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kramer
3 years ago
6

A pre-image is dilated by a scale factor of 4. Which statement about the pre-image and its image is true?

Mathematics
1 answer:
nikitadnepr [17]3 years ago
8 0

Answer:(c)

Step-by-step explanation:

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A rectangular garden is enclosed with eighty-six meters of fencing. The garden is thirteen meters longer than it is wide. Find t
Sergio039 [100]

Answer: length = 28 meters

Width = 15 meters

Step-by-step explanation:

Let L represent the length of the rectangular garden.

Let W represent the width of the rectangular garden.

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The rectangular garden is enclosed with eighty-six meters of fencing. This means that

2(L + W) = 86

Dividing through by 2, it becomes

L + W = 43- - - - - - - - - - - -1

The garden is thirteen meters longer than it is wide.. This means that

L = W + 13

Substituting L = W + 13 into equation 1, it becomes

W + 13 + W = 43

2W + 13 = 44

2W = 43 - 13

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6 0
3 years ago
Please help i will brainly Δdef and Δxyz are similar isosceles triangles.
aivan3 [116]

Answer:

Part 1) The ratio of the sides is 1.5

Part 2) see the explanation

Step-by-step explanation:

Part 1) we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

If  Δdef and Δxyz are similar (given problem)

then

\frac{XY}{DE}=\frac{ZY}{FE}  

substitute the values

\frac{15}{10}=\frac{ZY}{6}

solve for FY

ZY=15(6)/10=9\ cm

When two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

The scale factor is equal to

\frac{15}{10}=\frac{9}{6}=1.5

Part 2) How you could verify that these two triangles are indeed similar.

Remember that

In similar figures the corresponding angles are congruent

so

If

m∠D≅m∠X

m∠W≅m∠Y

m∠F≅m∠Z

then

Triangles are similar

7 0
4 years ago
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