Can someone please answer number 11 for me?

  a) x = 9

  b) m∠BCD = 33°

  c) use the fact that corresponding angles are congruent

Step-by-step explanation:

a) Corresponding angle have the same measure, so ...

  3x +6 = x +24

  2x = 18 . . . . . . . . . . subtract (x+6) from both sides

  x = 9 . . . . . . . . . . . . divide by 2

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b) 3x+6 = 3(9) +6 = 27 +6 = 33 = m∠BCD

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c) Use the relationship between corresponding angles. Solve the resulting equation.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,