The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation

and solve it for x: subtract 13x from both sides to get

and add 2 to both sides to get

Check: if we plug the value we found we have

So the angles are actually the same, as requested.
Hi. You have to do trial and error with each of the choices to see which of those apply. They are points on the given function y=22x+32 that lie on point (x,y). Just substitute the x-and y values to the function.
a. (10,480) => x = 10, y = 480
y = 480 = 22(10) + 32
480 = 252 (does not apply)
b. (5,142) => x = 5, y = 142
y = 142= 22(5) + 32
142 = 142 (apply)
c. (8,208) => x = 8, y = 208
y = 208 = 22(8) + 32
208 = 208 (apply)
d. (7,154) => x = 7, y = 154
y = 154 = 22(7) + 32
154 = 186 (does not apply)
The answer is B and C.
Answer:
The numerator factors to

The denomenator factors to

Sets of three integers that could be right triangles are called pythagorean triples. the only pythagorean triple including 7 is 7, 24, and 25. so the length of the other leg is 24 and the length of the hypotenuse is 25. hope this helped!