The answer to your Question is 8/10 but if you simplify it the answer is 4/5.
Answer:
x = 12
Step-by-step explanation:
We have a right triangle with hypotenuse 10 and the height 8. Either the one on the left or the one on the right
We can find the base using the Pythagorean theorem
a^2 + b^2 = c^2
a^2 +8^2 = 10^2
a^2 +64 = 100
Subtract 64 from each side
a^2 = 100 -64
a^2 = 36
Take the square root of each side
a = 6
Now a is 1/2 of the total base of the big triangle. It is identical since the triangles are equal
x = 2 * a
x = 2*6 = 12
Step 4 is wrong. the answer is 1/8, she changed sign on 2^(-3) to 2^(3) without moving it to numerator
-4x +12 -12 = -4 -12
-4x = -16
x = 4
