Question

7.

a. If AB = 5y - 4, BD = 7y + 3 and AD = 20y - 9, find the value of y.

b. Use the value of y, to find AB, BD and AD.

8.
Use the figure below to answer questions 8-10. Point B is the midpoint of Segment A C.. A

a. Find x if AB = 4x and BC = 2x + 10.

b. Use the answer for x to find the values of AB and BC.

9.
a. Find x if AC = 3x - 1 and BC = 12 - x.

b. Use the answer for x to find the value of AB.

10.
a. Is it possible for AB = 10, BC = 2x + 5 and AC = 5x, given that point B is the midpoint?

b. Why or why not?

Answer 1

7. y = 1, AB = 1, BD = 10 and AD = 11

8. x = 5, AB = 20 and BC = 20

9. x= 5 and AB = 33

10. No, because AC = 12.5 while AB + BC = 20 (they should equal the same and they don't.)