Question

Use the diagram below to solve for x. If necessary, round your answer to two decimal places.
(Picture attached below)

Answer 1

\[48/18=8/x\]

Answer 2

solve for x

Answer 3

Since the triangles are proportionate, you could use ratios to find x.

Answer 4

\[\therefore x=3\]

Answer 5

Sorry or the late reply! I'm not good at this but how do you get 3?

Answer 6

Nope, that's not the answer. And the reason is corresponding sides in similar triangles. Not being proportionate to each other.

Answer 7

That is the answer, but the reasoning of it is not proportionate.

Answer 8

Proportionate means in the same ratio.

Answer 9

oh, my bad!

Answer 10

18/3 isn't in the same ratio of 48/8

Answer 11

You prove that the triangles are similar due to two angles being equal to each other. That means the two triangles are similar due to being equiangular.

Answer 12

I may have missed that chapter...or I don't remember it correctly.
SORRY FOR ANY CONFUSION!!!

Answer 13

Then once you proved that the triangles are similar, you then write that
\[\frac{48}{8}=\frac{18}{x}\]since they are corresponding sides in similar triangles.

Answer 14

I get what your saying and yeah Azteck is right about that i was looking back at my notes! Idk i got 5 lol but the answer is 3 looks like i need a little more practice but thanks for the help much appreciated!!!

Answer 15

No worries mate.

Answer 16

@Azteck "18/3 isn't in the same ratio of 48/8"

wait... what? Maybe i'm interpreting this wrong, but are you saying 18:3 is not the same ratio as 48:8? They're both 6:1.

Answer 17

@Krispyhaha If you call the angle in the diagram x, then:

sinx = 18/48
sinx = x/8

Which is where the 18/48 = x/8 comes from.