The triangles are similar. Find the value of x.

65

Step-by-step explanation:

If 2 shapes are similar then they have congruent angles. Since we already know the right angle is 90 degrees x must be 25 or 65 degrees. The missing angle is in between the shortest leg and the hypotenuse, in the other triangle, the angle between the shortest leg and hypotenuse is 65 degrees. So the final answer is 65.

use the distance formula

√ ((y2 - y1)² + (x2 - x1)²)

√ ((4-8)² + (4-5)²)

√ )² + (-1)²)

√ (16 + 1)

√ (17) = ~4.123 < answer

edit:

"additional details

what is the distance, in units, between (-5, 8) and (4, -4) in the coordinate plane? "

if you read my equation, you could have done it yourself. just replug in the numbers with negatives instead of positive in my previous answer.

√ -8)² + (4 - - 5)²)

√ )² + (9)²)

√ (144 + 81)

√ (225) = 15 < answer

step-by-step explanation: