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alexgriva [62]
1 year ago
9

Rectangle A’B’C’D is the imagine if rectangle ABCD after a dilation. The center of dilation is the orgin. What is the scale fact

or of the dilation?

Mathematics
1 answer:
Leokris [45]1 year ago
7 0

Answer:

D.  3

Step-by-step explanation:

Look at rectangle ABCD.  It's dimensions are 1 by 2 (1 unit high and 2 units long).  Now look at rectangle A'B'C'D', the image.  It's a rectangle that is 3 by 6.

The dimensions of the original rectangle have been multiplied by 3.

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There are 53 students on the Jackson Middle School basketball teams. The number of 8th graders is 15 fewer than three times the
pshichka [43]

Answer:

The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36

Step-by-step explanation:

Let

x ----> the number of 7th students on the Jackson Middle School basketball teams

y ----> the number of 8th students on the Jackson Middle School basketball teams

we know that

There are 53 students on the Jackson Middle School basketball teams

so

x+y=53 -----> equation A

The number of 8th graders is 15 fewer than three times the number of 7th graders

so

y=3x-15 ----> equation B

substitute equation B in equation A

x+(3x-15)=53

solve for x

x+3x=53+15\\4x=68\\x=17

Find the value of y

y=3(17)-15=36

therefore

The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36

6 0
1 year ago
Read 2 more answers
Find the quotient. (5x4 – 3x2 4) ÷ (x 1)
Vlada [557]

Keywords:

<em>Divide, polynomial, quotient, divisor, dividend, rest </em>

For this case, we must find the quotient by dividing the polynomial (5x ^ 4-3x ^ 2 + 4)\ by\ (x + 1). We must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until it reaches the rest, as shown in the attached figure. At the end of the division, to verify we must bear in mind that:

Dividend = Quotient * Divider + Remainder

Answer:

See attached image

4 0
1 year ago
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A pack of paper costs $3.75 including tax. Mr. Cooper wants to purchase packs of paper for his class and has a $20 budget. Write
STALIN [3.7K]
If a pack of paper costs 3.75 including tax, and there is a $20 budget, then the equation to find out the answer would be 3.75p is greater or equal to $20. So the answer would be B. 3.75 would be multiplied by the tax and then applied up to $20. 
7 0
1 year ago
In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula StartFraction
tensa zangetsu [6.8K]

<u>The given options are:</u>

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

(B)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.

(C)the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.

(D)the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.

Answer:

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Step-by-step explanation:

The area of the shaded sector can be determined using the formula:

\frac{m\angle ZYX}{360^\circ} \cdot \pi r^2

m\angle XYZ=$Central angle of XYZ\\\pi r^2$=Area of a Circle

360^\circ =$Total Angle

Therefore, the formula is:

\dfrac{m\angle ZYX}{360^\circ} \cdot \pi r^2\\\text{Area of XYZ}=\dfrac{\text{Cental Angle of XYZ}}{\text{Total Angle}} X \text{Area of the Circle}

Therefore, the formula is best explained by Option A.

7 0
1 year ago
A bag contains 15 15 red candies, 15 15 yellow candies, and 15 15 blue candies. what is the probability of randomly choosing two
Wittaler [7]
Based on my calculations, this would be 10%.
4 0
1 year ago
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