What is the length of side BC of the triangle?

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sqdancefan sqdancefan · Answer 1 · 2019-12-05T01:58:20+01:00

Answer:

[tex]\overline{\text{BC}}=\boxed{28}[/tex]

Step-by-step explanation:

The marked angles are congruent, so their opposite sides are congruent.

2x +7 = 4x -7

14 = 2x . . . . . . . add 7-2x

28 = 4x . . . . . . multiply by 2 to find 4x

The length of BC is 28.

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cg2826 cg2826 · Answer 2 · 2022-01-03T07:55:50+01:00

Answer:

The length of side BC= 28 degrees

Step-by-step explanation:

1) first you must notice that <ACB and <ABC are marked as congruent, this means that their opposite sides are also congruent, so AB=AC

2) Set the sides of the triangle equal to each other

2x+7 = 4x - 7

Subtract 7 from both sides: 2x = 4x -14

subtract 4x from both sides: 2x-4x = -14 combine: -2x= -14

Divide both sides by -2 to solve for x : -2x/-2 = -14/-2

x = 7

Now plug the x value into side BC (4X)

4(7)= 28 The length of side BC =28 degrees