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tensa zangetsu [6.8K]
2 years ago
10

Prove: If two angles are supplementary, they also form a linear pair.

Mathematics
1 answer:
nika2105 [10]2 years ago
8 0

Based on the definition of supplementary angles and linear pair, a counterexample to the statement is: option B.

<h3>What are Supplementary Angles?</h3>

If two angles add up to give 180 degrees, they are regarded as supplementary angles.

<h3>What is a Linear Pair?</h3>

A linear pair is two adjacent angles that share a common side on a straight line, and have a sum of 180 degrees. Linear pair angles are supplementary angles.

In the image given, figure D is a perfect example of a linear pair that are supplementary.

However, in figure B, we have two angles that are not adjacent angles on a straight line but are supplementary angles.

Therefore, a counterexample to the statement is: option B.

Learn more about supplementary angles on:

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<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The equation to represent the cost would be y=46+0.25x

x is the number of miles.

a) What is your cost if you travel 57 miles?

Plug x = 57 in the above equation:

y = 46 + 0.25(57)

y = $60.25

b) If your cost was $65.00, how many miles were you charged for traveling?

Plug y = 65 in the equation:

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c) Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?

Plug y = 100 in the equation:

100 = 46 + 0.25x

x = 216 miles

Thus, the answer for part a is $60.25, for part b the answer is 76 miles, and for part c the answer is 216 miles.

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Answer:

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