Find the value of x on both problems please help this is urgent and please show work

Step-by-step explanation:

1) the triangle is right, so we can use the Pythagorean theorem

x^2 + 24^2 = (16+x)^2

x^2 + 576 = x^2 + 256 + 32x

32x = 320

x = 10

2) the two segment are congruent, so

7x - 13 = 9x - 23

2x = 10

x = 5