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Arlecino [84]
3 years ago
5

Determine the measure of x

Mathematics
2 answers:
grigory [225]3 years ago
3 0

Answer: 43 degrees

Step-by-step explanation:

mihalych1998 [28]3 years ago
3 0

Answer:

The value of x is 41.1 units .

Step-by-step explanation:

You have to use Cosine Rule, cosθ = adjacent/hypotenuse. Then substitute the following values into the formula :

\cos(θ) =  \frac{adj.}{hypo.}

Let θ = 47°,

Let adj. = 28,

Let hypo. = x,

\cos(47)  =  \frac{28}{x}

x \cos(47)  = 28

x =  \frac{28}{ \cos(47) }

x = 41.1 \: units \: (3s.f)

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<u>ANSWER:</u>

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<u>SOLUTION: </u>

Given, the midpoint of AB is M(-5,1).  

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We know that, mid-point formula for two points A(x_{1}, y_{1}) and B (x_{1}, y_{2}) is given by

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