Find the value x that makes ABCD a parallelogram

Find The Value X That Makes ABCD A Parallelogram

Answers

Answer 1

Answer:

D.) 6

Step-by-step explanation:

A parallelogram needs supplementary consecutive sides. To make 150 supplementary, it needs to add 30 to make 180 degerees.

5 * 6 = 30.

Answer 2

Therefore, the value of [tex]x=6[/tex] degree i.e., option (D) is correct answer.

What is the parallelogram?

A parallelogram is a simple (non- self-intersecting) quadrilateral with two pairs of parallel sides.

The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

A parallelogram needs supplementary consecutive sides.

So, to make the supplementary angle i.e., [tex]150[/tex] degree .It requires to add [tex]30[/tex] to make [tex]180[/tex] degree.

[tex]x=6\\5(6)=30[/tex]

Hence, the value of [tex]x=6[/tex] degree i.e., option (D) is correct answer.

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Related Questions

How do I graph this?

Answers

Your slope is -2 for every 5 and your y intercept is 2
Slope is 2 and for the -2/5x means you go down 2 and over 5 :)) hope this helped

2.25 ÷ 2.5 (Long division Work)

Answers

Answer:

Its 0.9

Step-by-step explanation:

this is a good enpugh answer

There are 12 boys and 15 girls in your class.Four new students, 3 boys and 1 girl , join your class. Compare the ratio of boys and girls before and after the new students enrolled.

Answers

Answer:

4:5 ,15:16

Step-by-step explanation:

divide 12 and 15 by 3 to get 4 and 5

The area of a trapezoid is 60 square inches. The sum of the bases is 20 inches. Find the height of the trapezoid.

Answers

Answer:

The area of a polygon is the number of square units inside that polygon. Area is 2-dimensional like a carpet or an area rug.

trapezoidA trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula for the area of a trapezoid is:

area_trapezoid1.gif or area_trapezoid2.gif

Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.

Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.

In Examples 1 and 3 below, the height is a side of the trapezoid since it is perpendicular to the base. In Example 2, the lateral sides are not perpendicular to the base, so a dotted line is drawn to represent the height.

Example 1: Find the area of a trapezoid with bases of 10 inches and 14 inches, and a height of 5 inches.

trapezoidSolution:

area_trapezoid2.gif

a_0.gif = one_half.gif · (10 in + 14 in) · 5 in

a_0.gif = one_half.gif · (24 in) · (5 in)

a_0.gif = one_half.gif · 120 in2

a_0.gif = 60 in2

Example 2: Find the area of a trapezoid with bases of 9 centimeters and 7 centimeters, and a height of 3 centimeters.

Solution:

trapezoidarea_trapezoid2.gif

a_0.gif = one_half.gif · (9 cm + 7 cm) · 3 cm

a_0.gif = one_half.gif · (16 cm) · (3 cm)

a_0.gif = one_half.gif · 48 cm2

a_0.gif = 24 cm2

Example 3: The area of a trapezoid is 52 square inches and the bases are 11 inches and 15 inches. Find the height.

trapezoidSolution:  

area_trapezoid2.gif

52 in2 = one_half.gif· (11 in + 15 in) · h.gif

52 in2 = one_half.gif· (26 in) · h.gif

52 in2 = (13 in) · h.gif

52 in2 ÷ (13 in) = h.gif

h.gif = 4 in

trapezoidSummary: To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula for the area of a trapezoid is:

area_trapezoid1.gif or area_trapezoid2.gif

Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height.

Step-by-step explanation:


A pancake recipe calls 4 cups of loud and 3 cups milk. Does a recipe calling for 2 cups flour and 1.5 cups milk use the same ratio of flour to milk

Answers

Yes. The amounts of each ingredient are the same only half of it is used in the second recipe.
Both ratios would equal the same if the 4:3 was simplified, leading the two recipes to be 2:1.5

Answer:

yes

Step-by-step explanation:

Because 4:3 simplifies to 2:1.5

There are 9 computers and 72 students. What is the unit rate of students to computers? pleaase help meee

Answers

9/72 = 1/8

PLEASE GIVE BRAINLIEST

Answer:

1:8

Step-by-step explanation:

We know that every 9 computers there are 72 students, so if we divide 72 by 9 it will be 8. Therefore for 1 computer it has 8 students.

which of the following is the equation of a line that passes through the point (1,2) and is parallel to the x-axis?
A. x=2
B. y=2
C. y=1
D. x=1

Answers

Answer:

The equation of line would be y = 2

Step-by-step explanation:

Since the x-axis is horizontal, we would look for another horizontal line to be parallel. All horizontal lines can be written as y = (a number). We can find that number as the y-coordinate in the ordered pair (2)

y = 2

Multiply the polynomial

(4d-3)(-2d+1)

Answers

Answer:

-8d^2+10d-3

Hope i helped if i am wrong tell me please :)


Step-by-step explanation:

combine like terms

Mrs. Bea’s Bakery offers a Saturday morning special where your entire meal is 15% off. How much will a $32.00 meal cost after the special?

Answers

Answer:

27.2

Step-by-step explanation:

32*.85=27.2

Answer:

$27.20

Step-by-step explanation:

15 percent of 32 is 4.8

32-4.8= 27.20 so $27.20

A certain drug is made from only two ingredients: compound A and compound B. There are
milliliters of compound A used for every
milliliters of compound B. If a chemist wants to make
milliliters of the drug, how many milliliters of compound A are needed?

Answers

Answer:

425 milliliters of compound A are needed

Step-by-step explanation:

We were told that [tex]5[/tex] milliliters of compound A and [tex]6[/tex] milliliters of compound B is needed to make the drug.

This means that each drug contains 11 milliliters of both compounds.

[tex]\frac{935}{11}=85[/tex] milliliters is the volume of each drug.


Therefore the chemist needed [tex]5\times 85=425[/tex] millilirteres of compound A.

Final answer:

In order to find out how much of compound A is needed, we would set up a ratio using the amounts provided of compound A and B. Then, we cross multiply and solve for the unknown amount of compound A needed for the specific quantity of the drug.

Explanation:

This problem is about ratios. We know that specific quantities of compound A and compound B are combined to make a certain amount of the drug. However, the quantities of compound A and B are not mentioned in the question. If they were provided, we would set up a ratio equal to the total amount of the drug and cross multiply to solve for the amount of compound A needed.

An example might look something like this: if the drug is made of 2 milliliters of compound A for every 3 milliliters of compound B and we wanted to make 5 milliliters of the drug. You would set it up like this:

2 (Compound A) / 3 (Compound B) = x (Amount of compound A needed) / 5 (Total Amount of drug needed)

Cross multiplying gives us: 2 * 5 = 3 * x

This simplifies to: 10 = 3x

Dividing each side by 3 then gives the amount needed of compound A: x = 3.33 milliliters.

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EASY TO ANSWER HELPP PLEASE

Answers

Answer:

(17.8 , 1.6)




Write write an exponential growth function for the following situation you are depositing $5,000 into a bank with an interest rate of 9% for x years

Answers

[tex]\bf \qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &5000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=\textit{elapsed time}\dotfill &x\\ \end{cases} \\\\\\ A=5000(1+0.09)^x\implies A=5000(1.09)^x[/tex]

The graph of the equation y = x2 - 3 is shown. Which equation will shift the graph up 6 units?

Answers

Answer:

Here’s the graph

Step-by-step explanation:

Which of these tables represents a function

Answers

Table D if you graph them and do the line test ( where you take a vertical line and see if it touches two points on a graph) you will see that everything else EXCPET D will be touched by the vertical line.

HELPPP PLZZ I REALLY NEED HELP

Answers

Answer: A.

The reason is because if you're adding a negative to a number, it's subtraction, which is in the expression.

Answer:

The answer is A.

Step-by-step explanation:

Adding a negative is the same as subtracting

The Law of Large Numbers states that as the number of trials of an experiment increases, the experimental probability of an event occurring approaches the theoretical probability of the event occurring. Jake received a "magic" coin from his uncle. He flipped it 100 times, and found that it came up heads 64% of the time. He flipped it another 500 times, and it came up heads 57% of the time. He then flipped it 1000 times, and it came up heads 58% of the time. Then, he flipped it 1500 times, and it came up heads 62% of the time. Based on the Law of Large Numbers, what do you think the theoretical probability of the magic coin coming up heads is? Explain how you could test your hypothesis.

Answers

The law of large number states that , if number of trials increases in an experiment , in a fair trial where each outcome has same chance of occurring or having equal probabilities,when total number of trials  goes higher and higher the probabilities of each single outcome becomes approximately equal.→→In case of Experimental Probability

The Coin Possessed by Jake is a Magic coin.

Now Outcomes received by jake when he tosses the coin certain number of times.He flipped it 100 times, and found that it came up heads 64% of the time. He flipped it another 500 times, and it came up heads 57% of the time. He then flipped it 1000 times, and it came up heads 58% of the time. Then, he flipped it 1500 times, and it came up heads 62% of the time.

Based on the information provided , it appears that coin is not fair . It is  Unbiased.So , if we apply law of large numbers here after number of trials will go higher and higher , the chances of coming head will be more than tail i.e theoretical probability of the magic coin coming up heads is> 50%.

To test my hypothesis i have used the information provided by Jake, which shows that coin is not fair. The probability of head has more than tail i.e by 14%, 7%,8% and 12%.


Michelle Smith bought 30 shares of James Company stock at $34 per share. The company paid annual dividends of $0.42 per share. What is the total annual dividend? Show work
A) 9.78
B) 12.60
C) 1.69
D) 11.97

Answers

Answer:

The right option is B) 12.60

Step-by-step explanation:

We have given,

Number of shares = 30

Cost of each share = $34

Total cost of shares = 30 × 34 = $1020

Since the company paid annual dividends of $0.42 per share.

i.e Total annual dividend company paid = 0.42 × 30

Total annual dividend company paid = $ 12.60

Hence the right option is B) 12.60


Which system of equations has a solution of approximately (1.8,-0.9)


A. 6x-5y=15 and x+2y =0

B. 4x+5y=8 and 6x-5y=15

C.x-2y=4 and 4x+5y=8

D.6x-5y=15 and x-2y=4

Answers

A.


6x - 5y = 15


L = 6(1.8) - 5(-0.9) = 10.8 + 4.5 = 15.3


R = 15


L ≈ R


x + 2y = 0


L = 1.8 + 2(-0.9) = 1.8 - 1.8 = 0


L = R


B.


4x + 5y = 8


L = 4(1.8) + 5(-0.9) = 7.2 - 4.5 = 2.7


R = 8


L ≠ R


C.


x - 2y = 4


L = 1.8 - 2(-0.9) = 1.8 + 1.8 = 3.6


R = 4


L ≈ R


4x + 5y = 8


L = 4(1.8) + 5(-0.9) = 7.2 - 4.5 = 2.7


R = 8


L ≠ R


D.


6x - 5y = 15


L = 6(1.8) - 5(-0.9) = 10.8 + 4.5 = 15.3


R = 15


L ≈ R


x - 2y = 4


L = 1.8 - 2(-0.9) = 1.8 + 1.8 = 3.6


R = 4


L ≈ R

Yeah so your answer is gonna be

A.



Final answer:

After testing the approximate values (1.8, -0.9) in the systems of equations, only option A satisfies both equations with the solution approximately equal to (1.8, -0.9).

Explanation:

To find which system of equations has a solution of approximately (1.8,-0.9), we need to substitute the x-value into each equation to see if the corresponding y-value is approximately -0.9. Whichever system satisfies both equations with these approximate values will be our answer.

For option A, substituting x ≈ 1.8 into the first equation 6x - 5y = 15 gives us 6(1.8) - 5y ≈ 15. This simplifies to 10.8 - 5y ≈ 15, leading to -5y ≈ 4.2, and y ≈ -0.84, which is close to -0.9. Checking the second equation, x + 2y = 0 with x ≈ 1.8, we get 1.8 + 2(-0.9) = 0, which is true. So, option A is a candidate.For option B, using the same method, we test the first equation 4x + 5y = 8 with the given x-value. Substituting x ≈ 1.8 gives 4(1.8) + 5y ≈ 8, which simplifies to 7.2 + 5y ≈ 8. Solving for y does not give us a value close to -0.9.Option C and D will also not yield the approximate y-value of -0.9 when substituting x ≈ 1.8 into their respective equations.

Therefore, the correct answer is option A, as it satisfies both equations with the solution approximately equal to (1.8, -0.9).

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PLEASE ANSWER ASAP

Which table shows a proportional relationship?


b 1 4 5 7 11
c 3 12 15 21 33

p 1 3 5 7 9
q 0 2 4 6 8

r 3 6 10 12 15
s 2 4 6 8 10

x 1 2 3 4 5
y 9 10 11 12 13

Answers

Answer:

b

Step-by-step explanation:


The table with b and c show a proportional relationship.

If you look at the table with b and c, if you multiply b by 3, you get your answer for c directly below.

This does not apply for the rest of the tables. For example, p and q, you cannot multiply 1 by any number to achieve 0, or multiply 3 by a number to get 2.

I hope this helped, and if you don’t mind, giving me brainiest!

Nancy also has a mirror that measures 20.32 centimeters long. What is the length of Nancy’s mirror in inches?
A. 1.45
B. 2.03
C. 8
D. 14

Answers

Answer:

C: 8.00

Step-by-step explanation:

1 in = 2.54 cm

l = 20.32 × 1/2.54

l = 8.00 in

The length of Nancy’s mirror is 8.00 in.

in a parking lot, 43% of the cars have GPS. express this percent as a decimal.

Answers

Answer: 0.43

Think of 43% as 43.0%

Move the decimal 2 spots to the left to go from 43.0 to 0.43

Alternatively, use a calculator to find that 43% = 43/100 = 0.43

"percent" means "per 100", so that's why we're dividing over 100.

.43 is the answer for this problem

What are the actual dimensions of a television that has a 15:9 aspect ratio and a screen that is 42 inches?

Answers

Answer:

Let x be the number.

It is given that a 15 : 9 aspect ratio and a screen that is 42 inches.

Aspect ratio states that  the ratio of the display image’s width to its height.

Then;

Width of the television of(w) = 15x

and

height of the television(h) = 9x.

Since, television is in the form of Rectangle.

and it is also, given that the screen is 42 inches .

⇒Diagonal of the television(D) = 42 inches

Using formula of diagonal of the rectangle :

[tex]D^2 =w^2+h^2[/tex]

Substitute the given values to solve for x;

[tex]42^2 = (15x)^2+(9x)^2[/tex]

[tex]1764 = 225x^2 + 81x^2 = 306x^2[/tex]

or

[tex]x^2 = \frac{1764}{306} = 5.76[/tex]

[tex]x = \sqrt{5.76} = 2.4[/tex]

Then:

width of the television (15x) = 15(2.4) = 36 inches and

Height of the television (9x) = 9(2.4) = 21.6 inches.

Therefore, the actual dimensions of the television are;

width = 36 inches and height = 21.6 inches.


which expression is equivalent to the given expression after using the distributive property 6*13+6*7

Answers

Answer: 6*(13+7) = 60


Step-by-step explanation:

6*13+6*7

6*(13+7) = 6*10 =60

The required equivalent expression is [tex]6(13+7)[/tex].

Given:

The expression is:

[tex]6\times 13+6\times 7[/tex]

To find:

The equivalent expression of the given expression by using the distributive property.

Explanation:

Distributive property: If [tex]a,b,c[/tex] are three real numbers, then

[tex]a(b+c)=ab+ac[/tex]

We have,

[tex]6\times 13+6\times 7[/tex]

Using the distributive property, we get

[tex]6\times 13+6\times 7=6(13+7)[/tex]

Therefore, the required equivalent expression is [tex]6(13+7)[/tex].

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which equation is represented by the table? a) y=|x-4| b) y=|x|-4 c) y=|x|+4 d) y=|x+4|

Answers

Answer:

option (a) y=|x-4| is correct.

Step-by-step explanation:

Solve the question by elimination method i.e. put values of x in the given equations and check if equality holds.

(b) if x=2, then y= |2| - 4 = -2 , which is wrong

(c) if x=2, then y = |2| + 4 = 6, which is wrong

(d) if x= 2, then y = |2 + 4| = 6, which is wrong

The equality holds for (a).


Perry won 122 lollipops playing horseshoes at the county fair. At school he gave four to every student in his math class. He only has 6 remaining. How many students are in his class

Answers

Answer:

29 students

Step-by-step explanation:

First you subtract 6 from 122 so you aren’t counting the remaining 6. You get 116

Then you divide 116 by 4 to find how many students are in his class which is 29

What is the value of the expression (-8/9) divided by (-2/3) multiplied by (-4 1/2)

Answers

Final answer:

The value of the expression is -12, obtained by first converting mixed numbers to improper fractions, dividing and then multiplying the resulting fractions, and finally simplifying them.

Explanation:

The value of the expression (-8/9) divided by (-2/3) multiplied by (-4 1/2) is computed as follows:

Convert the mixed number (-4 1/2) to an improper fraction. (-4 1/2) = -4 - 1/2 = (-8/2) - (1/2) = (-9/2).Divide the fractions (-8/9) by (-2/3) by multiplying by the reciprocal of the divisor. (-8/9) ÷ (-2/3) = (-8/9) × (-3/2) = 8/3.Multiply the result by the improper fraction (-9/2). (8/3) × (-9/2) = -72/6.Simplify the resulting fraction, which gives -12 as the final answer.

3.25+0.5x+1 (1)/(3) + (5)/(6) x=5 (11)/(12)
solve for x

Answers

Answer,

X = 3/4

Explanation,

Step 1: Simplify both sides of the equation.

3.25 + 0.5x + (1)(1)/3 + 5/6x = (5)(11)/12

3.25 + 0.5x + 1/3 + 5/6x = 55/12

(0.5x + 5/6x) + (3.25 + 1/3) = 55/12 (Combine Like Terms)

4/3x + 3.583333 = 55/12

4/3x + 3.583333 = 55/12

Step 2: Subtract 3.583333 from both sides.

4/3x + 3.583333 − 3.583333 = 55/12 − 3.583333

4/3x = 1

Step 3: Multiply both sides by 3/4.

(3/4) * (4/3x) = (3/4) * (1)

x = 3/4



The answer is 3/4 I believe

Gregg has a coin collection album with 275 pages. Each coin is displayed on 1/6 of a page. How many coins will fit in the page?

Answers

Answer:

1650

Step-by-step explanation:

If there are 275 pages and each page can fits 6 coins then you multiply 6 by 275.

Answer:

6 on each page; 1,650 in total coins for all the pages

Step-by-step explanation:

1. The first step is to multiply 1/6*6 to find out how many coins can fit on one page.

2.The second step is to multiply 6 *275. That equals 1,650

It is suggested that an adult drink 64 fluid ounces of water every day. Josey, has already consumed 700 milliliters of water. How many more liters should he drink today?

Answers

Answer:

1.3 L more.

Step-by-step explanation:

Givens

8 fluid ounces = 1 cup.

240 mL = 1 cup

Solution

4 cups = 1 L

64 fluid ounces = x cups

8/64 = 1  / x                          Cross multiply

8x = 64                                 Divide by 8

8x/8 = 64/8

x = 8 cups

So we should be drinking 8 cups a day

1 L = 4 cups

x    = 8 cups                     Cross multiply

4x = 8 cups                      Divide by 4

x = 8/4            

x = 2 Liters.

1 L = 1000 mL

x L = 700 mL

700 * 1 = 1000 * x

Divide by 1000

x = 700 / 1000

x = 0.7 L

He needs to drink 2 L - 0.7L

1.3 more liters.

Answer: 1.3 L

Step-by-step explanation:

In a diagram shown,
PQRS is a rectangle
XY is parallel to PS
RY= 9cm
Area of PQRS = 84cm^2
Area of PXYS = 21cm^2

Work out the values of a and b
You must show all your working.

Answers

Area of XYRY
=84-21
=63

a*9=63

/9. /9

a=7

b*7=21

/7. /7

b=3

Answer:

a = 7cm

b = 3cm

Step-by-step explanation:

84 - 21 = 63cm²

XYRQ = 63cm²

63 / 9 = 7cm

a = 7cm

21 / 7 = 3cm

b = 3cm

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