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Ronch [10]
3 years ago
8

Solve. Justify your responses. a Given:a║b and c║d, m∠ 4=35° Find: m∠1, m∠2, and m∠3

Mathematics
1 answer:
STALIN [3.7K]3 years ago
7 0

Answer:

<em>m∠1 =  90°</em>

<em>m∠2 = 35°</em>

<em>m∠3 = 55°</em>

Step-by-step explanation:

Find the diagram attached

From the diagram:

m

Given that <4 = 35°

m

The sum of the angle on a straight line at point A is 180°. Hence:

90+m

The sum of angle in the triangle ABC is 180°, hence;

m

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erik [133]

Step 1. Convert 3 1/4 to an improper fraction.

3 * 4 + 1/4 - 1 5/8

Step 2. Simplify 3 * 4 to 12

12 + 1/4 - 1 5/8

Step 3. Simplify 12 + 1 to 13

13/4 - 1 5/8

Step 4. Convert 1 5/8 to an improper fraction.

13/4 - 1 * 8 + 5/8

Step 5. Simplify 1 * 8 to 8

13/4 - 8 + 5/8

Step 6. Simplify 8 + 5 to 13

13/4 - 13/8

Step 7. Find the Least Common Denominator (LCD) of 13/4, 13/8

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Step 8. Make the denominators the same as the LCD

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Step 9. Simplify. Denominators are now the same

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Answer:

<u>Domain</u>: input values (x-values)

<u>Range</u>: output values (y-values)

<u>Increasing function</u>:  the average rate of change is positive

<u>Decreasing function</u>: the average rate of change is negative

<u>Constant function</u>: y-values do not vary, regardless of x-values

<h3><u>Graph 1</u></h3>

From inspection of the graph, 2 squares = 1 unit.

Domain: [-2, 3]

Range:  [-2, 2]

Increasing function: (-2, 0)

Decreasing function:  (0, 3)

<h3><u>Graph 2</u></h3>

From inspection of the graph, 2 squares = 1 unit.

Domain: [-2, 3]

Range: [-2.5, 2]

Increasing function: (-2, -1) ∪ (1.5, 3)

Decreasing function:  (-1, 1.5)

<h3><u>Graph 3</u></h3>

From inspection of the graph, 2 squares = 1 unit.

Domain: [-2, 3]

Range: [-1, 2]

Increasing function: (-2, -1)

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Decreasing function:  (1, 3)

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