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ANEK [815]
3 years ago
15

E

Mathematics
2 answers:
dybincka [34]3 years ago
7 0

Answer:

A. 21, 16, 28

Step-by-step explanation:

1st side = x

2nd side = x-5

3rd side = x+7

x+x-5+x+7 = 65

3x + 7 - 5 = 65

3x + 2 = 65

3x = 65-2

3x = 63

63/3 = 21

x = 21

therefore, the sides are 21, 16, and 28

kotykmax [81]3 years ago
6 0

Answer:

The answer is A.

Step-by-step explanation:

Basically as it says, the first length is 5 more than the second and the third is 7 more than the first.

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olchik [2.2K]

Option A: \frac{1}{3} is the dilation factor

Explanation:

The Coordinates of the square ABCD are A(-21,18), B(-12,18), C(-12,9), D(-21,9)

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To determine the scale factor, let us divide A'C' by AC

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\begin{aligned}A^{\prime} C^{\prime} &=\sqrt{(-4+7)^{2}+(3-6)^{2}} \\&=\sqrt{3^{2}+(-3)^{2}} \\&=\sqrt{9+9} \\&=\sqrt{18}\\&=3\sqrt{2} \end{aligned}

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\begin{aligned}A C &=\sqrt{(-12+21)^{2}+(9-18)^{2}} \\&=\sqrt{9^{2}+(-9)^{2}} \\&=\sqrt{81+81} \\&=\sqrt{162}\\&=9\sqrt{2} \end{aligned}

Dividing A'C' by AC, we have,

\frac{A'C'}{AC} =\frac{3\sqrt{2} }{9\sqrt{2}} =\frac{1}{3}

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3 years ago
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3 years ago
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lapo4ka [179]
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Answer: (-3, 7)


3 0
3 years ago
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