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3 years ago

Examine the lines that are cut by transversals to determine the measure of angle 1.

Mathematics

2 answers:

LekaFEV [45]3 years ago

7 0

Answer:

1) 48

C) It corresponds to the 48-degree angle

Step-by-step explanation:

k║l

1) <1 = 48

because corresponding angles are equal

Why?

C) It corresponds to the 48-degree angle

kifflom [539]3 years ago

4 0

Answer:

1) 48 and C) It corresponds to the 48-degree angle.

Step-by-step explanation:

Seeing the parallel lines k and l, and the transversal line m, we have that 48° and angle 1 are corresponding angles because k and l are parallel, then, the angle formed with the same transversal line will have the same measure.

So, the measure of angle 1 is 48 (option 1) and the reason is C) It corresponds to the 48-degree angle.

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Read 2 more answers

What is the length of missing side JK? Round Answer to nearest tenth please.

zvonat [6]

Given:

Triangle LJK.

LJ = 89 in, LK = 28 in and m∠L = 42°

To find:

The length of missing side JK.

Solution:

LJ = k = 89

LK = j = 28

JK = l = ?

Using law of cosine:

$l^{2}=j^{2}+k^{2}-2 jk \cdot \cos L$

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$l^{2}=28^{2}+89^{2}-2 \cdot 28 \cdot 89 \cdot \cos 42^\circ$

$l^{2}=784+7921-4984 \cdot (0.7)$

$l^{2}=784+7921-4984 \cdot (0.7431)$

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Taking square root on both sides.

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