The legs of a right triangle can be represented by x and (x+2). the hypotenuse is 10 centimeters. find the length of each leg

6 cm and 8 cm

Step-by-step explanation:

Use Pythagorean theorem:

c² = a² + b²

10² = x² + (x+2)²

100 = x² + x² + 4x + 4

0 = 2x² + 4x − 96

0 = x² + 2x − 48

0 = (x − 6) (x + 8)

x = 6 or -8

x must be positive, so x = 6.  Which means x+2 = 8.

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