Question

Can someone help me I'm stumped! O_O

Answer 1

I can't figure it out :/

Answer 2

this problem involves two geometric figures (triangles) which are similar. What does "similar" mean in geometry?

We use ratios to solve this problem.

Look at the diagram. Let's call the bottom side of the diagram the "base." The two different triangles here have two different bases. What are the lengths of these bases?

Answer 3

3ft, and 6ft is 9ft base

Answer 4

Let's re-phrase that. The length of the base of the smaller triangle is ... ?

The length of the base of the larger triangle is ... ?

Answer 5

Oh the smaller triangle is 3, and the larger is 3+6

Answer 6

The base of the larger triangle is indeed 3+6, or 9. But check your work: How could the base of the smaller triangle be 3?

Answer 7

Sorry its 6

Answer 8

That's better.

Now form the ratio of the smaller base to the larger base:\[\frac{ smaller }{ larger }=\frac{ ? }{ ? }\]

Answer 9

6/9 = 7.5/x ?

Answer 10

\[\frac{ 6 }{ 9 }=\frac{ 7.5 }{ x }\]

Answer 11

Okay x=11.5 and since it isn't a whole number 67.5/6 simplified to 22.5/2

Answer 12

Did I get it right????

Answer 13

Hello??????????????????

Answer 14

@mathmale are you there?

Answer 15

I guess I'll just go with it ..............

Answer 16

To check, please determine whether 7.5/11.5 simplifies to 6/9. If it does, then your result is correct. Sorry for the delay in responding!

Answer 17

\[\frac{ 6 }{ 9 }=\frac{ 7.5 }{ x }\]

Answer 18

I'd cross-multiply: 6x = (9)(7.5) = 67.5

and then divide both sides of this equation by 6 to obtain x. x = ?

Answer 19

Check all results by substitution: Let x = 11.5 first, and then x = 11.25 second. Which satisfies the equation of ratios?