Find the missing length indicated​

9514 1404 393

  x = 1500

Step-by-step explanation:

The right triangles are all similar, so the ratio of hypotenuse to short leg is the same for all.

  x/900 = (1600+900)/x

  x^2 = 900(2500) . . . . . . cross multiply

  x = 30(50) . . . . . . . . . . . take the square root

  x = 1500

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2