If ef bisects cd cg = 5x-1 gd= 7x-13 ef= 6x-4 and gf=13 find eg

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

answer is 144

step-by-step explanation:

answer is the third choice:

3x^5+4x^4+x^3+2x^2-10x-7=0

step-by-step explanation: