contestada

If UV = x + 13, VW = 15, and UW = 7x + 16, what is UW?
X+ 13
15
w
7x + 16
Simplify your answer and write it as a proper fraction, mixed number, or integer.
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Respuesta :

Answer:

UW = UV + VW

substitute:

[tex]7x + 16 = (x + 13) + (15) \\ 7x + 16 = x + 28 \\ 7x - x = 28 - 16 \\ 6x = 12 \\{ \underline{ \: \: x = 2 \: \: }}[/tex]

then find UW:

[tex]UW = 7x + 16 \\ = 7(2) + 16 \\ = 14 + 16 \\ \\ { \boxed{ \boxed{ \: \: UW = 30 \: \: }}}[/tex]

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