Question

Please help!!! Its an emergency

Answer 1

Answer:

x=10

Step-by-step explanation:

The middle triangle has d as the hypotenuse and is an isosceles right triangle. The sides of such a triangle are in the ratio of y, y, and $\sqrt{2}y$.

For this triangle

$\sqrt{2}y=5\sqrt{2}$

so y=5.

Tthe triangle on the right is a 30, 60, 90 triangle with sides in the ratio of

y, $\sqrt{3}y$, and 2y.  So

2y=x=10    

Answer 2

Answer: A

Step-by-step explanation:

The line 'd' separates the square into two triangles. Since the side lengths are equal, the angle is 45°. We need the line separating the two 90° angles, that I am going to define as 'z'. We can use the sine function.

$\sin(45)=\frac{z}{5\sqrt{2} }$

z = 5

To solve for x, we can use sine again but for the 30 degree angle.

$\sin(30)=\frac{5}{x} \\x=10$