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3 years ago

Triangle ABC is transformed to obtain triangle A′B′C′:

Mathematics

1 answer:

Lisa [10]3 years ago

8 0

Answer:

Option C is right.

Step-by-step explanation:

Given is a graph with two triangles marked on it.

Triangle ABC is in the I quadrant with vertices (2,2) (2,10) and (8,12)

Triange A'B'C' is in the III quadrant with vertices (-1,-1), (-1,-5) and (-4,-6)

On comparison we find corresponding side of AB is A'B'

Length of AB = 8 and Length of A'B' = 4.

Hence A'B'C' is obtained by dilating ABC by a scale factor of 1/2.

Now since moved to III quadrant from I quadrant we find that there is a rotation of triangle ABC about the origin. The degree of rotation is 180 degrees.

Hence A'B'C' is obtained by dilating ABC by a scale factor of 1/2 and then rotating it about the origin by 180 degrees

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Step-by-step explanation:

3(7-3) = 3 x 4 = 12

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3 years ago

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3 years ago

Lin bought 1 pretzel from a snack cart that was marked $4.50. Why did she pay $4.83?

marshall27 [118]

Answer:

Sales tax

Step-by-step explanation:

You might have like 3% sales tax which is 3 percent of the original price added back onto it.

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3 years ago

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Sergeeva-Olga [200]

Total number of chips = 4+ 6 = 10
Number of white chips = 4

Probability of picking a white chip = $\frac{4}{10}= \frac{2}{5}$

This white chip is not replaced back into the bag. This will reduce the number of white chips in the bag by 1 and reduce the total number of chips in the bag by 1.

So, now the total number of chips in the bag = 3 + 6 = 9
Number of white chips in the bag = 3

Probability of picking a white chip = $\frac{3}{9}= \frac{1}{3}$

Thus, the probability of picking two white chips will be = $\frac{2}{5}* \frac{1}{3}= \frac{2}{15}$

Therefore, option B gives the correct answer.

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3 years ago