jqhubbard jqhubbard
  • 14-08-2021
  • Mathematics
contestada

S...
Find the length of UT.
12
T
14
W
2x+2
2x + 5
V
A. 32
B. 43
O o
C. 21
D. 39

S Find the length of UT 12 T 14 W 2x2 2x 5 V A 32 B 43 O o C 21 D 39 class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 16-08-2021

9514 1404 393

Answer:

  A. 32

Step-by-step explanation:

The relationship between segment lengths is ...

  WT·WU = WC·WV

  14(2x +2) = 12(2x +5)

  28x +28 = 24x +60

  4x = 32

  2x = 16

Then the measure we're after is ...

  UT = WT +WU = 14 +(16 +2)

  UT = 32

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