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Readme [11.4K]
2 years ago
8

9. Which lines are parallel if mZ4=mZ5? Justify your answer.

Mathematics
1 answer:
Natali5045456 [20]2 years ago
8 0

Answer:

r || s

Step-by-step explanation:

m∠4 = m∠5  Given.

These angles are called alternate interior angles and because you are given that they are = then there are two parallel lines. The converse of the theorem stated.  If alternate interior angles are cut by a transverse and two lines and the alternate interior angles are equal, then you have a pair of parallel lines.

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1) \overline{AB} \perp \overline{BD}, \overline{AB} \cong \overline{DB}, \overline{AC} \cong \overline{DE} (given)

2) \angle ABD is a right angle (perpendicular lines form right angles)

3) \triangle ABD and \triangle DEB are right triangles (a triangle with a right angle is a right angle)

4) \triangle ABD \cong \triangle DEB (HL)

5) \angle ACB \cong \angle DEB (CPCTC)

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2 years ago
Write the equation of the vertical line that passes through ordered pair 2.
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Answer:

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3 years ago
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Answer:

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3 years ago
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Rebecca needs 10 ½ yards of fabric to make a quilt. She has one piece of fabric that is 2 ½ yards and another piece of fabric th
muminat

Answer:

3\frac{3}{4} yards of fabric

Step-by-step explanation:

In order to solve this problem, we should first make all of the fractions have common denominators. To do so we can turn the 1/2s into 2/4 which both equal 0.5 or 50%. Now we simply need to add together the pieces of quilt that she has and subtract that value from the total that she needs in order to calculate the amount of quilt that she is missing.

10 \frac{2}{4} - (2\frac{2}{4} + 4\frac{1}{4}) = x

10 \frac{2}{4} - 6\frac{3}{4} = x

3\frac{3}{4} = x

Finally, we can see that Rebecca needs a total of 3\frac{3}{4} yards of fabric to finish her quilt.

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200:22, 400:44, so there are 6 more marked deers left. To find them, 200/22, 9.09090909....., so 9.09090909*50 = 454.54545454 (round that and you get 455, hence the answer would be C).
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