Fill in the blanks as necessary.
(a) Kaitlin is deciding how many people to take to the movies. The table below
shows the cost for different sized groups of people.
Number in group
2
3
7
Cost (in dollars)
10
15
28
The cost for each person is not always the same.
The cost for each person appears to be the same.
Predicted number in group for a cost of $40:

Answer:

[tex]\implies m\angle A =42\degree[/tex]

Step-by-step explanation:

Quadrilateral ABCD is inscribed in circle with center O.

-> Quadrilateral ABCD is cyclic.

Opposite angles of a cyclic quadrilateral are supplementay.

[tex]\implies m\angle B + m\angle D = 180\degree[/tex]

[tex]\implies (2x)\degree + (3x-5)\degree = 180\degree[/tex]

[tex]\implies (5x-5)\degree = 180\degree[/tex]

[tex]\implies 5x-5= 180[/tex]

[tex]\implies 5x= 185[/tex]

[tex]\implies x= \frac{185}{5}[/tex]

[tex]\implies x= 37[/tex]

[tex]\implies m\angle A =(x+5)\degree[/tex]

[tex]\implies m\angle A =(37+5)\degree[/tex]

[tex]\implies \huge{\orange{m\angle A =\boxed{42}\degree}}[/tex]

Answer:

[tex]y=\frac{1}{10}x + 7[/tex]

Step-by-step explanation:

Hi there!

We are given the points (-20, 5) and (-10, 6)

We want to write the equation of the line in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope, and b is the y intercept

First, let's find the slope of the line

The formula for the slope (m) calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex]and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes

[tex]x_1=-20\\y_1=5\\x_2=-10\\y_2=6[/tex]

Substitute these values into the formula to find the slope

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{6-5}{-10--20}[/tex]

Simplify

m=[tex]\frac{1}{-10+20}[/tex]

m=[tex]\frac{1}{10}[/tex]

The slope (m) of the line is 1/10

We can substitute this value into the formula y=mx+b

y = [tex]\frac{1}{10}x[/tex] + b

Now we need to solve for b

As the equation passes through the points (-20, 5) and (-10, 6), we can use either point to solve for b.

Taking (-20, 5) for instance:

Substitute -20 as x and 5 as y:

5=[tex]\frac{1}{10}(-20)[/tex] + b

Multiply

5=-2+b

Add 2 to both sides

7=b

Substitute 7 as b.

y=[tex]\frac{1}{10}x + 7[/tex]

Hope this helps!

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Answer:

x = 30

Step-by-step explanation:

x/2 = 12 + 3

x = 2(12+3)

x = 30

Answer:

Answer: x=12

Step-by-step explanation:

The two angles provided are on a straight line

A straight line is 180 degrees, so we can add the two angles to make 180 and solve for x

[tex]10x-20+6x+8=180[/tex]

Simplify

[tex]10x-20+6x+8=180\\10x+6x-20+8=180\\16x-12=180[/tex]

Add 12 on both sides

[tex]16x-12=180\\16x-12+12=180+12\\16x=192[/tex]

Divide both sides by 16 to isolate x

[tex]16x=192\\\frac{16x}{16} =\frac{192}{16} \\x=12[/tex]

Answer:

2880 ft³

Step-by-step explanation:

T o find the total amount of water that is needed to fill the pool, you have to find the volume of the pool.

Formula to find the volume of a rectangle prism is :

Volume = length × width × height

Let us solve now.

Volume = length × width × height

Volume = 36 ft × 20 ft × 4 ft

Volume = 2880 ft³

Therefore, 2880 ft³ of water is needed to fill the pool.

Answer:

Around x = 3 y = 6

Step-by-step explanation:

I'm not sure if you need to round to the nearest whole or hundreth or tenth

Answer:

A

Step-by-step explanation:

using the quadratic formula

in the picture above

Answer:

250÷50=3 because I have a great day and I will be in the 3 1 4 a few days ago a friend of ours was the only thing

Step-by-step explanation:

yes maybe no more options visit in the future please reply with your family

Answer:

no solutions

Step-by-step explanation:

x+y = 5

-2x-2y = 10

Multiply the first equation by 2

2x+2y =10

Add this to the second equation

2x+2y =10

-2x-2y =10

0 =20

This is not true so there are no solutions

Answer:

Step-by-step explanation:

Please take a clearer picture couldnt read it well

coefficient of 5r² is 5

hope it helps...!!!

Answer:

5 3/12 cm^2

Step-by-step explanation:

I just put it in the calculator.

Answer:

x = 47°

Step-by-step explanation:

First see that Angle W is 90°. Either because T is the center and LS is a diameter. Or because Arc LCS is 180° so Angle W is half that = 90°

Then, see Triangle WSL. The angles in a triangle add up to 180°

90° + x + x-4 = 180°

Subtract 90°

x + x - 4 = 90

Combine the x's

2x - 4 = 90

Add 4

2x = 94

Divide by 2.

x = 47

The right answer would be 216

1) 6*6=36

2)36*6=216

The amount Dempsey can expect to receive from the sale of the bonds is $424,578.27.

The amount that would be recieved from the sale of the bond is the present value of the bond. Present value is the sum of discounted cash flows.

Present value can be determined using a financial calcualtor:

PV = $424,578.27

To learn more about present value, please check: https://brainly.com/question/26537392

Applying the angles of intersecting secants theorem, the measures of the arcs are:

m(KL) = 20°; m(MJ) = 80°.

When two secants intersect and form an angle outside the circle, the measure of the angle formed is half the positive difference of the measures of the intercepted arcs.

Given the following:

m∠MEJ = 1/2(MJ - KL)

30 = 1/2(MJ - KL)

60 = MJ - KL

KL = MJ - 60

m∠MFJ = 1/2(MJ + KL)

50 = 1/2(MJ + MJ - 60)

100 = 2MJ - 60

2MJ = 100 + 60

2MJ = 160

MJ = 160/2

MJ = 80°

KL = MJ - 60 = 80 - 60

KL = 20°

Thus, applying the angles of intersecting secants theorem, the measures of the arcs are:

m(KL) = 20°; m(MJ) = 80°.

Learn more about angles of intersecting secants theorem on:

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Answer:

See below

Step-by-step explanation:

[tex] \sec \: I = \frac{HI}{IJ} \\ \\ \implies \: \sec \: I = \boxed{\frac{89}{39} }[/tex]

7^-2 x 3^2 = 3 x 7^4x should be your equation.

I don't know if this is what you were looking for but I hope it helps.

Answer:

(4, -3)

Step-by-step explanation:

To solve this with graphing all you need to do is enter both equations in a graphing calculator (you can use desmos online) and then find the point where both lines intersect.

PART A: 100 wolves population

PART B: 6/5

Answer:

Part A: 100 wolves population.

Part B:6/5

Step-by-step explanation:.

Pi times radius squared times (height÷3)

if radius is 6 then 490.09

if radius is 13 then 1061.86

The fraction is 5/2

The decimal is 2.5

The amplitude of a periodic graph of a function is 2 because the amplitude of the function is half of the difference between the maximum and minimum values of a function.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function(refer to attached picture)

We know the amplitude of the function is given by:

[tex]\rm Amplitude \ of \ f \ = \frac{1}{2} |max \ f -min \ f|[/tex]

As we can see in the graph the maximum value is 0 and

the minimum value of a function is -4, thus the amplitude

[tex]\rm Amplitude \ of \ f \ = \frac{1}{2} |0 -(-4)|[/tex]

The amplitude of f = 2

Thus, the amplitude of a periodic graph of a function is 2 because the amplitude of the function is half of the difference between the maximum and minimum values of a function.

Learn more about the function here:

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#SPJ1

Answer:

3/4 simplified is 3/4 but when 2 1/4 is simplified it is 9/4. Off the bat we know there is a big difference. Also, 2 and 1/4 is irrational and 3/4 and rational.