Unit 1 geometry basics homework 4 angle addition postulate answers

Asked by maham237 @ 19/05/2021 in Mathematics viewed by 3928 People

Answered by maham237 @ 19/05/2021

Answer:

EF = 58

Step-by-step explanation:

Find the diagram of the question attached.

According to the addition postulate;

DE+EF = DF

Given

DE = 47

EF = 3x+10

DF = 9x-39

Substitute into the addition postulate formula and get x

47+3x+10= 9x-39

Collect like terms

3x-9x = -39-10-47

-6x = -96

x = -96/-6

x = 16

Next is to evaluate EF:

EF = 3x+10

EF = 3(16)+10

EF = 48+10

EF = 58

Hence the measure of EF is 58

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