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LuckyWell [14K]
3 years ago
15

AABC is similar to AAXY by a ratio of 4:3. If BC = 24, what is the length of XY?

Mathematics
1 answer:
Alenkasestr [34]3 years ago
7 0

Answer:

OXY=18

Step-by-step explanation:

The ratio of AABC to AAXY is 4:3 so the lengths will be in that ratio too. The ratio of BC:XY is 4:3. BC is 24 so 24:XY is 4:3. You need to divide 24 by 6 to get 4 so multiply 3 by 6 to get the answer 18.

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Solve completely (all missing sides and all missing angles) using trig ratios or laws. Round to the nearest tenth.
hodyreva [135]

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Step-by-step explanation:

3. Use Cosine law to find the  length of the unknown side (PR)

q² = p² +  r² - 2prCos Q

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r is the opposite sides of ∠R ; r = 67

q² = 33² + 67² -  2* 33*67 Cos 19°

    = 1089 + 4489 - 4422 * 0.95

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    = 1377.1

q = √1377.1

q = 37.1

PR = 37.1

To find the angle use law of sin

\sf \dfrac{q}{Sin \ Q} =\dfrac{p}{Sin \ P}\\\\\\\dfrac{37.1}{Sin \ 19}=\dfrac{33}{Sin \ P} \\\\\\\dfrac{37.1}{0.33}=\dfrac{33}{Sin \ P}\\\\\\37.1* Sin \ P = 33 *0.33\\\\Sin \ P =\dfrac{33*0.33}{37.1}

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2 years ago
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