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nexus9112 [7]
3 years ago
7

Use Law of Sines or Law of Cosines to solve for the missing parts of each triangle​

Mathematics
1 answer:
ella [17]3 years ago
4 0

Answer:

x = 9.7

Step-by-step explanation:

Given

The attached triangle

Required

Find x

Using law of sine, we have:

\frac{a}{sin A} = \frac{b}{Sin B}

So, we have:

\frac{x}{sin 32} = \frac{18}{Sin 100}

Make x the subject

x = \frac{18 * sin 32}{Sin 100}

x = \frac{18 * 0.5299}{0.9848}

x = 9.685

x = 9.7 -- approximated

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Step-by-step explanation:

The substitution method requires you to input a specified number in place of a variable. In this case, the variable 'x' should be replaced by the number 4. Using the order of operations, we know that multiplication should be applied before subtraction. When we replace 'x' with 4, we get the equation 'y=8(4)-4'. Multiplying 8 and 4 gives us 32. If we subtract 4 from 32, we get 28. The answer ends up being 'y=28'.

That is the first part of our solution. What we are actually looking for is an ordered pair. We know ordered pairs are written in the form (x, y). First, we need to find the 'x'. The 'x' has been given to us from the beginning, it is 4. Next is the 'y'. This is what we needed to find using substitution. We ultimately concluded that the 'y' is equivalent to 28. Therefore our ordered pair is (4, 28), the letter choice C.

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