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nika2105 [10]
3 years ago
9

If MQ = 9, NP = 27, and LQ = 15, calculate the length of LP. Assume ΔLMQ ~ ΔLNP. Image not set to scale.

Mathematics
2 answers:
Arturiano [62]3 years ago
6 0

Answer:

\huge \boxed{45}

Step-by-step explanation:

We can solve by using ratios since the triangles are congruent.

\displaystyle \sf \frac{MQ}{NP} =\frac{LQ}{LP}

Let the length of <em>LP</em> be x.

\displaystyle \frac{9}{27} =\frac{15}{x}

Cross multiply.

9x=15 \times 27

9x=405

Divide both sides by 9.

\displaystyle \frac{9x}{9} =\frac{405}{9}

x=45

Mrac [35]3 years ago
4 0

Answer:

LP = 45

Step-by-step explanation:

MQ/NP = LQ/LP

= 9/27

= 1/3

if LQ is 15 and is 1u, LP (3u) is 15 × 3 = 45

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