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Marrrta [24]
3 years ago
7

Find the distance between the two numbers on a number line. Write your answer as a mixed number.

Mathematics
1 answer:
yulyashka [42]3 years ago
7 0

Answer:

316

Step-by-step explanation:

(-323) - (-7) = 316

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Since it is given that AB ≅ AC, it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one a
BartSMP [9]

Answer: The required conclusion is

"if in triangle ABC, AB ≅ AC, then ∠B and ∠C must be congruent".

Step-by-step explanation:  Given that in triangle ABC,  AB ≅ AC, implies that AB = AC must be true. We are given to assume ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other.

If m∠B > m∠C, then AC > AB because of the triangle parts relationship theorem.

For the same reason, if m∠B < m∠C, then AC < AB.

This is a contradiction to the given information.

We are to state the conclusion.

Since in the beginning, it is given that AB ≅ AC and we have assumed that ∠B and ∠C are not congruent, so

our assumption must be wrong.

That is, ∠B and ∠C must be congruent.

Thus, the required conclusion is

if in triangle ABC, AB ≅ AC, then ∠B and ∠C must be congruent.

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3 years ago
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Identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior.
SIZIF [17.4K]
1. C) Consecutive Interior Angle
2.D) Alternate Interior Angle
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3 years ago
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Please help! Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact valu
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Answer:

The \ area \ of \ the \ figure = 4\dfrac{1}{2} \cdot \pi + 18 \ cm^2

Step-by-step explanation:

Given that the figure is made up of portion of a square and a semicircle, we have;

BC ≅ AB = 6 cm

The area of semicircle BC with radius BC/2 = 3 is 1/2×π×r² = 1/2×π×3² = 4.5·π cm²

Triangle ABC = 1/2 × Area of square  from which ABC is cut

The area of triangle ABC = 1/2×Base ×Height = 1/2×AB×BC = 1/2×6×6 = 18 cm²

The area of the figure = The area of semicircle BC + The area of triangle ABC

The area of the figure = 4.5·π cm² + 18 cm² = \dfrac{9 \cdot \pi +36}{2} \ cm^2.

5 0
3 years ago
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nirvana33 [79]
<span>The ratio of 3 to 4 can be written in all the following ways except 4/3. </span>
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3 years ago
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Which of the sss-values satisfy the following inequality?<br> 7-\dfrac s2\gt 3
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Answer:

A

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Substitute 6 into place and solving the answer gives you 4 which is indeed bigger than 3. All the other numbers will give you an answer of something lower than 3 which is not what we're looking for in this case.

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