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3 years ago

Simplify the expression |-19|

Mathematics

1 answer:

weqwewe [10]3 years ago

5 0

19 because that's the absolute value of -19

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The lines shown below are parallel. If the green line has a slope of 5, what isthe slope of the red line?.O A.OB. 55O C.C. -//OD

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The slope of the red line is 5. The correct answer is option B. 5

Two parallel lines, always have the same slope. Since the green and red line are parallels and the green line has slope 5, the slope of the red line is also 5.

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9 months ago

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3 years ago

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2 years ago

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2 years ago

1. In circle o, chord AB and tangent CAD are drawn. It is known that mAB=116 . Find each of the

meriva

Given:

m(ar AB) = 116°

To find:

1. The measure of arc BEA.

2. The measure of ∠CAB

3. The measure of ∠BAD

Solution:

1. The measure of arc of full circle is 360°.

m(ar AB) + m(ar BEA) = 360°

116° + m(ar BEA) = 360°

Subtract 116° from both sides.

m(ar BEA) = 244°

2. Using the tangent-chord angle theorem:

$$\Rightarrow m\angle CAB = \frac{1}{2} m(ar \ AB)$

$$\Rightarrow m\angle CAB = \frac{1}{2} \times 116^\circ$

⇒ m∠CAB = 58°

3. Using the tangent-chord angle theorem:

$$\Rightarrow m\angle BAD = \frac{1}{2} m(ar \ BEA)$

$$\Rightarrow m\angle BAD = \frac{1}{2} \times 244^\circ$

⇒ m∠BAD = 122°

Using the fact that it is supplementary to ∠CAB.

⇒ m∠CAB + m∠BAD = 180°

⇒ 58° + m∠BAD = 180°

Subtract 58° from both sides.

⇒ m∠BAD = 122°

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2 years ago