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The triangles below are congruent, with △ABC ≅ △DEF. The following lengths are given in centimeters: AB= x + 1, AC= x, BC= x + 2, and DF= 3x − 8. What is the value of x?

The triangles below are congruent, with △ABC ≅ △DEF. The following lengths are given in centimeters: AB= x + 1, AC= x, BC= x + 2, and DF= 3x − 8. What is the value of x?
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4 votes
The triangles below are congruent, with △ABC ≅ △DEF. The following lengths are given in centimeters:

AB= x + 1,
AC= x,
BC= x + 2, and
DF= 3x − 8. What is the value of x?

The triangles below are congruent, with △ABC ≅ △DEF. The following lengths are given-example-1
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User Achala Dissanayake
by
7.7k points

1 Answer

4 votes
Assuming AB=DE, AC=DF, BC=EF, then AC=x=DF=3x-8, 2x=8 so x=4 cm.
answered
User Gatti
by
7.4k points
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