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OleMash [197]
3 years ago
10

Using the diagram below, find x.

Mathematics
1 answer:
Alona [7]3 years ago
6 0

Answer:

x=28

Step-by-step explanation:

we~know~ that~ all~ the~ angles ~in ~a ~triangle ~all~add ~up ~to ~180° That ~means: x + ( 2x + 5 ) + ( 3x + 7 ) = 180.~Since~ addition~ is~ associative,\\~x + ( 2x + 5 ) + ( 3x + 7 ) = 180~ is ~the~ same ~as~ x + 2x + 5 + 3x + 7 = 180.

Combining~ like~ terms,~ we ~get: 6x + 12 = 180.

After~ we ~move~ 12~ to~ the~ other~ side~ so ~the~ x~ is~ iscolated,~ we~ get:\\\ 6x = 168.\\

Dividing~ each~ side~ by~ 6 ~gets~ us ~to~: x = 28, ~so ~the~ answer~ to~ this~ question~ is D.\\

Hope~this~helps!~Have~a~blessed~day~ahead!

-Isabelle~Williams

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Substituting given values, we get:

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