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sergeinik [125]
3 years ago
5

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

Mathematics
1 answer:
marusya05 [52]3 years ago
4 0

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 \:  \: }}}

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