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The angles opposite to equal sides in the isosceles triangle will be the same thus the measure of angle Q will be 68°.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

As per the given isosceles triangle.

The angles opposite to equal sides in the isosceles triangle will be the same.

Thus, m∠P -= m∠Q

5x + 8 = 9x - 40

9x - 5x = 8 + 40

4x = 48

x = 12°

Thus, m∠Q = 9(12) - 40 = 68°.

Hence "The angles opposite to equal sides in the isosceles triangle will be the same thus the measure of angle Q will be 68°".

For more information about triangles,

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Answer:

3321

Step-by-step explanation:

Answer:

C. 9 years

Step-by-step explanation:

For the saw to depreciate completely, the salvage value of the saw would be 0.

Set S(t) = 0 and solve for t

0 = -75t + 675

75t = 675

t = 675/75 = 9 years

Answer:

600 boys

800 girls

Step-by-step explanation:

Ratio is 3:4

let total number of boys be x

3/4=x/1400-x

4x=3(1400-x)

4x=4200-3x

7x=4200

x=600

600 boys

1400-600 = 800 girls

Answer:

y=2x-2

Step-by-step explanation:

apply point

4=2(3)+n

4=6+n

n=-2

y=2x-2

Answer:

it's 86

Step-by-step explanation:

100-3x6+5-4

100-15+5-4

85+5-4

90-4

86

Answer:

FOURTH ONE DOWN

Step-by-step explanation:

Basically the the format is (vertical / horizontal), so CB and AD are both gonna be denominators (the bottom of the fraction).

** also next time please take a better picture i had to squint my eyes so hard **

Answer:

0

Step-by-step explanation:

slope formula of a line is as follows:

m = Y2 - Y1/ X2 -X1

and so we'll now plot the given points.

note - the 1st values inside the brackets are that of the x values and the ones that come next are the y values of the given line.

now granted, we'll calculate the change of y and then divide it by the change of x

which is simply -5-(-5)/5-(-2) = 0.

What do you need help with? Are you in danger?

Answer:

y=4x+2

Step-by-step explanation:

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Step-by-step explanation:

complementary = adds up to 90 degrees.

supplementary = adds up to 180 degrees.

the complementary angle of y is 43 degrees.

so, y = 90 - 43 = 47 degrees.

the supplementary angle of y = 47 is

180 - 47 = 133 degrees

Hello!

Given the complementary angle of y is 43º.

90 - 43 => 47°

Find the supplementary angle of y​

180-43 => 137°

The rate at which she bats is an illustration of ratio and proportions

She's expected to bat 574 times in 162 games

In 131 games, she bat 464 times

Represent this as a ratio

[tex]\mathbf{Ratio = 131 : 464}[/tex]

Let the number of times she bat in 162 games be represented with x.

So, the ratio is represented as:

[tex]\mathbf{Ratio = 162 : x}[/tex]

Equate both ratios

[tex]\mathbf{162 : x = 131 : 464}[/tex]

Express as fractions

[tex]\mathbf{\frac{x}{162 }= \frac{464}{131 }}[/tex]

Multiply both sides by 162

[tex]\mathbf{x= \frac{464}{131 } \times 162}[/tex]

Multiply

[tex]\mathbf{x= \frac{75168}{131 } }[/tex]

Divide

[tex]\mathbf{x= 574}[/tex]

Hence, she's expected to bat 574 times in 162 games

Read more about ratios and proportions at:

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Answer:

g(- 1) = -2

Step-by-step explanation:

Given the rational function, [tex]g(x) = - \frac{21 + x}{10}[/tex]:

In order to evaluate and find the value of g(-1), simply substitute the input value into the given function.

[tex]g(x) = - \frac{21 + x}{10}[/tex]

[tex]g(-1) = - \frac{21 - 1}{10}[/tex]

[tex]g(-1) = - \frac{20}{10}[/tex]

g(-1) = -2

Therefore, the output value when g(- 1) is: g(- 1) = -2.

You can treat x and 2x+1 just as though they are real numbers.

So f(2x+1) = 3(2x+1) - 5 = 6x + 3 - 5 = 6x - 2

In the above, I made use of something called the distributive law which says that if a,b and c are real numbers, then a(b+c) = ab + ac.

Answer:

15 slices

Step-by-step explanation:

Joe ate 2 slices (1/4 = 2/8), Rhoda ate 3 (3/8), Chris ate 4.

2+3+4= 9.

there are 3 pizzas divided into 8 slices per pizza.

3 x 8 = 24 ; 24 slices total

subtract 9 (that’s what was consumed) from 24.

24-9 = 15

I hope it helps.

Answer: Tony has 70

kaitlin has 77 david has 79

Step-by-step explanation:

i hope this helped im not sure if this is right i tried to do the math but pls leave a thanks if helped

Answer:

[tex]x=\pm\sqrt{y+64}[/tex]

Step-by-step explanation:

All you need to do is isolate the x.

First, add 64 to both sides:

[tex]y=x^2-64\\x^2-64+64=y+64\\x^2=y+64[/tex]

Then, take the square root of both sides:

[tex]\sqrt{x^2}=\sqrt{y+64}\\x=\sqrt{y+64[/tex]

Actually, that is:

[tex]x=\pm\sqrt{y+64}[/tex]

Here's the reason for that. An example would be:

[tex]x^2=4[/tex]

Here, you'd take the square root of both sides to solve for x.

[tex]\sqrt{x^2}=\sqrt{4}\\x=2[/tex]

Right? But X could also be a -2, because a negative times a negative is a positive.

[tex](-2)^2=4\\-2\times-2=4\\4=4[/tex]

Therefore, [tex]x=2, -2[/tex] or [tex]x=\pm2[/tex]

[tex]x^2=2\times2=4\\x^2=-2\times-2=4[/tex]

Answer:

6,0 10,4

Step-by-step explanation:

find the y Axis and then the x Axis

Answer:

$60

Step-by-step explanation:

4/100= 0.04

$1500 x 0.04 = 60

Answer:

Angle 1= 69

Angle 2= 37

Angle 3= 106

Angle 4= 21

Step-by-step explanation:

(Angle 2) The box in the corner is a 90-degree angle. So, 90-53=37

(Angle 1) Now that you have angle 2, add 37+74. You get 111. Subtract 180 and 111.

The answer for angle one is 69.

(Angle 3) Since it is a line, the two angles combined are 180 degrees. 180-74= 106.

(Angle 4) Now that you have angle 3, add 106 and 53. You will get 159. 180-159= 21

The answer to that one is C

Answer:  The answer is 284.

Step-by-step explanation:

The area of the garden is an annulus whose,  

Outer diameter = 18 ft  

Inner diameter = 18 ft - 2*3ft = 12 ft

Therefore,  

Outer radius = 18/2 = 9 ft  

Inner radius = 12/2 = 6 ft  

 Area of garden = Area of annulus  

 Area of garden = π*(9 ft)2 - π * (6 ft)2

 Area of garden = 142  

 Given:  

2 flowers are planted per square foot.  

 Therefore for 142 ft2,  

Number of flowers required = 2*142 = 284  

 The answer is 284.

Answer:

it is D

Step-by-step explanation:

Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is  y = − 1 .  Horizontal Asymptote:  y = − 1

Answer:

Answer is graph A

Step-by-step explanation:

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