Consider that lines B and C are parallel. What is the value of x? What is the measure of the smaller angle?

Mathematics

1 answer:

natulia [17]3 years ago

5 0

The angles labeled are same side exterior which means that they are supplementary.

They both add up to 180.

2x + 18 + 6x + 26 = 180
8x + 44 = 180
8x = 136
x = 17

So x is 17.

Now to find The value of the smaller angle use 17 for x.

2(17) + 18
34 + 18
52

Hope this helps :)

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Evaluate 12x-(4y+7z) for x=9 y= 4 and z = 2

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The answer to "12x-(4y+7z) for x=9 y= 4 and z = 2" is 78.

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3 years ago

Please help me <br> I have to solve the triangle with the law of sines

Nikitich [7]

Check the picture below.

and since a triangle has a sum of 180° for all interior angles.

A = 180 - 39.34 - 25

A = 115.66

$\bf \cfrac{sin(25^o)}{44}=\cfrac{sin(A)}{a}\implies \cfrac{sin(25^o)}{44}=\cfrac{sin(115.66^o)}{a} \\\\\\ a\cdot sin(25^o)=44\cdot sin(115.66^o)\implies a=\cfrac{44\cdot sin(115.66^o)}{sin(25^o)} \\\\\\ a\approx 93.8452\implies \stackrel{\textit{rounded up}}{a = 93.85}$