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Anna007 [38]
3 years ago
8

Two angles form a linear pair. One angle measures 8 less than three times the other. Find the measures of the angles.

Mathematics
1 answer:
Naddik [55]3 years ago
3 0

Answer:

47⁰, 133⁰

Step-by-step explanation:

Angles : x , 3x - 8

Sum = 180

x + 3x - 8 = 180

4x = 188

x = 47

Angles are 47 , 133

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Help please:Suppose that x and y inversely, and x=10 when y=8 write the function that models the inverse variation
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SOLUTION

From the question, we are told that y varies inversely as x

This is mathematically written as

\begin{gathered} y\propto\frac{1}{x} \\ \propto\text{ is a sign of proportionality } \end{gathered}

Now, we will remove the proportionality sign and replace it with equal to sign =

If we do this, we will intoduce a constant k

\begin{gathered} y\propto\frac{1}{x} \\ y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}

So we have the formula

y=\frac{k}{x}

We will substitute the values of x for 10 and y for 8 into the formula to get k, we have

\begin{gathered} y=\frac{k}{x} \\ 8=\frac{k}{10} \\ k=8\times10 \\ k=80 \end{gathered}

Now, we will substitute k for 80 back into the formula to get the inverse function, we have

\begin{gathered} y=\frac{k}{x} \\ y=\frac{80}{x} \end{gathered}

Hence the answer is option C

7 0
1 year ago
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olga nikolaevna [1]

Answer:

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Step-by-step explanation:

200^2 +125^2= distance traveled^2

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Answer:

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We know that if we find the size of an exterior angle for the given regular polygon whose exterior angle is 18∘, we can find the number of sides. Where, n is the number of sides. Therefore, there are 20 sides in the given regular polygon whose exterior angle is 168∘.

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