ekbat ekbat
  • 23-09-2020
  • Mathematics
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if L|| m, find the value of the missing variables. MUST SHOW WORK TO GET CREDIT!!

if L m find the value of the missing variables MUST SHOW WORK TO GET CREDIT class=

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sqdancefan
sqdancefan sqdancefan
  • 23-09-2020

Answer:

  • x = 17
  • y = 9

Step-by-step explanation:

The two angles marked with expressions in x are alternate interior angles, so are congruent.

  3x -4 = 5x -38

  34 = 2x . . . . . . . . add 38-3x

  17 = x . . . . . . . . . . divide by 2

__

The two marked angles interior to the right triangle are complementary.

  (7y -20) +(5·17 -38) = 90

  7y = 63 . . . . . . . . . . . . . . . subtract 27

  y = 9 . . . . . . . . . . . . . . . . . divide by 7

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