lockshernostaw
lockshernostaw lockshernostaw
  • 23-01-2018
  • Mathematics
contestada

Will give brainliest !!

What is the value of X?

Will give brainliest What is the value of X class=

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jcherry99
jcherry99 jcherry99
  • 28-02-2019

Answer:

x = 145.5

Step-by-step explanation:

<DCE = <ACB   The two angles are equal because they are vertically opposite.

D and B are right angles.

By AA the two triangles are similar.

Therefore DE / DC = AB / BC       Proportion which is a property of similar triangles.

DE = 32         Given

DC = 22        Given

CB = 100      Given

Therefore

32/22 = x/100     Cross multiply

32*100 = 22*x     Multiply the left

3200 = 22x         Divide by 22

3200/22 = x

x = 145.5

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