What are the values of s, v,w, x,y, z?

s, v, w, & x = 13      y = 20        z = 20 + 13√3

Step-by-step explanation:

First, you need to understand the side lengths of each special triangle in the drawing.

A 45°- 45°- 90° triangle has corresponding sides of a - a - a√2

A 30°- 60°- 90° triangle has corresponding sides of b - b√3 - 2b

The hypotenuse of the 45-45-90 triangle is 13√2, so its legs are 13.

So A F = 13 → s = 13 and w = 13

     FB = 13 → x = 13

     EC = 13 → v = 13

Since the x-value of C is 20, then the x-value of E is also 20 → y = 20

ED is opposite of the 60° angle of the 30-60-90 triangle so ED is EC√3.  Since EC = 13, then ED = 13√3.

AE + ED = AD

20 + 13√3 = AD → z = 20 + 13√3

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.