In the accompanying diagram of a parallelogram ABCD ,DC= 5x-18, BC=3x-6, AB=2x+12 find measure BC. Please help

BC = 39

Step-by-step explanation:

Given:

DC = 5x - 18,

BC = 3x - 6,

AB = 2x + 12

Opposite sides of a parallelogram are equal.

Therefore:

AB = DC

2x + 12 = 5x - 18

Collect like terms

12 + 18 = 5x - 3x

30 = 2x

Divide both sides by 2

15 = x

x = 15

BC = 3x - 6

Plug in the value of x

BC = 3(15) - 6 = 45 - 6

BC = 39

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