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pochemuha
3 years ago
15

A triangle with vertices at A(0,0),B(0,4),and C(6,0) is dilated to yield a triangle with vertices at A'(0,0),B'(0,10), and C'(15

,0). The origin is the center of dilation. What is the scale factor of the dilation.
Mathematics
2 answers:
KatRina [158]3 years ago
6 0

Answer: 2.5

Explaination:

After graphing both triangles, the height of the first triangle was 4. I multiplied it by 2.5 and got 10 (the height of the second triangle).

kakasveta [241]3 years ago
5 0
You can use 4/10 or 6/15
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Find the values for x and y.
vivado [14]
Both sides need to equal 180 (The side with the 90 degrees measurement and the side with equations). So first subtract 180 from 90
180 - 90
to get the measurement of 5x and you get 90 but we aren't done yet since we need to find x so now we need to divide 5 by 90
90 \div 5 = 18
and we get 18 which is X.
x = 18
Now we need to find the measurement of Y. Now both angles on that side together equals 180 so we need this equation.
5(y + 11) + 4y - 10 = 180
First, distribute 5(y + 11)
5 \times y \\ 5 \times 11
Then you get this equation :
5y + 55 + 4y - 10 = 180
Now, add the two equations together
5y + 55 + 4y - 10
and you get this equation

9y + 45 = 180
Now subtract 45 from both sides
9y + 45 - 45 = 180 - 45
and divide by 9 on both sides
9y \div 9 = 135 \div 9
and you get your answer
y = 15

So
x = 18
and
y = 15
8 0
3 years ago
How do you find compound interest and simple interest?
Goshia [24]
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6 0
3 years ago
Matthew participates in a study that is looking at how confident students at SUNY Albany are. The mean score on the scale is 50.
Alex Ar [27]

Answer:

b) 6.68%

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean score on the scale is 50. The distribution has a standard deviation of 10.

This means that \mu = 50, \sigma = 10

Matthew scores a 65. What percentage of people could be expected to score the same as Matthew or higher on this scale?

The proportion is 1 subtracted by the p-value of Z when X = 65. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{65 - 50}{10}

Z = 1.5

Z = 1.5 has a p-value of 0.9332.

1 - 0.9332 = 0.0668

0.0668*100% = 6.68%

So the correct answer is given by option b.

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Fynjy0 [20]

Answer:

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3 years ago
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barxatty [35]

Answer:

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Step-by-step explanation:

4 0
2 years ago
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