Question

FOR 15 PTS! I RLLY NEED HELP! never seen this stuff in my life. What is the value of x, given that PQ || BC? picture included.

Answer 1

AP / PB = AQ / QC

8 / x = 12 / 18

8 / x = 6 × 2 / 6 × 3

8 / x = 2 / 3

Inverse both sides :

x / 8 = 3 / 2

Multiply both sides by 8

8 × x / 8 = 8 × 3 / 2

x = 2 × 4 × 3 / 2

x = 4 × 3

x = 12

Answer 2

`\\ \sf\longmapsto (8)/(x)=(12)/(18)`

`\\ \sf\longmapsto 12x=18(8)`

`\\ \sf\longmapsto 12x=144`

`\\ \sf\longmapsto x=(144)/(12)`

`\\ \sf\longmapsto x=12`