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olga_2 [115]
3 years ago
12

In quadrilateral PQRS, m∠RQS = 25° and PS = QR. What measure of ∠PSQ would confirm that PQRS is a parallelogram?

Mathematics
1 answer:
katrin [286]3 years ago
6 0

Answer:

  25°

Step-by-step explanation:

If sides PS and QR are parallel, then ∠PSQ and ∠RQS are alternate interior angles, hence congruent. That is, ∠PSQ ≅ ∠RQS = 25°.

_____

<em>Comment on the problem statement</em>

Confirming that two sides are parallel does not confirm the figure as a parallelogram. It could be a trapezoid. The given condition is necessary, but is not sufficient to do the confirmation.

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bogdanovich [222]

Answer:

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Step-by-step explanation:

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Korolek [52]

Answer:

y=-\frac{1}{3}x+4

Step-by-step explanation:

step 1

Find the slope of the perpendicular line

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal

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In this problem

we have

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The equation of the given line is m=3

so

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step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

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Convert to slope intercept form

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Distribute right side

y-2=-\frac{1}{3}x+2

y=-\frac{1}{3}x+2+2

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3 years ago
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zhannawk [14.2K]

Answer:

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Changing the base from 2 to 10

log_{2} 11 = \frac{log_{10}11 }{log_{10}2 } ≈ 3.4594

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Answer:

Your answer would be:

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2

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1

Point 3 1/2:

2

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3

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Point 4 1/4:

4

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Step-by-step explanation:

Have a great rest of your day

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