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elena55 [62]
2 years ago
13

Pleaseeee helpppp !!!!!!! Mark Brianliest !!!!!!!!!!!!!!!!

Mathematics
1 answer:
andriy [413]2 years ago
3 0

Answer:

LP = 18

Step-by-step explanation:

Given that,

In ΔLPN,

LQ = 6, LM = 11 and MN = 22

We need to find the length of LP.

As QM ║PN, let QP = x

\dfrac{LQ}{LP}=\dfrac{LM}{LN}\\\\\dfrac{6}{6+x}=\dfrac{11}{11+22}\\\\\dfrac{6}{6+x}=\dfrac{11}{33}\\\\198=66+11x\\\\198-66=11x\\\\132=11x\\\\x=12

LP = 6+x

= 6+ 12

= 18

Hence, the length of LP is 18.

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Hey can you please help me with 8 and 10 :)
insens350 [35]
8) So remember the sum of all angles inside a triangle is equal to 180°. We first want to figure out the angle below the 110°.

A straight line is 180° so if we do 180 - 110 we get 70° therefore the angle below the 110° is 70°.

So we now know two angles in the triangle, 70° and 80°. Add these and we get 150°. Now we can determine the final angle (the one labelled (2x - 6)) which will be 30°.

So let’s make it into an equation:

2x - 6 = 30

Add 6 to both sides to isolate 2x:

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Divide by 2 to get the value of x:

x = 18



10) Since the sum of all angles in a triangle is 180, and there are only 3 angles, we can determine A easily.

B = 10°
C = 160°

So to determine A:

180 - 160 - 10

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Therefore A = 10°.


So the answers:

8) x = 18
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I hope this helps you!!
4 0
2 years ago
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olya-2409 [2.1K]

Answer:

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Step-by-step explanation:

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