sabrinaseman sabrinaseman
  • 12-11-2020
  • Mathematics
contestada

Lines QS and NR intersect at P. Ray PM is perpendicular to line SQ.

What is the value of y?

Lines QS and NR intersect at P Ray PM is perpendicular to line SQ What is the value of y class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 17-11-2020

Answer:

A. 13

Step-by-step explanation:

[tex] (6y - 14) + 90 + (2y) = 180 [/tex] (angles on a straight line)

Solve for y

[tex] 6y - 14 + 90 + 2y = 180 [/tex]

Collect like terms

[tex] 6y + 2y - 14 + 90 = 180 [/tex]

[tex] 8y + 76 = 180 [/tex]

Subtract 76 to both sides

[tex] 8y + 76 - 76 = 180 - 76 [/tex]

[tex] 8y = 104 [/tex]

Divide both sides by 8

[tex] \frac{8y}{8} = \frac{104}{8} [/tex]

[tex] y = 13 [/tex]

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