Question

Suppose B is the midpoint of AC. AB = 5x and BC = 3x + 4. Find AB. (Hint: Make a sketch and write an equation to solve.)

Answer 1

If B is the midpoint, then B cuts AC in half

this gives two equal pieces AB and BC

Answer 2

So

AB = BC

and

5x = 3x+4

Answer 3

Solve for x. Then use this to find AB

Answer 4

Thank you very much.

Answer 5

np

Answer 6

So, x is 2 and so it would be (5)2 = 10, right?

Answer 7

perfect

Answer 8

you got it

Answer 9

Cool. Thanks again.

Answer 10

np

Answer 11

I need help one more time. If the length of DE is one-half that of EF minus 35, what is the best representation of the length of DE?

Answer 12

If the length of DE is one-half that of EF minus 35

translates to

\[\Large DE = \frac{1}{2}EF - 35\]

Answer 13

K. Thanks once again.