Question

can someone please solve this? I clicked on homework help and it wasn't much help. I'm trying to turn in as much missing assignments as I can before school ends on Thursday. Thank you!

Answer 1

Answer:

• One proportion to solve is 8/18 = x/8
• Exact answer as a fraction: x = 32/9
• Approximate answer in decimal form: x = 3.556

In reality, the 5's go on forever, but we have to round off somewhere.

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Explanation:

Break up the triangles as your teacher recommends. See the diagram below as to what I mean.

The smaller triangle has A = 8 as the horizontal side, and B = x as the vertical side

The larger triangle has C = 10+8 = 18 as the horizontal aside, and D = 8 as the vertical side.

We can form the proportion A/C = B/D.

A/C connects the horizontal sides (small/large) while B/D has the vertical sides tied together. The order of division is the same small over large. You could do large over small, but make sure you keep both sides consistent.

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Let's solve for x

A/C = B/D

8/18 = x/8

8*8 = 18*x .... cross multiply

64 = 18x

18x = 64

x = 64/18 .... divide both sides by 18

x = 32/9  exactly in fraction form

x = 3.556 approximately in decimal form

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Another proportion you can solve is A/B = C/D and you should get the same x value. It's the same as A/C = B/D because the B and C swap places. There are many other approaches you could take using different proportions.

Answer 2

They are similar triangles. Meaning they are the same triangle just different sizes(smaller version of the big one) That means all the proportions are the same so to figure out x you would put it in proportion that would look like x/8= 8/18 (8+10)and you would cross multiply to solve it. So x would equal 3.5 or 32/9