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AnnyKZ [126]
2 years ago
7

In the diagram below FG is parallel to CD. EF=6.9, FC=6.4, And GD= 5.1. Find the length of EF. Round your answer to the nearest

10th if necessary.

Mathematics
1 answer:
Artist 52 [7]2 years ago
6 0

The length of EF which lie on line EC is 8.66 units.

<h3>What is parallel lines?</h3>

Parallel lines are the lines that do not intersect or meet each other at any point in a plane. They are always parallel and are at equidistant from each other. Parallel lines are non-intersecting lines.

Here,    EG = 6.9 ,        FC = 6.4,           GD = 5.1

Also. FG || CD

By Basic Proportionality Theorem,

               \frac{EF}{FC} = \frac{EG}{GD}

               EF = \frac{EG . FC}{GD}

               EF =  (6.9 X 6.4) / 5.1

               EF = 8.66 units

Thus, The length of EF which lie on line EC is 8.66 units.

Learn more about Parallel Lines from:

brainly.com/question/16701300

#SPJ1

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