!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?

Answer:

x-intercept is (40/7, 0) and y-intercept is (0, 5)

Step-by-step explanation:

x-intercept ==> y-coordinate is 0 ==> y=0

y-intercept ==> x-coordinate is 0 ==> x=0

because the function is 7x + 8y = 40

when y = 0 ==> 7x = 40 ==> x = 40/7

so the x-intercept is (40/7, 0)

when x = 0 ==> 8y = 40 ==> y = 5

so the y-intercept is (0,5)

Answer:

Domain is 3 <x>_-2

Range is 6 <x>_-3 (the lines are supposed to be under the >. it means equal to)

Step-by-step explanation:

First look on the x-axis, is goes from 3 to -2. now look at the colored in dot. that means more than or equal to. So the sign of -2 is x >_ -2. put the 3 on the other side. It stops at three so the sign is > 3. so 3<x>_ -2

Do the same with the y-axis except look up and down instead of left and right. so the numbers are 6 and -3. Use the same method above. this is set builder notation.

Step-by-step explanation:

let the 1st number be x

and,

2nd number = 2x

3rd number = 2x + 6

their sum = 66

so, after inserting the values we got

→ x + 2x + 2x + 6 = 66

→ 5x + 6 = 66

→ 5x = 66 - 6 = 60

→ x = 60/5 = 12

→ x = 12

therefore,

1st number = x = 12

2nd number = 2x = 12 × 2 = 24

3rd number = 2x + 6 = 24 + 6 = 30

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

The angles of a triangle all add up to 190º, so the answer would be 63º

Step-by-step explanation:

The bottom angle is a right angle; 90º

The top left angle is 37º

So the top right angle must be 63º

Hope This Helps!

Answer:

QS, RT

Step-by-step explanation:

All you had to do was know what congruent means and count how many marks are between w and y (it was 5), and then find the letters that also are exactly 5 markers apart.

Answer:

Step-by-step explanation:

It is not a function, a vertical line passes through two graphed points.

(-1,3) and (-1,2)

Answer:

There is no solution.

Step-by-step explanation:

In simplifying this, you'd start by distributing the negative sign on the left.

-(6x + 6) + 2 = -6x - 3 becomes -6x - 6 + 2 = -6x - 3.

Then you can add -6 and 2 on the left.

-6x - 6 + 2 = -6x - 3 becomes -6x - 4 = -6x - 3.

With that done, you can add 4 to both sides.

-6x - 4 = -6x - 3 becomes -6x = -6x + 1.

Then, add 6x to both sides.

-6x = -6x + 1 becomes 0 = 1.

Here, we run into an issue - 0 does not equal 1, and there is no way to avoid running into this while solving this equation. This means that this problem has no solution, there is no value that x can have that would make it true.

Answer:

A, E, and D

Step-by-step explanation:

Answer:

[tex]2x = 126 \\ x = 126 \div 2 = 63 \\ \\ z = y = x = 63[/tex]

Answer:

f(- 4) = 13

Step-by-step explanation:

We require to find the value of t which makes f(t) = 13

Equating the right sides gives

- 2t + 5 = 13 ( subtract 5 from both sides )

- 2t = 8 ( divide both sides by - 2 )

t = - 4

Then

(f(- 4) = 13

Answer:

-232.5

Step by Step Explanation:

Properties used:

All angles of a triangle add up to 180 degrees

180 is a straight line; so both sides of a straight line add up to 180

10) 180 - 153 = 27

180-27-133 = ?

? = 20 degrees

11) 180-87=93

180-93-23=?

? = 64 degrees

Answer:

11.) Angle FED = 20 Degrees | 12.) Angle FHG=74

Step-by-step explanation:

11.) Angle FED= 20 degrees

one side of a straight line = 180 degrees

all the angles of the insides of a triangle added together = 180 degrees

If angle EDF is 153 degrees, we do 180 - 153 = 27 degrees. Now we know that angle FDE = 27 degrees. Now we add all the angles we have together. 133+?+27=180. (133+27=160) If 160+?=180, we solve it by doing: 180-160, and we get 20.

12.) Angle FHG=74

For this problem, we use the same formulas as before. So let's solve!

180-87=93. So angle GFH=83 degrees.

Now we need to add the angles together:

83+23+?=180. 83+23=106

180-106=74.

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Answer: 2l+2w=48

Subtract 2w from both sides.

2l=48−2w

Divide both sides by 2.

2

2l

​

=  

2

48−2w

​

Dividing by 2 undoes the multiplication by 2.

l=  

2

48−2w

Divide 48−2w by 2.

l=24−w

Answer:

14centimeters

Step-by-step explanation:

from our equation,

2l + 2w = 48

we know that the width = 10cm

so,

2l + 2( 10 ) = 48

2l + 20 = 48

2l = 48 - 20

2l = 28

divide through by 2

2l / 2 = 28 / 2

l = 14

therefore,

l = 14 centimeters

Answer:

(1,3)

Step-by-step explanation:

the slope is NEGATIVE 3/2

Answer:

[tex]f( - 1) = - 2[/tex]

Step-by-step explanation:

[tex]f(x) = - 6 {x}^{2} + 3x + 7 \\ f( - 1) = - 6 {( - 1)}^{2} + 3( - 1) + 7 \\ = - 6(1) + ( - 3) + 7 \\ = - 6 - 3 + 7 \\ = - 2[/tex]

I hope I helped you^_^

Answer:

The logic is there are six sides to each die, so for each number on one die you can pair with six different numbers on the other die. Therefore, the probability of rolling a prime number on two dice is 15/36, which reduces to 5/12

Answer:

The answer is -20x+1y-5

Step-by-step explanation:

Answer:

do your self it is easy

Step-by-step explanation:

do your self it is easy

Answer:

2 angles are acute and right angles

Step-by-step explanation:

acute is less then 90 degrees and a right angles is 90

Answer:

The selling price is $17.40

Step-by-step explanation:

x = selling price

x = 12 + 0.45(12)

x = 12 + 5.4

x = 17.4

The final selling price is $17.40.

Percentages are percents of a whole. This means that 45% = 0.45. You can use this to your advangage when solving these types of equations.

Answer:

$17.40

Step-by-step explanation

Find what 45% of 12 is.

You can do this by multiplying 0.45 by 12 which is 5.4

Then you just add 5.4 to 12 which gives you 17.4  

Answer: x=50

how?

[tex]\frac{x}{2}[/tex] - 5= 20 (first ADD 5 with 20 whatever you do on one side you have to do it to the other) so that gives us:

[tex]\frac{x}{2}[/tex]=25 (we see that 2 is being divided by x and we want X alone so the inverse of division is MULTIPLICATION)

25 x 2= 50

therefor the x=50

Answer:

Step-by-step explanation:

The budget is $600.

Samantha spends the following amount:

Now, she plans to buy w outfits which cost $75.88 each.

The inequality for this is:

Solving this we get:

w = 1 is the only integer solution greater than zero

Answer:

it would have tobe the forst option but iy has to be written 11.7 × 10^4

Answer:

Its the one right below that

Step-by-step explanation:

Rather than showing how these parts contribute to a whole, they just show the percentages of how many agree in each catagory.

Hope this helps!

Pls mark brainliest if correct:)

Answer:

add 8x to both sides

Step-by-step explanation:

BRAINLIEST PLEASE !!

Answer:

Step 1: Subtract 3 from both sides of the inequality.

Step 2: Add 8x to both sides

Step 3: Divide both sides of the inequality by the coefficient of x.

Step-by-step explanation:

Step 1: 2 - 8x < 2x

Step 2: 2 < 10x

Step 3: 1/5 < x

Answer:

dividing

Step-by-step explanation:

because dividing is the one and the only method to give 15 children equal money

Answer:

4m

Step-by-step explanation:

First subtract:

9m-7m=2m

Then add:

2m+2m= 4m

Hope this helps!

Pls mark brainliest if correct:)

Answer:

The correlation coefficient is determined by dividing the covariance by the product of the two variables' standard deviations. Standard deviation is a measure of the dispersion of data from its average. Covariance is a measure of how two variables change together.