Question

Can someone please help me with questions 13 and 14?

Answer 1

Answer:   #13 is 26,  #14 is 18

Step-by-step explanation:

13.

The whole line has length $8x - 20$, and $AB = BC = 3x - 1$. Thus

$(3x -1) + (3x-1)=8x-20\\6x - 2 = 8x - 20\\18 = 2x\\x = 9$

Now we plug this into $3x - 1$ (since this is the length of BC) to get

$3(9) - 1 = \boxed{26}$.

14.

We can use the fact that CG = GD, so $5x - 1 = 7x - 13$ and thus $x = 6$.

We know $EG = EF - GF$, so

$EG = (6x - 4) - 13 = (6 \cdot 6 - 4) - 14 = \boxed{18}.$