Question

In the diagram below, EF is parallel to BC. Solve for x. Round your answer to the nearest tenth if necessary

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Answer 1

I think it is 17.8, But I am not certain.

I hope this helps.

BTW: EF is parallel to BC

Answer 2

x = 12.4

Explanation:

As EF is parallel to BC, we can calculate the value of x by using the Side Splitter Theorem.

Similar Triangles - Side Splitter Theorem

If a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.

Therefore:

`\implies (DF)/(FC)=(DE)/(EB)`

`\implies (x)/(7.5)=(15.6)/(9.4)`

`\implies x=(15.6)/(9.4) \cdot 7.5`

`\implies x=12.4468085...`

`\implies x=12.4\; \rm(nearest\;tenth)`

Therefore, the value of x is 12.4 to the nearest tenth.