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Vikki [24]
3 years ago
15

Kyle and Taylor ran laps after school to train for the baseball team. The ratio of the number of laps Kyle ran to the number of

laps Taylor ran was 2 to 3. If Kyle ran 6 laps, how many laps did Taylor run?
Mathematics
1 answer:
Zinaida [17]3 years ago
4 0

Answer:

9 laps.

Step-by-step explanation:

-Let x be the number of laps Taylor runs.

-Given that the ratio of Kyle to Taylor laps is 2:3, we express the actual laps in meters to solve for x as follows:

\frac{Kyle}{Taylor}=\frac{2}{3}\\\\\therefore \frac{2}{3}=\frac{6}{x}\\\\2x=18\\\\x=9

Hence, Taylor runs 9 laps.

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2 years ago
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Answer:

86

Step-by-step explanation:

<u>Perimeter of WXY = WSY+WRX+XY</u>

<em>--> WSY = SY x 2</em>

--> WSY = 16 x 2 = 32

<em>Since it is an isosceles triangle, WRX = WSY</em>

--> WRX = 32

<em>--> Draw a straight line from W to XY to divide it into two halves assuming it to be point A. This would form a right angle triangle of WAX.</em>

<em>--> Solve it using the cos theta rule</em>

--> Angle = Angle X = 70°

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<em>--> Cos (Angle) = Adjacent/Hypotenuse</em>

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    WA = 10.9 rounded off to 11

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Therefore, the perimeter of WXY is 86.

4 0
3 years ago
If we wanted to prove quadrilateral MNOP was a parallelogram, which method below would not work?
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Answer:

The correct option is 4.

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Step-by-step explanation:

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We can prove that a quadrilateral MNOP is a parallelogram. If we find the slopes of all four sides and compare those of the opposite ends, same slopes would indicate the opposite sides are parallel, hence the quarilateral is a parallelogram. We can also find the distance of two opposing sides, and slopes of twp opposing sides to determine whether it is a parallelogram or not. The most difficult approach is that diagonals bisect each other at same point.

However, using only two distance formulas will not give us enough information to determine whether a side is parallel or not.

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3 years ago
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The appropriate choice is ...
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