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Ronch [10]
3 years ago
15

Polygon Y is a scaled copy of Polygon X using a scale factor of \dfrac13 3 1 ​ start fraction, 1, divided by, 3, end fraction. P

olygon Y's area is what fraction of Polygon XXX's area?
Mathematics
1 answer:
emmainna [20.7K]3 years ago
8 0

Answer:

Polygon Y's area is one ninth (1/9) of Polygon X's area

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

In this problem

Let

z-----> the scale factor

a-----> Polygon Y's area

b----> Polygon X's area

z^{2}=\frac{a}{b}

we have

z=\frac{1}{3}

substitute

(\frac{1}{3})^{2}=\frac{a}{b}

\frac{1}{9}=\frac{a}{b}

a=\frac{1}{9}b

therefore

Polygon Y's area is one ninth (1/9) of Polygon X's area

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3 years ago
suppose you have three consecutive integers. The greatest of the three integers is twice as great as the sum of the first two. W
zvonat [6]

Answer:

0,1,2

Step-by-step explanation:

(x+2) = 2((x+1)+(x)

x+2 = 2x+2+2x

x+2 = 4x+2

-x       -x

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-2            -2

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6 0
2 years ago
Find the width of the rectangular prism when the surface area is 208 square centimeters.
ozzi
SA=2(lw+wh+lh) This is the formula for finding the surface area of a rectangular prism, where SA is surface area, l is length, w is width, and h is height.

208=2(lw+wh+lh)
104=lw+wh+lh Here, I divided both sides by 2 to get ride of the 2.

Now, I used prime factorization to find out all the prime factors of 104, which are 2, 2, 2, and 13. Since rectangular prisms only have 3 dimensions, I needed to combine two of the prime factors. In this case, I can either combine 2 of the 2s to get 2, 4, and 13 or I can combine 13 with one of the 2s to get 26, 2, and 2.

If my dimensions were 2, 4, and 13...
my surface area would be 172 sq cm.

If my dimensions were 2, 2, and 26...
my surface area would be 208 sq cm.

Hence, the width of the rectangular prism when the surface area is 208 square centimeters can be either 2 or 26.
7 0
3 years ago
Expand and simplify 10-3(3x-2)​
JulijaS [17]

Answer:

−9+16

Step-by-step explanation:

1. 10−3(3−2)

10−9+6

2. Add the numbers

3. Rearrange terms

3 0
2 years ago
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anastassius [24]

Answer:

$18

Step-by-step explanation:

1. Subtract 5-2 to get three

2. Divide 27 by three to get 9. Now you know how many $ is in one sectio

3. Multiply 9 by 2

4. Riley got $18

4 0
3 years ago
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