It's going to be kind of crazy, but you need to use Pythagorean's Theorem for this. That will look like this:

. FOIL out the left side to get

. FOIL out the first of the 2 expressions on the right to get

, and the second of the 2 to get 4x. Our equation now looks like this:

. Combine like terms to get an equation that still has square roots in it that we have to deal with:

and

. We will square both sides to get rid of the square root sign.

. This is a polynomial now that can be factored to solve for x. Bring the 2x over by subtraction and set the polynomial equal to 0.

. Factor out an x, leaving us with x(x-2)=0. That means that x = 0 or x - 2 = 0 and x = 2. Of course if we are solving for the length of a side we know it can't have a side length of 0, so it must have a side length that is a multiple of 2. x = 2
Answer:
b = 104
Step-by-step explanation:
Slope is expressed as;
m = y2-y1/x2-x1
14 = b - 6/5-(-2)
14 = b - 6/5+2
14 = b-6/7
Cross multiply
b-6 = 14 * 7
b - 6 = 98
b = 98 + 6
b = 104
Answer:
x=13
Step-by-step explanation:
since they are vertical angles, they equal each other so set both angles to have them equal each other to find x

Add 12 on both sides

Subtract tax from both sides

Divide by 2 for both sides

Answer:
The height of the jumping hill x = 189.3 m
Step-by-step explanation:
From Δ ABC
AB = x = height of the hill
∠A = 36° , ∠B = 90°
Thus ∠C = 180 - ∠A - ∠B
⇒ ∠C = 180 - 36 - 90
⇒ ∠C = 54°
From Δ ABC


x = 0.809 × 234
x = 189.3 m
This is the height of the jumping hill.