Question

If UV = x + 13, VW = 15, and UW = 7x + 16, what is UW?

Answer 1

Answer:

UW = UV + VW

substitute:

$7x + 16 = (x + 13) + (15) \\ 7x + 16 = x + 28 \\ 7x - x = 28 - 16 \\ 6x = 12 \\{ \underline{ \: \: x = 2 \: \: }}$

then find UW:

$UW = 7x + 16 \\ = 7(2) + 16 \\ = 14 + 16 \\ \\ { \boxed{ \boxed{ \: \: UW = 30 \: \: }}}$