Hw 17 arcs and chords

Hw 17 Arcs And Chords

Answers

Answer 1

Answer:

1. 105°

2. 85°

3. 80°

4. 148°

5. 116°

6. 82°

7. 135°

8. x = 7

9. x = 2

10. x = 1

11. x = 10

Step-by-step explanation:

1. Arc WZ = Arc XY

Arc WZ = 105° Therefore Arc XY = 105°

2. Arc SR = Arc TU

Arc SR = 85° Therefore Arc TU = 85°

3. Arc PQ = Arc QR

Arc PQR = 40° + 40°

Arc PQR = 80°

4. Arc RT = 64°

x = (360° - 64°)/2

x = 296°/2

x = 148°

5. x = 116°

If the chords are congruent to each other, then the arcs are also congruent to each other.

6. x = 82°

If the chords are congruent to each other, then the arcs are also congruent to each other.

7. Arc BC = 90°

x = (360° - 90°)/2

x = 270°/2

x = 135°

8. 2x + 4 = 18

2x = 18 - 4

[tex]\dfrac{2x}{2}=\dfrac{14}{2}[/tex]

x = 7

9. 2x + 1 = 5x - 5

2x - 5x = -5 - 1

[tex]\dfrac{-3x}{-3} = \dfrac{-6}{-6}[/tex]

x = 2

10. 3x + 16 = 12x + 7

3x - 12x = 7 - 16

[tex]\dfrac{-9x}{-9}=\dfrac{-9}{-9}[/tex]

x = 1

11.  3x - 11 = x + 9

3x - x = 9 + 11

[tex]\dfrac{2x}{2}=\dfrac{20}{2}[/tex]

x = 10


Related Questions

Select the correct answer! Which point is the vertex of the graph defined by f(x) = 6|x − 2| − 5?
A. (6, 5)
B. (2, -5)
C. (0, 0)
D. (6, -2)

Answers

The Answer to your question is:

B: (2,-5)

Answer:

the vertex is (2,-5)

Step-by-step explanation:

f(x) = 6|x − 2| − 5

WE need to find out the vertex of the given absolute function

The vertex form of absolute function is

f(x) = a|x − h| +k

where (h,k) is the vertex

Now we compare the given f(x) with the vertex form

h= 2  and k = -5

so the vertex is (2,-5)

what is the height and length of a rectangular box with a volume of 6x^2-600 with a width of 6

Answers

Answer:

(x+10) and (x-10)

Step-by-step explanation:

The volume of a rectangular box is defined as

Volume = width*height*length

In this case

Volume  = 6x^2-600  =  6*(x^2 - 100)

And we also know,

Volume  =  (6)*height*length

So,

6*(x^2 - 100) = (6)*height*length

This means that

height*length = (x^2 - 100)

height*length = (x+10)*(x-10)

What is the sum of an infinite geometric series if the first term is 8 and the common ratio is 1⁄2?

A. 16
B. 8
C. 32
D. 4

Answers

Answer:

A

Step-by-step explanation:

The sum to infinity of a geometric series is

S (∞ ) = [tex]\frac{a}{1-r}[/tex] ( - 1 < r < 1 )

where a is the first term 8 and r is the common ratio, hence

S(∞ ) = [tex]\frac{8}{1-\frac{1}{2} }[/tex] = [tex]\frac{8}{\frac{1}{2} }[/tex] = 16

This sum of the infinite geometric series is 16 since the correct option is (A) 16.

Definition of infinite geometric series:

The sum of infinite geometric sequences is called an infinite geometric series. There would be no final term in this series. The infinite geometric series has the general form a1+a1r+a1r2+a1r3+..., where a1 is the first term and r is the common ratio. The sum of all finite geometric series can be found.

How to find the sum of the series?

In terms of the first term a1 and the common ratio r, the sum is...[tex]S =\frac {a_1}{(1-r)}[/tex]

We discover... by substituting the given numbers and performing the arithmetic...[tex]S = 8/(1 -1/2) = 16[/tex]

The total number of items in the series is 16.

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A bike shop charges x dollars to rent a bike for half a day.it charges (x+40)dollars to rent for a full day.the table shows the shops bike rentals for one day.on that day the shop made a total of $600from bike rentals.how much does it cost to rent a bike for a full day?

Answers

Final answer:

The cost of full-day bike rental cannot be calculated because the information about how many half and full day rentals exist was not provided. This is needed to create an equation using the given variable and total revenue.

Explanation:

The question is about finding the cost of a full day bike rental. From the problem, we know that the total revenue from the rentals was $600. However, as the necessary information about the number of half-day and full-day rentals for the given day is not provided, we cannot provide a specific price. Usually, if we know the number of half-day and full-day rentals, we can set up an equation to determine the cost of a full day rental, denoted as (x+40) in the problem.

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**WILL MARK BRAINLIEST AND THANK YOU**

Solve the equation f(x)=g(x) by graphing the functions f(x)=3^x+1 and g(x)=4 on the same set of coordinate axes.

Which statements about the solution are true?

Select *EACH* correct answer.

A. The solution to the equation is x=1

B. The ordered pair that contains the solution to the equation lies in Quadrant I

C. The ordered pairs that contain the solutions to the equation like in Quadrants I and II.

D. There are 2 solutions to the equation.

E. The ordered pair that contains the solution to the equation lies in Quadrant II

Answers

See the graph below.

The answer is: B. The ordered pair that contains the solution to the equation lies in Quadrant I

10y^2+10y+3=0 use quadratic formula to solve each equation ​

Answers

Answer:  [tex]\bold{-\dfrac{1}{2}\pm \dfrac{\sqrt5}{10}}i[/tex]

Step-by-step explanation:

[tex]10y^2+10y+3=0\qquad \rightarrow \quad a=10,\ b=10,\ c=3\\\\y=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\y=\dfrac{-10\pm \sqrt{10^2-4(10)(3)}}{2(10)}\\\\\\.\ =\dfrac{-10\pm \sqrt{100-120}}{2(10)}\\\\\\.\ =\dfrac{-10\pm \sqrt{-20}}{2(10)}\\\\\\.\ =\dfrac{-10\pm 2i\sqrt5}{2(10)}\\\\\\.\ =\dfrac{-5\pm i\sqrt5}{10}\\\\\\.\ =-\dfrac{1}{2}\pm \dfrac{\sqrt5}{10}i[/tex]

Solve these equations. Show solutions on a number line.

 |x+8|=x+8

Answers

Answer:

-8 < x < inf

[-8 , inf )

Step-by-step explanation:

set up a +/- |x + 8| = x + 8

the setup a number line and use test points

Answer:

x > -8

Step-by-step explanation:

ummmmmm so its not negative lol

Please help solve this question.

Answers

Answer: OPTION A

Step-by-step explanation:

Descompose the number 20 into its prime factors:

[tex]20=2*2*5=2^2[/tex]

Because, by definition:

[tex]\sqrt[n]{a^n}=a[/tex]

 Then, you must rewrite 2²*5 inside of the square root, as following;

[tex]\frac{3\sqrt{2^2*5}}{\sqrt{5}}[/tex]

Simplify as following:

Keeping on mind that [tex]\sqrt[n]{a^n}=a[/tex], then:

[tex]\frac{3*2\sqrt{5}}{\sqrt{5}}[/tex]

 Note:

[tex]\frac{\sqrt{5}}{\sqrt{5}}=1[/tex]

Then:

[tex]\frac{6\sqrt{5}}{\sqrt{5}}=6(1)=6[/tex]

Therefore, as you can see the answer is the option A

Answer:

option A)

6

Step-by-step explanation:

Given in the question the expression

3√20 / √5

(3 x √20) / √5

√20 can be separated as 5x4

(3 x√5x4) / √5

square root rule

(3 x  √5√4) / √5

cancelling √5 from both sides

3 x √4

3 x 2

6 answer

So simplified form of  3√20/√5 is 6

this one is confusing​

Answers

Answer:

see explanation

Step-by-step explanation:

given

2x ÷ 4 = 10 or

[tex]\frac{2x}{4}[/tex] = 10 ( multiply both sides by 4 )

2x = 40 ( divide both sides by 2 )

x = 20

-------------------------

(b)

He may have mistaken the ÷ for  a - (subtraction sign )

2x - 4 = 10 ( add 4 to both sides )

2x = 14 ( divide both sides by 2 ), leading to

x = 7 ← the incorrect answer he obtained

Answer:

Step-by-step explanation:

Juan and Rob are selling cookie dough for a school fundraiser . Juan has t cookie dough orders , and Rob has 40 cookie dough orders . They have a total of 75 cookie dough orders all together . Write a equation to describe this situation . How many cookie dough orders does Juan have?​

Answers

Answer:

Juan has 35(t) cookie dough orders.

Step-by-step explanation:

75(Overall) - 40(Rob's) = 35(Juan's)

Hope this helps you. :)

Answer:

t+ 40 = 75; t = 35

Step-by-step explanation:

t + 40 = 75

Subtract 40 from each side.

t = 35

Juan has 35 cookie dough orders.

a 12 inches by 12 inches by 12 inches container of water was placed in the freezer.Water expands 4% when it is frozen.What is the volume of the container when it is frozen?​

Answers

1,797.12 cubic inches



First, find the original volume of the container.

12 in * 12 in * 12 in = 1,728 in^3

Now, add 4%, or multiply by 104%, which is 1.04.

1,728 in^3 * 1.04 = 1,797.12 in^3

So, the volume of the container when it is frozen is 1,797.12 cubic inches.



Please consider marking this answer as Brainliest to help me advance.

Start time 7:59am,end time 2:33 pm elapsed time is

Answers

6:34 minutes Six hours thirty four minutes

Answer:

6 hours 34 minutes.

Step-by-step explanation:

12.00 pm - 7.59 am =  4 hours 1 minute.

2.33 pm - 12.00 pm =  2 hours 33 minutes.

Answer is 6 hours 34 minutes.

Confused so can someone help

Answers

The correct answer to this would be graph a.

For this case we must indicate the graph corresponding to the following inequality:

[tex]y <\frac {3} {4} x + 2[/tex]

As it is observed that equality is not included, we can discard options C and D. We are left with the graphs of the dotted border line.

Graphic A:

We evaluate in the inequality the point [tex](0,0)[/tex]

[tex]0 <\frac {3} {4} (0) +2\\0 <2[/tex]

The inequality is met.

Thus, the inequality is represented in graph A.

Answer:

Option A

there are four students in each small reading group there are 24 students in all.
how many reading groups are there​

Answers

Answer:

6

Step-by-step explanation:

24 / 4 = 6

Final answer:

The number of reading groups can be determined by dividing the total number of students, which is 24, by the number of students in each group, which is 4. The calculation is 24 ÷ 4, resulting in 6 reading groups.

Explanation:

To find the number of reading groups, we can use a simple division operation because we are dividing a larger group of items (students) into smaller equal-sized groups. In this case, we have 24 students and want to find out how many groups of 4 students we can create from that total.

Here's the step-by-step explanation:

Identify the total number of students, which is 24.

Identify the number of students in each reading group, which is 4.

Divide the total number of students by the number of students in each group: 24 ÷ 4 = 6.

Therefore, there are 6 reading groups.

A box in the shape of a right rectangular prism has a length of 8 inches, a width of 4 inches, and a height of 3 inches. What is the volume, in cubic inches, of the box? Do not round your answer.

Answers

Answer:

V = 96 cubic inches

Step-by-step explanation:

Volume of a rectangular prism is V= LWH,  

we are given W = 4, L = 8, and H = 3.  Plug  them in and find W...

V = (4)(8)(3)

   V = 32(3)

 

      V = 96 cubic inches

Calculate the median of 5,10,12,4,6,11,13,15

Answers

the median would be 10.5

Solve for x: −3|x − 3| = −6

Answers

Answer:

x = 5                         x = 1

Step-by-step explanation:

−3|x − 3| = −6

Divide each side by -3

−3/-3|x − 3| = −6/-3

|x − 3| = 2

An absolute value is equal to a positive and negative solution

x-3 =2      and      x-3 = -2

Add 3 to each side

x-3+3 = 2+3            x-3+3 = -2+3

x = 5                         x = 1

Which situation CANNOT be represented by this equation?  6x−7=29

Answers

Answer:

You have it correct, letter A or the one on the top.

Step-by-step explanation:

The main difference between the top one and the bottom two is the top one says, earns $7 an hr. which it should be $6 and hr (6x).

Plz mark brainliest if you can!

Amélie runs a bakery. She wants to find out whether her cake sales are affected by the weather conditions. She recorded the daily temperature and the number of cakes she sold on different days of the year. The table shows the data she gathered.

Daily Temperature (°F) Cakes Sold
42 39
45 52
48 31
54 61
59 72
62 35
64 61
65 34
67 58
75 45
84 24
The correlation coefficient is close to .

Based on this information, we can conclude that Amélie's cake sales are affected by the daily temperature.

Answers

Answer:

the coeffiectans is 100

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that Amélie runs a bakery. She wants to find out whether her cake sales are affected by the weather conditions. She recorded the daily temperature and the number of cakes she sold on different days of the year

Let us find the correlation coefficient for the variables x, daily temperature and y, no of cakes sold.

x y

 

42 39

45 52

48 31

54 61

59 72

62 35

64 61

65 34

67 58

75 45

84 24

 

r -0.197481837

Since r is nearer to 0 than to 1, we find that there is a negative very moderate correlation between the two variables.

We cannot conclude that  Amélie's cake sales are affected by the daily temperature.

At the fair the ratio of male to females was 4:5. If there are 160 males at the fair, how many females are there? Show work.

Answers

Ratio: 4:5 or 4/5
This means that for every 4 males, there are 5 females
There are 160 males at the fair, so divide 160 by 4 to get 40
Then, multiply 40 by 5 to get 200

That means that if there are 160 males at the fair, there are 200 females.
I hope this helps! :)

2. Simplify 2(54−1)3 completely. Show as much work as possible for full credit.

Answers

[tex](2 \times 54 - 2)3 = 108 - 2 \times 3 = 106 \times 3 = 318[/tex]

Answer:

[tex]\boxed{\bold{318}}[/tex]

Step By Step Explanation:

Calculate Within Parenthesis: [tex]\bold{(54-1)}[/tex]

[tex]\bold{53}[/tex]

Rewrite Equation

[tex]\bold{2\cdot \:53\cdot \:3}[/tex]

Multiply: [tex]\bold{2\cdot \:53\cdot \:3}[/tex]

[tex]\bold{318}[/tex]

➤ [tex]\boxed{\bold{Mordancy}}[/tex]

la altura de un triángulo equilátero cuyo perimetro mide 45 cm ?

Answers

Search it up!!!!!!!!

Which of the following is NOT a statistical?

A. How often do students at your school go swimming?
B. What are the ages of your family members that can swim?
C. How many times did you go swimming the last week?
D. What is the average amount of time you spend at the pool when you go?​

Answers

The correct answer is C- How many times did you go swimming last week.

Use the provided ruler suppose you re-create the drawing so I had a scale of 1 cm to 4 cm in length and width of the new scale drawing be

Answers

Final answer:

To recreate a drawing on a new scale of 1 cm to 4 cm, simply multiply the original dimensions by the scale factor of 4.

Explanation:

If you are given a drawing and you want to recreate it on a new scale where 1 centimeter (cm) in the original equals to 4 centimeters in the new drawing, then you simply have to multiply the dimensions of the original by 4. Suppose the original drawing is 2 cm in length and 3 cm in width. Then the new length would be 2 cm * 4 = 8 cm and the new width would be 3 cm * 4 = 12 cm. Remember this is a general concept and can be applied to all dimensions of the drawing. It's a basic concept in proportion and scale factor.

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A line has a slope of a and has a y intercept of (0,b).Which equation represents this libe

Answers

Answer:

y = ax + b

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept → (0, b)

We have the slope m = a, and the y-intercept b.

Substitute:

y = ax + b

the figure is made up of 2 rectangles and 2 right triangles. what is the area of the figure? A 132 units² B 156 units² C 168 units² D 216 units² ​

Answers

Answer:

Total area=132cm^2

I hope this helps :)

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if x/8 =5/4 then x=10 true false

Answers

Answer:

true

Step-by-step explanation:

given

[tex]\frac{x}{8}[/tex] = [tex]\frac{5}{4}[/tex] ( cross- multiply )

4x = 40 ( divide both sides by 4)

x = 10

Final answer:

The equation x/8 = 5/4 is solved by multiplying both sides by 8, resulting in the correct solution x = 10. Thus, the statement is indeed true.

Explanation:

To solve the equation x/8 = 5/4, we need to perform algebraic operations to solve for x. We multiply both sides of the equation by 8 to isolate x on one side, which gives us:

x = (5/4) × 8

Now, we simplify this further:

x = (5 × 2) = 10

Therefore, the statement 'if x/8 = 5/4 then x = 10' is true, since we have confirmed that multiplying 5/4 by 8 indeed equals 10. It is important to understand that multiplication and division are inverse operations, and we can solve for an unknown by isolating it on one side of the equation.

How do you find the area of a circle if you already have the diameter

Answers

Answer:

If you have the diameter of a circle, you can use it to find the area of that circle. Just plug that value into the formula for the area of a circle and solve. Hope this helps. :)

Answer:

The area of a circle is Pi * Radius^2 or Pi * diameter.

So do 3.14 * the diameter.

What is the product? 2y/y-3 multiplied by 4y-12/2y+6

Answers

Answer:

The answer is 4y / y+3

Step-by-step explanation:

See the attached figure

Answer:

D. 4y/y+3

thanks (:

plz solve ASAP
solve the equation


-3(y-5)=24


y=?

Answers

Answer:

3

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

-5 - 3 = -7

-8 * -3 = 24

bc a (-) plus a (-) equals a (+)

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