Question

In the figure, △ACB ~ △FED, Line segment FH is congruent to line segment HD., and Line segment AG is congruent to line segment GB.. Solve for x.

Triangle ABC with G on AB. CG bisects AB. CG measures 9. BC measures 4x minus 3. Triangle DEF with H on DF. EH bisects DF. EH measures 4. DE measures x.

x = 15 over 27

x = 15 over 7

x = 27 over 32

x = 36 over 7

Answer 1

Use ratios.

Answer 2

4x=9(4x-3)
4x=36x-27
27=32x

x=27/32

3rd is righ