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Fittoniya [83]
3 years ago
9

Evaluate the expression 7/13 × 8/11

Mathematics
1 answer:
satela [25.4K]3 years ago
8 0

Answer:

56/143

Step-by-step explanation:

For fraction multiplication, multiply the numerators and then multiply the denominators to get

7*8/13*11 = 56/143

This fraction cannot be reduced.

Therefore:

7/13 * 8/11 = 56/143

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In a triangle, the measure of an angle is in the same order of size as the length of the opposite side. The smallest angle is opposite the shortest side. The largest angle is opposite the longest side. The middle-sized angle is opposite the middle-sized side.

Also, in a triangle, the sum of the measures of the interior angles is 180.

We can now calculate the measures of the three angles by writing and solving an equation.

m<A + m<B + m<C = 180

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Collect like terms on the left side.

9x + 7x - 2x - 7 - 9 + 28 = 180

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Subtract 12 from both sides.

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Now that we know x, we can find the measure of each angle.

m<A = 9x - 7 = 9(12) - 7 = 108 - 7 = 101
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(Quick check: Add the angles measures: 101 + 75 + 4 = 180. The sum is 180 as it should be.)

Now that we know the angle measures, the opposite sides are in the same order of size.

AB < AC < BC

The sides are, in increasing order of length:

AB, AC, BC
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