

Answers

Answer:

# Answer B is true ⇒ KL = 2(JL)

# Answer C is true ⇒ JK = √3(JL)

# Answer F is true ⇒ JK = √3/2(KL)

Step-by-step explanation:

* Lets explain the ratio between the sides of the triangle

- In Δ JKL

∵ The measure of angle J is 90°

∴ KL is the hypotenuse

∵ The measure of angle K is 30°

∴ JL is the opposite side to angle 30°

∵ The measure of angle L is 60°

∴ JK is the opposite side to the angle 60°

- There is a fact in the triangle which has angles 30° , 60° , 90°

# The length of the side opposite to the angle of measure 30° is

  half the length of the hypotenuse

∵ KL is the hypotenuse

∵ JL is the opposite side to the angle of measure 30°

∴ JL = 1/2 KL  OR KL = 2 JL

# The length of the side opposite to the angle of measure 60° is

  √3 the length of the opposite side to the angle 30°

∵ JK is the opposite side to the angle of measure 60°

∵ JL is the opposite side to the angle of measure 30°

JK = √3 JL

# The length of the side opposite to the angle of measure 60° is also

  half √3 the length of the hypotenuse

∵ JK is the opposite side to the angle of measure 60°

∵ KL is the hypotenuse

JK = √3/2 KL

- From the relation above

# Answer B is true ⇒ KL = 2(JL)

# Answer C is true ⇒ JK = √3(JL)

# Answer F is true ⇒ JK = √3/2(KL)

Answer:

It is a and B in C & D

Step-by-step explanation:

These are the closest answers

Driving across country, mike drove for 3 hours at a certain rate and for 4 hours at a rate 10 mph faster. If his total distance covered was 495 miles, then what was his slower rate?

Answers

Final answer:

Mike's slower rate of driving across country was 65 mph.

Explanation:

Let the slower rate be represented as r mph. The faster rate will be r+10 mph. The total distance covered (495 miles) is the product of the time and the rate:

The distance covered at the slower rate is 3r miles.The distance covered at the faster rate is 4(r+10) miles.

Adding up the distances, we get:

3r + 4(r+10) = 495

Simplifying the equation:

3r + 4r + 40 = 495

Combining like terms:

7r + 40 = 495

Subtracting 40 from both sides:

7r = 455

Dividing by 7:

r = 65

Therefore, the slower rate is 65 mph.

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The correct answer for the slower rate at which Mike drove is 65 mph.

To find the slower rate at which Mike drove, let's denote the slower rate as r mph. Mike drove at this rate for 3 hours. He then drove for 4 hours at a rate that is 10 mph faster than the slower rate, which would be r + 10 mph.

The total distance covered by Mike is the sum of the distances covered at each rate. We can set up an equation to represent this:

[tex]\[ 3r + 4(r + 10) = 495 \][/tex]

Expanding the equation, we get:

[tex]\[ 3r + 4r + 40 = 495 \][/tex]

Combining like terms, we have:

[tex]\[ 7r + 40 = 495 \][/tex]

Now, we need to solve for r We can do this by subtracting 40 from both sides of the equation:

[tex]\[ 7r = 495 - 40 \] \[ 7r = 455 \][/tex]

Dividing both sides by 7 to solve for r, we get:

[tex]\[ r = \frac{455}{7} \] \[ r = 65 \][/tex]

Therefore, the slower rate at which Mike drove is 65 mph.

15 POINTS


Using Euler's Formula: F+V=E+2


A geometric solid has thirty-two faces and ninety edges. Find the number of vertices.


SHOW WORK

Answers

Answer:

V -E +F = 2

Vertices = 2 + Edges -Faces

Vertices = 2 + 90 -32

Vertices = 60

Step-by-step explanation:

If f(x) = 5x - 2 and g(x) = 2x + 1, find (f + g)(x)

Answers

Answer:

(f + g)(x) = 7x - 1

Step-by-step explanation:

Given :  f(x) = 5x – 2 and g(x) = 2x + 1

We have to find  (f + g)(x)

Consider  (f + g)(x) = f(x) + g(x)

Also, given  f(x) = 5x – 2 and g(x) = 2x + 1

Substitute, we have,

f(x) + g(x) = 5x - 2 + 2x + 1

Like Terms are terms having same variable with same degree.

Simplify by adding like terms,  we have,

f(x) + g(x) = 5x + 2x - 2  + 1

f(x) + g(x) = 7x  - 1

Thus, (f + g)(x) = 7x - 1

Answer:

Thus, (f + g)(x) = 7x - 1

Step-by-step explanation:

(f + g)(x) = 7x - 1

Step-by-step explanation:

Given :  f(x) = 5x – 2 and g(x) = 2x + 1

We have to find  (f + g)(x)

Consider  (f + g)(x) = f(x) + g(x)

Also, given  f(x) = 5x – 2 and g(x) = 2x + 1

Substitute, we have,

f(x) + g(x) = 5x - 2 + 2x + 1

LIKE TERMS are terms having same variable with same degree.

Simplify by adding like terms,  we have,

f(x) + g(x) = 5x + 2x - 2  + 1

f(x) + g(x) = 7x  - 1

Thus, (f + g)(x) = 7x - 1

Perform the indecated operation. 5 over 9 times 3 over 7

Answers

Answer:

[tex]\frac{5}{21}[/tex]

Step-by-step explanation:

[tex]\frac{5}{9}[/tex] × [tex]\frac{3}{7}[/tex] = [tex]\frac{15}{63}[/tex] = [tex]\frac{5}{21}[/tex]

Answer:

5/63

Step-by-step explanation:

that would be:

 5        3                                        5

----- * ------ = (after reduction)   ----------- = 5/63

 9        7                                      3(21)

Find negative square root of 36. ±6 −6 6 18

Answers

Answer:

The answer is -6

Step-by-step explanation:

Hope it helped you!

Answer:

B. [tex]-6[/tex]

Step-by-step explanation:

We are asked to find the negative square root of 36.

We can write our given problem as [tex]-\sqrt{36}[/tex].

We can write 36 as 6 to second power.

[tex]-\sqrt{36}=-\sqrt{6^2}[/tex]

Using radical rule [tex]\sqrt[n]{a^n}=a[/tex], we will get:

[tex]-\sqrt{6^2}=-6[/tex]

Therefore, the negative square root of 36 is negative six and option B is the correct choice.

9 pounds of ground beef cost $40.32. What is the price per ounce?

Answers

The price per ounce of ground beef, when 9 pounds cost $40.32, is $0.28.

Calculating Price per Ounce of Ground Beef

To calculate the price per ounce for ground beef when given the price for 9 pounds, we will first need to know how many ounces are in 9 pounds. Since there are 16 ounces in 1 pound, 9 pounds is equivalent to 144 ounces (9 pounds × 16 ounces/pound).

Next, we divide the total cost of the 9 pounds of ground beef by the total number of ounces to find the price per ounce. The total cost given is $40.32.

Price per ounce = Total cost \/ Total number of ounces

Price per ounce = $40.32 \/ 144 ounces

Price per ounce = $0.28

Therefore, the price per ounce of ground beef is $0.28.

The sum of two integers is -8.if one integer is 12 then the other is?

Answers

Answer:

2 and -10

Step-by-step explanation:

let the two integers be x and y.

so, x+y=-8---‐-------(1)

and,

x=y+12-------‐-----(2)

from (1) and (2),

(y+12)+y=-8

or, 2y=-8-12

or, y=-20/2

or, y=-10

substitutting the value of y in (2),

x=-10+12=2

therefore the required integers are 2 and -10.

Answer:

-20

Step-by-step explanation:

→ The sum of two integers is -8.

⇒ One will be called "x" and the other will be called "y"

→ One integer is 12 ( "y" )

Let's set up an equation x = ? and y = 12 so,

→ x + y = -8

( Substitute y for 12 )

→ x + 12 = -8

( -12 from both sides to isolate x )

→ x = -20

Find the simple interest paid one $600 is borrowed for three years at 6% per

Answers

Answer:

Principal amount= $600

Time= 3 years

Rate of Interest = 6%

SI= PRT/100

= 600x6x3/100

= $108

Interest is $108

Step-by-step explanation:

the perimeter of a rectangle is 68 cm. the length is 4 cm less than three times ots width. write a system of equation to find the dimensions of the rectangle.​

Answers

2L + 2w = 68 & L = 3w-4

2(3w-4) = 68

6w-8= 68

6w = 60

W= 10

L = 3*10-4

L= 30-4= 26

A right rectangular prism has a length of 5 centimeters, a width of 8 centimeters, and a height of 4
centimeters.
What is the volume of the prism?
Enter your answer in the box.
cm3

Answers

Your answer is: 160 cm^3

How?
Formula: LENGTH x WIDTH x HIGHT
So 5 x 8 x 4 = 160 cm^3

Answer:

160cm^3

Step-by-step explanation:

V=Lwh

so, (5x8x4)

v=160cm^3

Hope my answer has helped you!

Which of the following digits could replace the □ in the tens place to make this statement true? 88,5□1 rounds to 88,500 if we round to the nearest hundred.

chose all answers that apply:

:0

:2

:4

Answers

any of them could apply since they’re all lower than 5
Final answer:

To make 88,5□1 round down to 88,500, the digit that replaces □ must be less than 5; therefore, the replacements could be :0, :2, or :4.

potential

Explanation:

The given number is '88,5□1' and we want to find the digit that replaces the □ and rounds the number to '88,500' when we round to the nearest hundred. An important point to remember about rounding is that if the digit in the tens place is less than 5, we round down, while if it's 5 or above, we round up. Since we want to round down to 88,500, the digit that replaces □ in the tens place must therefore be less than 5. So, the possible digits could be :0, :2, or :4.

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Multiply and simplify.
(x + 3)(x - 8)
A) 2x - 24
B) x2 - 5x + 24
C) x2 - 5x - 24
D) x2 - 8x - 24

Answers

Answer:

x^2-5x-24

Step-by-step explanation:

Final answer:

The product of the binomials (x + 3)(x - 8) is simplified using the FOIL method to get x² - 5x - 24. We multiply each term in the first parenthesis by each term in the second and combine like terms.

Explanation:

To multiply and simplify the expression (x + 3)(x - 8), we will use the FOIL method (First, Outer, Inner, Last). This method involves multiplying each term in the first parenthesis by each term in the second parenthesis.

First: x times x = x²

Outer: x times -8 = -8x

Inner: 3 times x = +3x

Last: 3 times -8 = -24

Next, combine like terms (-8x and +3x):

x² - 8x + 3x - 24 = x² - 5x - 24

The simplified form of the given expression is x² - 5x - 24, which corresponds to option C).

Tania analyzed the relationship between student test scores and the number of hours studied. She calculated the trend line to be y = 6.8x + 60, where x is the number of hours studied and y is the score. Which closet is to the score for a student who studied 3 hours?
A 80
B 85
C 90
D 95

Answers

Answer:

A: 80

Step-by-step explanation:

As we know that the trend line is [tex]y=6.8x+60[/tex], we can plug in x=3 in order to find out the estimated score for 3 hours of studying

[tex]y=6.8x+60\\\\y=6.8(3)+60\\\\y=20.4+60\\\\y=80.4[/tex]

y=80.4 is closest to A: 80

Answer:

Option A, 80

Step-by-step explanation:

Trend line is given by y = 6.8x + 60

where x = number of hours she studied

          y = score

Now we have to calculate the score for a student for studied for 3 hours.

y = 6.8 × 3 + 60

  = 20.4 + 60

  = 80.40

  ≈ 80

Option A will be the answer.

Determine whether the piece of paper can be used to wrap the rectangular prism exactly once without any gaps or overlaps.

Answers

Answer:

No, because they do not have the same area.

Step-by-step explanation:

For the piece of paper to cover once without overlap or gaps, it must have the same area as the the total surface area of the prism.

The total surface area of the rectangular prism is: [tex]2(3.5\times2+3.5\times1.5+2\times1.5)=30\frac{1}{2}in^2[/tex]

The area of the rectangular sheet is:[tex]5\times 8=40in^2[/tex]

Since the area of the piece of paper is more than the surface area of the rectangular prism there will be an overlap.

a Potter uses 3/5 of a pound of clay to make a bowl how many bowls could the Potter make from 10 lb of clay​

Answers

Answer:

16

Step-by-step explanation:

Let's say x is the number of bowls.  If each bowl needs 3/5 pound of clay, then the total clay needed is 3/5 * x.  We know the total amount is 10 pounds.  Therefore:

10 = 3/5 x

Divide:

x = 10 / (3/5)

To divide by a fraction, we need to multiply by the reciprocal:

x = 10 * (5/3)

x = 50/3

x = 16 ⅔

We can't have part of a bowl, so we must round down.  The potter can make 16 bowls.

ASAP RIGHT NOW NEW FOR ME​

Answers

Answer:8m+20

Step-by-step explanation:

U have too add the perimeter than multiple area

Find the value of each variable. For the circle, the dot represents the center.

Answers

Answer:

Part 1) The measure of angle d is 65°

Part 2) The measure of angle c is 89°

Part 3) The measure of arc a is 131°

Part 4) The measure of arc b is 47°

Step-by-step explanation:

we know that

In an inscribed quadrilateral, opposite angles are supplementary

step 1

Find the measure of angle d

∠d+115°=180°

∠d=180°-115°=65°

step 2

Find the measure of angle c

∠c+91°=180°

∠c=180°-91°=89°

step 3

Find the measure of arc a

we know that

The inscribed angle measures half that of the arc comprising

115°=(1/2)[99°+arc a]

230°=[99°+arc a]

arc a=230°-99°=131°

step 4

Find the measure of arc b

we know that

The inscribed angle measures half that of the arc comprising

∠c=(1/2)[arc a+arc b]

substitute the values

89°=(1/2)[131°+arc b]

178°=[131°+arc b]

arc b=178°-131°=47°

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

An arc is one of the portions of a circle. It is basically a part of the circumference of a circle.

The measure of the ∠d is 65 degrees.

The measure of the ∠c is 89 degrees.

The measure of the arc a is 131 degrees.

The measure of arc b is 47 degrees.

We have to determine

The value of each variable. For the circle, the dot represents the center.

What is the angle?

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

What is an arc?

An arc is one of the portions of a circle. It is basically a part of the circumference of a circle.

1. The measure of ∠d is;

∠d+ 115°= 180°

∠d= 180°-115°= 65°

The measure of the ∠d is 65 degrees.

2. The measure of ∠c is,

c+ 91°= 180°

c =180°-91° =89°

The measure of the ∠c is 89 degrees.

3. The measure of arc a is,

The inscribed angle measures half that of the arc comprising;

[tex]\rm 115=\dfrac{1}{2}[99+arc \ a]\\\\230=[99+arc a]\\\\arc \ a = 230-99\\\\arc \ a= 131[/tex]

The measure of the arc a is 131 degrees.

4. The measure of arc b is,

The inscribed angle measures half that of the arc comprising;

[tex]\rm 89=\dfrac{1}{2}[131+arc \ b]\\\\178=[131+arc \ b]\\\\arc \ b = 178-131\\\\arc \ b = 47[/tex]

The measure of arc b is 47 degrees.

To know more about Angle and Arc click the link given below.

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Which of these pairs of events are dependent?a. You flip a coin and get tails. You flip it a second time and get heads.b. You pull your friend's name out of a hat that holds 20 different names, replacename, then draw out your friend's name again.c. You spin a spinner divided into five equal parts and is numbered 1-5. You get a 3 on the first spin, and then spin again and get a 2 on the second spin.d. You remove a black sock from a drawer without looking, then remove another blacksock. The area of a playground is 64 square yards. The length of the playground is 4 times longer than its width. How can I solve this? What does Hund's rule state? Rationalise the denominator 5 by7-5 The first steps in determining the perimeter of triangle ABC are shown.To the nearest whole unit, what is the perimeter of triangle ABC? Alex is planning to have a snack during his break from class. He needs to eat 8 grams of fiber and 12 grams of protein. In the vending machine, he finds three types of packaged snacks: crackers that have 1 g of fiber and 2 g of protein, cookies that have 1 g of fiber and 1 g of protein, and nuts that have 3 g of fiber and 4 g of protein. How many packages of each snack can he eat to obtain his goal? Specify the domain for he function !!! A-B-C-D 10 points. MATH 3 Which city has been awarded the most total michelin stars? Need some writing practice? Well today, I am posting this, as a way of helping people learn to improvise, create and connect!Improvise: Can't seem to make a story? Well try this; search up a writing prompt, or find a random subject, that might catch your interest. Then, make a story off that and change things here and there! Make it your own!Create: If you are looking to have originality in your work, embrace some of the things you like to do, or maybe some of your fears! Lots of writers express their feelings through their characters, sometimes without knowing it! Try basing a character off yourself, note that people don't like it when a character has too much power, or wins every battle. Not everyone wins all the time! Try doing a weird or unexpected situation! Don't forget about adding a plot twist or two!Create Part 2: Planning to make a character from scratch? Well, lets put the Character Creation process in steps!1. Define the look of the character. Don't overuse certain traits or adjectives when introducing and describing your character!2. Choose a name for your character! Even the name matters! Try searching up a name, by a word that defines something about your character!3. Give them a personality! Not everyone is the same, so try mixing things up when you make a new character!4. Give them ONE interesting trait that will define the character!Connect: Don't forget to have plot points! Make a timeline! Plot is very important! Make sure to comb through your text to look for errors and tie up loose ends!If this helps, please put your story in the comments! I'd love to hear them! On Monday, Kevin wrote a check for $575 to pay his rent. On Tuesday, he deposited at$638. On Friday, he wrote checks for $75 for groceries and S266 for a car repair Waschethe overall change in his checking account balance for the week, in dollars?a. -278b. -916c. -1554d. --178 Sam blew up a balloon and rubbed it on his head. Then he stuck the balloon on the wall. This was all the result of electrostatics or the transfer of charge. The appearance of negative charge on a balloon is the result of its gaining electrons. And these electrons must come from somewhere; in this case, from Sam's hair. Electrons are transferred in any charging process. In the case of charging by friction, they are transferred between the two objects being rubbed together. Prior to the charging, both objects are electrically neutral and the situation obeys the law of conservation of charge. How does the law of conservation of charge explain Sam and his balloon?A)Friction creates charge that collected on the balloon.B)The balloon gained electrons; Sam's hair gained protons.C)If the balloon acquires charge, Sam's hair loses charge.D)The net charge before is zero; the net charge after is negative.Ben and Jerry, arch rivals, decide to have a weight lifting contest during PE. Ready, set, go! Ben and Jerry both lift a 250 kg barbell 10 times over their heads. They are approximately the same height and lift the barbell the same distance in the air. It takes Ben 5 seconds to complete 10 lifts; it takes Jerry 25 seconds to complete his 10 lifts. Which statement is MOST accurate regarding the weightlifting contest?A)Ben did more work than Jerry.B)Ben has more power than Jerry.C)Ben and Jerry have the same power.D)Ben does more work and is more powerful than Jerry. Which of the following describes how the Industrial Revolution affected economic practices as electrons pass through a particular device magnets begin to rotate. this rotation is then used to power devices such as ceiling fans this is a description of what happens in a what Eva and Dulcina have 82 pins together. Dulcina has 34 more pins than Eva. How many pins are in Dulcinas collection? How many pins are in Eva's collection? The industrialization of the Northeast made it possible for women to _____. Under early American presidents, civil service employees were:A. Not considered part of the executive branch.B. More powerful than modern-day civil servants. C. Generally appointed based on political connections. D. Expected to pass exams to measure their competence. Which describes an example of genetic engineering I WILL GIVE BRANLY A librarian kept track of the kinds of books that boys and girls checked out in one day. Which graph best represents this data? What two fundamental characteristics distinguish animals from plants? A 25-ft ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.18 ft/sec, how fast, in ft/sec, is the top of the ladder sliding down the wall, at the instant when the bottom of the ladder is 20 ft from the wall? Answer with 2 decimal places. Steam Workshop Downloader