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Ivahew [28]
3 years ago
14

What is the simplest fraction whose value is equal to the number (red heart) depicted on this number line. (Give your answer as

a fraction, not a mixed number. "Simplest fraction" means the numerator and denominator should have no common divisor greater than 1. : Look closely at the numbers on the number line. (red heart) is between 2 and 3. There are 6 tick marks between 2 and 3. How many regions do those tick marks split the number line into?

Mathematics
1 answer:
maks197457 [2]3 years ago
6 0

Answer:

simplest fraction: 2 1/3         the tick marks split the number into 7 regions

Step-by-step explanation:

The red heart is on the 2 tick mark of the 6 ticks between 2 and 3. The answer is 2 2/6 which after simplifying if equal to 2 1/3.

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For number 4, we'll need a few facts to answer our question:

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- The interior angles of a triangle add up to 180°

Given those, we notice that the one unlabeled angle in the figure shares a line with 156°. In fact, this angle is <em>supplementary</em> to 156°, which means that the two add up to 180°. To find the measure of this mystery angle, we can subtract 156 from 180 to obtain 180 - 156 = 24°.

Now, let's look at the triangle. We already know the measure of one of the angles is 24°, and the other two are x°. What else do we know about the angles of a triangle? From the two facts listed at the beginning, we know their interior angles add up to 180°, so let's use that fact to solve for x.

We have:

x+x+24=180, or 2x+24=180

Solving for x:

(2x+24)-24=180-24\\2x=156\\(2x)/2=(156)/2\\x=78

So, x = 78°.

For question 5, the <em>definition</em> of a pair of parallel lines is a pair of lines which <em>never intersect</em>, so "always" would be the appropriate answer.
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