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Colt1911 [192]
2 years ago
8

Which composition of similarity transformations maps polygon ABCD to polygon A’B’C’D’

Mathematics
1 answer:
Ugo [173]2 years ago
4 0

Hey there!

Unless the smaller object was rotated 360° (in which case the rotation wouldn't have to be mentioned), you can see that all of the lines are still in the same place and that it wasn't rotated at all. This eliminated any answer option that mentions a rotation, which is A and C.

Also, if you count the units of one of the straight lines – for example, line AB and A'B' – you can see that the smaller object is four times smaller than the larger object. In the case of line AB and A'B', line AB is 8 units long and A'B' is 2 units long. This means that the scale factor is 1.

Lastly, the smaller object was moved from its initial location, which would be in the center of the larger object if it wasn't moved after being scaled down.

The answer will be, "a dilation with a scale factor of 1 and then a translation."

Hope this helped you out! :-)

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Simplify the polynomial. Then find its value for the given value of the variable.
vekshin1

Answer:

Step-by-step explanation:

Simplified expression:

3x^3 -x^3 +5x^3-9x^3

2x^3 +5x^3-9x^3

7x^3 -9x^3

-2x^3

If x = -1, the value of the expression is:

-2x^3

-2(-1^3)

-2(-1)

2

Hope this helps!

3 0
2 years ago
What is the x-intercept of the equation 3x - 2y = -12 ​
muminat
X=2/3y-4

EXPLANATION
3x-2y=-12
You take -2y to the other side
It becomes 3x=2y-12
Then you divide 3
X=2/3y
-12/3=-4
X=2/3y-4
4 0
3 years ago
What is the what is the answer
ElenaW [278]
The answer would be D. 18/6. We can figure this out because in the question, it says that each shape is worth one whole. There are three shapes so that means when added, the sum is 3 and 18/6, when reduced is 3.
I hope this helped! :-)
3 0
3 years ago
A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a s
jasenka [17]

Answer:

The minimum score of those who received C's is 67.39.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 73, \sigma = 11

If 69.5 percent of the students received grades of C or better, what is the minimum score of those who received C's?

This is X when Z has a pvalue of 1-0.695 = 0.305. So it is X when Z = -0.51.

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

-0.51 = \frac{X - 73}{11}

X - 73 = -0.51*11

X = 67.39

The minimum score of those who received C's is 67.39.

7 0
3 years ago
How are multiplacation and division related 6×blanke=24
valkas [14]
4 would be the answer for this questions
4 0
3 years ago
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