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Svet_ta [14]
3 years ago
6

What is the length of x? What is the length of EF? Only enter numbers in the answer boxes below:

Mathematics
1 answer:
dimaraw [331]3 years ago
7 0

Focus on triangles DFC and DFE:

  • They are both right triangles because DF is perpendicular to EC
  • DC=DE
  • DF is a common side

So, the two triangles are congruent. It follows that CF=FE, and in particular

8x=3x+15 \iff 5x=15 \iff x=3

And since x=3, the length of EF is

EF=3x+15=3\cdot 3+15=24

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