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3 years ago

Help please, read question fully. geometry

Mathematics

1 answer:

aleksley [76]3 years ago

3 0

Answer:

30 inches

Step-by-step explanation:

Assuming the lengths are measured when B lies between A and C on a line, the segment addition theorem applies:

AC = AB +BC

42 = AB + 12 . . . . . fill in the given numbers

30 = AB . . . . . . . . . subtract 12

The length of AB is 30 inches.

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Answer:

Step-by-step explanation:

In order to find B we must first angle C

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From the question

a = 15

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So we have

$\frac{15}{ \sin(70) } = \frac{14}{ \sin(C) }$

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<h3>C = 61.3° to the nearest tenth</h3>

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To find B add A and C and subtract it from 180°

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A + B + C = 180

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$\frac{ |a| }{ \sin(A) } = \frac{ |a| }{ \sin(B) }$

$\frac{15}{ \sin(70) } = \frac{ |b| }{ \sin(48.7) }$

$|b| = \frac{15 \sin(48.7) }{ \sin(70) }$

b = 11.9921

<h3>b = 12.0 to the nearest tenth</h3>

Hope this helps you

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