I’ve been stuck on question 1 for a while, can you guys ?

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**The picture is not accurate for this problem.

Step-by-step explanation:

I would use Pythagorean Theorem to setup two equations since there are two triangles with no angle information.

Let where is equal to the first partition of (reading from left to right) and is equal to the second partition of (reading from left to right).

We have the following system to solve:

I will use elimination to first solve for .

Subtract the equations:

Factor both sides using :

Simplify inside the .

Divide both sides by 9:

Divide both sides by 11:

Simplify both sides:

Add 99 on both sides:

Divide both sides by 2:

Now go to either equation we had in the beginning to find .

with

21

step-by-step explanation:

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x