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masha68 [24]
3 years ago
8

In the diagram, the measurements that are labeled are known, while the other measurements are unknown. Which measurement of acut

e triangle ABC can you find by direct substitution of the labeled measures in the Law of Sines?
A.c

B.m/_C

C.m/_B

D.none

Mathematics
1 answer:
andrew-mc [135]3 years ago
8 0
As the sine rule states,

A/sina = B/sinb = C/sinc .

in the diagram, there are two identified sides and if you use the sine rule, you can find the opposed angles easily.

there are:

side a, with angle â .
side b, with angle b.

so the answer is C.

if you input these into the sine rule, it would be:

a/ sin a = b/sin b
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Select the correct first step to solve the follow equation: −4(x−5)=−7x+10
Otrada [13]

Answer:

x = -10/3

Step-by-step explanation:

−4(x−5)=−7x+10

Use the distributive property to multiply −4 by x−5.

−4x+20=−7x+10

Add 7x to both sides.

−4x+20+7x=10

Combine −4x and 7x to get 3x.

3x+20=10

Subtract 20 from 10 to get −10.

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Divide both sides by 3.

x = -10/3

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in a certain pentagon, the interior angles are a,b,c,d,e where a,b,c,d,e are integers strictly less than 180. ("Strictly less th
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Answer:

  least to greatest: {61, 61, 61, 178, 179}

Step-by-step explanation:

If the third-largest angle is 61°, the smallest three angles cannot be larger than 183°. Since the total of all angles must be 540°, and the total of the largest two cannot be greater than 179°×2 = 358°, the sum of the smallest three must be at least 540° -358° = 182°.

So, the possible sets of angles with the smallest 3 totaling 182° or 183° are (in degrees) ...

  {60, 61, 61, 179, 179} . . . . two modes

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