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mel-nik [20]
3 years ago
7

Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589.

Mathematics
1 answer:
777dan777 [17]3 years ago
6 0

If two triangles are similar then the corresponding sides are in proportion. Thus,

AB / AU = BC / UV = AC / AV

AB / (20x+108) = 703 / 444

Where AB is equivalent to:

AB = AU + UB

AB = 20x + 108 + 273

AB = 20x + 381

Therefore going back to the first equation:

(20x + 381) / (20x + 108) = 703/444

444 (20x + 381) = 703 (20x + 108)

8880x + 169164 = 14060x + 75924

14060x - 8880x = 169164 – 75924

5180 x = 93240

x = 93240 / 5180

<span>x = 18          (ANSWER)</span>

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What category does -1/3 belong in? (Select all that apply) Rational Number Rational Number Integer Number Integer Number Natural
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Step-by-step explanation:

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3 years ago
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total
dimulka [17.4K]
You can set up a system of equations for this problem. x= number of coach tickets and y = number of first class tickets.

$210x + $1200y = $10,230 (cost of coach ticket plus cost of first class tickets is total budget)

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Solve the second equation for y to get y = 11 - x, then plug that into the first equation and solve for x:

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6 0
3 years ago
Is 2/3 equal to 1/4?
MrMuchimi

Answer:

No

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6 0
3 years ago
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