Question

Please help!!!
Its an emergency

Answer 1

x=10

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
`√(2)y`.

For this triangle

`√(2)y=5√(2)`

so y=5.

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

y,
`√(3)y`, and 2y. So

2y=x=10

Answer 2

Answer: A

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)=(z)/(5√(2) )`

z = 5

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

`\sin(30)=(5)/(x) \\x=10`