17. use the pythagorean theorem to find the
figure.

van theorem to find the value of x in the
x + 8
x +1
x +9

x=4

Step-by-step explanation:

Pythagorean Theorem: a squared + b squared = c squared

In this case, a = x+1

b=x+8

c=x+9

So, (x+1) squared + (x+8) squared = (x+9) squared

(x+1) squared is x squared +2x+1

(x+8) squared = x squared +16x+64

(x+9) squared = x squared +18x+81

So, x squared +2x+1 +x squared +16x+64=x squared +18x+81

2x squared + 18x+65= x squared +18x+81

Subtracting x squared from both sides,

x squared +18x+65=18x+81

Subtracting 18x from both sides,

x squared +65=81

Subtracting 65 from both sides,

x squared = 16

The square root of x squared is x, and the square root of 16 is 4, so...

x=4

Hope this helps!

Sorry if it's confusing...

x+3y = 6

or, x = 6-3y(1)

3x+5y =6(2)

Substituting x = 6-3y in equation (2),

3 (6 - 3 y)+5 y =6

or, 18 - 9y +5y=6

or, y = 3

x = 6 - 3y = 6- 3.-3 = -3