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AlekseyPX
3 years ago
5

Every pay period, Samuel budgets of his paycheck for savings. His paycheck is $894.30.

Mathematics
1 answer:
Elis [28]3 years ago
4 0
This is basically an incomplete question. I have researched this question and have come to know that Samuel <span>budgets 1/3 of his paycheck for savings. Based on this information, i am answering the question.

Amount of money that </span>Samuel
puts aside for savings each pay period = (1/3) * 894.30
                                                              = 298.10 dollars.
 hope that this is the answer that you were looking for and the answer has actually come to your desired help.

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One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle. Then the lines are parallel

<h3><u>Solution:</u></h3>

Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.  

We have to prove that the lines are parallel.

If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.

Now, the 1st angle will be 1/6 of right angle is given as:

\begin{array}{l}{\rightarrow 1^{\text {st }} \text { angle }=\frac{1}{6} \times 90} \\\\ {\rightarrow 1^{\text {st }} \text { angle }=15 \text { degrees }}\end{array}

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Then other angle = 11 times of 15 degrees

\text {Other angle }=11 \times 15=165 \text { degrees }

Now, sum of angles = 15 + 165 = 180 degrees.

As we expected their sum is 180 degrees. So the lines are parallel.

Hence, the given lines are parallel

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