Question

What is the value of x, given that PQ is parallel to BC?

Answer 1

@Nurali

Answer 2

@Emily778 do you know what is Thales Theorem???

Answer 3

NO

Answer 4

@jim_thompson5910

Answer 5

thales theorem states that \[\huge \frac{AP}{PB}=\frac{AQ}{QC}\]

Answer 6

where AP=8,PB=32,AQ=x and QC=36.

Answer 7

the two triangles are similar, so you can say

8/(32+8) = x/(36+x)

solve for x

Answer 8

can you solve it @Emily778

Answer 9

8 x 32?

Answer 10

\[\huge \frac{8}{32}=\frac{x}{36}\]
Can you solve for x???

Answer 11

.25

Answer 12

or..Do I cross multiply?

Answer 13

yeah!!

Answer 14

8/(32+8) = x/(36+x)

8/40 = x/(36+x)

8(36+x) = 40x

...
...
...

x = ??

Answer 15

288

Answer 16

what x=288????

Answer 17

x=18?

Answer 18

no, wrong

Answer 19

9?

Answer 20

correct

Answer 21

left side you see, 8 is 4 times lees than 32
so right side, 9 has to 4 times less than 36.

9 works.