school1cheater
school1cheater school1cheater
  • 12-01-2024
  • Mathematics
contestada

. Find the value of x and y.
(7x-8)* 1
090
(10y +22)
(13x - 32)
(7y)"

Find the value of x and y 7x8 1 090 10y 22 13x 32 7y class=

Respuesta :

jimrgrant1 jimrgrant1
  • 12-01-2024

Answer:

x = 11 , y = 4

Step-by-step explanation:

(7x - 8)° and (13x - 32)° are a linear pair and sum to 180° , that is

7x - 8 + 13x - 32 = 180 ( simplify left side )

20x - 40 = 180 ( add 40 to both sides )

20x = 220 ( divide both sides by 20 )

x = 11

Also

(10y + 22)° and (7y)° form a right angle , 90° , then

10y + 22 + 7y = 90

17y + 22 = 90 ( subtract 22 from both sides )

17y = 68 ( divide both sides by 17 )

y = 4

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