Respuesta :
The correct answer is:
The measure of eg is 19.
Explanation:
We know that cd is bisected by ef. This means that the distance from c to ef is the same as the distance from d to ef.
The segment cg forms a triangle the same size as the triangle formed by segment dg. The triangles are congruent, so this means that cg is congruent to dg; this gives us the equation
5x-1 = 7x-13
Subtracting 5x from each side,
5x-1-5x = 7x-13-5x
-1 = 2x-13
Add 13 to each side:
-1+13 = 2x-13+13
12 = 2x
Divide both sides by 2:
12/2 = 2x/2
6 = x
This means that ef = 6x-4 = 6(6)-4 = 36-4 = 32
We know that ef is made of eg and gf; this gives us
ef = eg + gf
32 = eg + 13
Subtract 13 from each side:
32 - 13 = eg+13 - 13
19 = eg
The eg is 19.
- The calculation is as follows:
5x-1 = 7x-13
Subtracting 5x from each side,
5x-1-5x = 7x-13-5x
-1 = 2x-13
Add 13 to each side:
-1+13 = 2x-13+13
12 = 2x
Now Divide both sides by 2:
6 = x
This means that
ef = 6x-4
= 6(6)-4
= 36-4
= 32
We know that ef is made of eg and gf so
ef = eg + gf
32 = eg + 13
Subtract 13 from each side:
32 - 13 = eg+13 - 13
19 = eg
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