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gogolik [260]
3 years ago
14

AC, DF, and GI are parallel. Use the figure to complete the proportion. (7)

Mathematics
2 answers:
hoa [83]3 years ago
6 0

Answer:

Option C

Step-by-step explanation:

We have to find the value in the blank space

We are given that AC,DF and GI are parallel

We know that by middle splitting theorem

We have

\frac{JD}{AD}=\frac{JE}{BE}

Because AC is parallel to DF and A and B are the mid points of JD and JE

\frac{JD}{GD}=\frac{JE}{EH}

Because DF is parallel to GI

Divide  equation one by equation second then we get

\frac{GD}{AD}=\frac{EH}{BE}

Adding one on both sides then we get

\frac{GD}{AD}+1=\frac{BE}{EH}+1

\frac{GD+AD}{AD}=\frac{BE+EH}{BE}

\frac{AG}{AD}=\frac{BH}{BE}

Because BE+EH=BH and AD+GD=AG

Reciprocal on both sides then we get

\frac{AD}{AG}=\frac{BE}{BH}

Hence, option C is true.

Usimov [2.4K]3 years ago
3 0

Answer:

The answer is

C.) BE

AD/AG=BE/BH

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