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Karolina [17]
3 years ago
9

Aaron wants to make a path to guide guest through the conservation area.He uses rolls of rope to make the path.He uses 3/4 of a

roll of rope for 1/8. He has 4 rolls.How many more rolls does Aaron need to complete the path
Mathematics
1 answer:
mel-nik [20]3 years ago
5 0

Answer:

Aaron needs <u>2 more rolls</u> to complete the path.

Step-by-step explanation:

Given:

Total rolls Aaron has = 4

Part of path covered by using \frac{3}{4} of a roll = \frac{1}{8}

So, in order to find the number of rolls required to cover the complete path is given using the unitary method.

Rolls used for \frac{1}{8} of a path = \frac{3}{4}

Therefore, rolls used to cover the whole path is given by dividing the rolls used for one-eighth of the path and the path covered. This gives,

=\frac{3}{4}\div \frac{1}{8}

=\frac{3}{4}\times \frac{8}{1}

=\frac{3\times 8}{4\times 1}

=\frac{24}{4}

=6\ rolls

Now, rolls required to complete the path is 6. But Aaron has only 4 rolls.

So, he will need 6 - 4 = 2 rolls more to complete the path.

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Answer:

x = 25

Step-by-step explanation:

Angle 1 and the angle opposite from Angle 1 (the angle that's 68°) are vertical angles.

What are vertical angles, you ask?

According to the Oxford dictionary, vertical angles are each of the pairs of opposite angles made by two intersecting lines.

For example, take the letter X. The letter X has two lines that intersect to form 4 angles. The top and bottom angles are a pair of vertical angles. So are the left and right angles.

Vertical angles are always congruent.

(This is VERY important to know! It will help you solve many types of geometry problems!)

m1 is 3x - 7. Because Angle 1 and the angle that's 68° are vertical angles, that means they are equal to each other.

Therefore: 3x - 7 = 68.

Now, you can solve for x to get x = 25.

Hope this helps!

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