How do you solve this?
The plan shows part of a roof on a house. A horizontal beam parallel to the base of the roof connects the roof and the central pillar. What is the unknown measurement on the plan?
http://www.clipular.com/c/5193058980200448.png?k=w4SPOFD6juQAXGqjh1HwH8E9_zE

- anonymous

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- anonymous

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- anonymous

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- anonymous

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## More answers

- anonymous

@sleepyhead314

- anonymous

Thank You so FLIPPING much

- sleepyhead314

We are given two similar triangles :)
One of the triangles has sides 14 and 8
the other triangle has sides (? + 14) and (8 + 15)
do you see what I mean? :)

- sleepyhead314

btw Welcome to OpenStudy ;)
sorry that you weren't getting help fast enough .-.

- anonymous

Do I have to subtract the 8 and the 5 to get the (?)
And thanks, and its fine lol

- sleepyhead314

One of the triangles has sides 14 and 8
the other triangle has sides (? + 14) and (8 + 15)
With these two pieces of information, we can make a ratio thing
14 8
------------- = ---------------
(? + 14) (8 + 15)

- sleepyhead314

sorry, gimma a sec, I'm not sure that was right

- anonymous

Your good. At least your helping :)

- sleepyhead314

it's right, there had been just another way to right it and I got confused xD
so
14 8
------------- = ---------------
(? + 14) (8 + 15)
can you cross multiply and solve for the "?" :)

- anonymous

Woa, This is confusing. Sorry I'm a slowpoke. I'll figure it out. Thank you for your help :)

- sleepyhead314

No worries ^_^
cross multiplying really is confusing at times :P (I finally figured it out like 3 years after I was supposed to have learned it xD)
would you like for me to help break it down more for you? :)

- anonymous

Haha. Thank you so much. Your very helpful and comforting. But yes that would be great

- sleepyhead314

here's how I learned it
Have you seen
1
--- x 2 = 1
2
happen before?

- anonymous

Yeah I see it

- sleepyhead314

it is the same idea :)
14 8
------------- = ---------------
(? + 14) (8 + 15)
we would multiply both sides by (? + 14) first
and get
14 8*(? + 14)
---------- = --------------
(1) (8 + 15)
it would cancel out the Denominator on the Left side
and stay in the Numerator on the Right side

- anonymous

So for the earlier equation its 112 and 322?

- sleepyhead314

you got it :)
322 = 8*? + 112

- anonymous

So the answer to the question is that? ._.

- sleepyhead314

not quite xD
322 = 8x + 112
let's use the variable "x"?
does that look familiar? can you solve for "x"?

- anonymous

x = 1 and 1 times 8 is 8?

- sleepyhead314

hmm?

- sleepyhead314

322 = 8x + 112
-112 -112 subtract 112 from both sides to get "8x" alone
-------------------------
210 = 8x

- anonymous

Oh okay :D

- sleepyhead314

then divide both sides by 8
to get "x" alone
210 = 8x
------ ----
8 8

- anonymous

26.25 and the 8 gets cancelled out?

- sleepyhead314

exactly :)

- anonymous

Wow :) Thank You so much. You tha realest dawg. Heres some DAP.... Boom!

- sleepyhead314

I'm happy I could help :)

- anonymous

Yes. When no-one else was there you woke up and showed me the way.
Your my mathematical savior.
Theres a special pace for people like you in heaven.

- sleepyhead314

"woke up" punny considering my name xD lol

- sleepyhead314

I will be on and off throughout the rest of the day, if you need any more help, just tag me ^_^

- anonymous

Thank You sooooo much!

- anonymous

Have a great day :)

- sleepyhead314

you too :)

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