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Nataly [62]
3 years ago
9

For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.

Mathematics
1 answer:
balandron [24]3 years ago
7 0

Answer:

x = 28.3

Step-by-step explanation:

tan 31° = 17 / x

x = 17 / tan 31° = 17 / 0.60086 = 28.3

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Given that LM is a midsegment of IJK, find JK.<br> A. 7<br> B. 8<br> C. 14<br> D. 16
Leno4ka [110]

Answer: Option D. 16

Solution:

If LM is a midsegment of IJK, it is joining the midpoint of the sides IJ and IK, and it's half the length of the base of the triangle (JK), then:

L is the midpoint of the side IJ, and divides it into two congruent parts:

IL=LJ

Replacing IL by 7x and LJ by 3x+4:

7x=3x+4

Solving for x: Subtracting 3x both sides of the equation:

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LM=2x+6

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LM=2(1)+6

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Replacing LM by 8:

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4 years ago
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