The foot of an extension ladder is 10 ft from a wall. the ladder is 2 ft longer than the height that it reaches on the wall. how far up the wall does the ladder reach

base: 10

height: x

diagonal: x + 2

base² + side² = diagonal²

  (10)² + (x)²  = (x + 2)²

    100 + x²  = x² + 4x + 4

          100  = 4x + 4

            96 = 4x

           24 = x

24 ft

i believe the answer is d.

hope it you! : d

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x