Question

@dinamix

Answer 1

lol why u need a lot

Answer 2

Looking at both shapes, which side looks like it is similar to x+2?

Answer 3

8

Answer 4

@shaleiah i did understand its two shapes

Answer 5

i didnt

Answer 6

I guess are just assuming the shapes are similar :p

Answer 7

The shapes are similar.

Answer 8

@freckles yup that's right

Answer 9

oh okay
I didn't see that was given @dinamix

Answer 10

well if we are given they are similar we should see that the side with 15 and 10 are proportional and the sides with x+2 and 8 are proportional

Answer 11

so x=8 i think like what i said

Answer 12

\[\frac{15}{10}=\frac{x+2}{8}\]

Answer 13

i'm getting a different x value

Answer 14

Another helper told me this equation:
(x+2)/8 = 15/10
So, x would be 10

Answer 15

x=10 is what I'm also getting

Answer 16

yup this @freckles

Answer 17

i kept typing my fractions too fast

you can setup it like I did above
or you can do this...
use that one picture is directly proportional to the other picture
that means the sides that are proportional have the following equation
y=kx
where y is a side of the first shape and x is side of the other shape
where y and x are proportional to each other

so we know the side that has measurement 15 is proportional to the side that has measurement 10

this means we have
15=k10
we can solve for the constant of proportionality

by dividing both sides by 10
giving us k=15/10 or if reduced 3/2

so
we have
y=3/2*x

so we know the side that that has measurement a+2 is proportional to the side that has measurement 8
plug in

a+2=3/2 * 8

solve for a

a+2=3*4
a+2=12
a=10

I used a instead of x to not confuse the x I had above

Answer 18

Wow, thanks!

Answer 19

I don't know if you like that more
y=kx
I was using the y on the left hand side the represent a side of the larger looking image
and x on the right hand side to represent a side of the smaller looking image on the right hand side

Answer 20

The second method is much easier :)

Answer 21

interesting
I might use that explanation again since you thought it was helpful