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IrinaK [193]
3 years ago
15

According to the scale on a road map, 3 cm represents 45 kilometers. if two cities measure 10 cm apart on the map, how many kilo

meters apart are they?
Mathematics
1 answer:
denpristay [2]3 years ago
4 0
150 Km.

Good luck! :)

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What is the scale factor in the dilation if the coordinates of A prime are (–7, 6) and the coordinates of C prime are (–4, 3)?
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)

Also, the coordinates of the square A'B'C'D' are A'(–7, 6), B'(-4,6), C'(-4,3), D'(-8,3)

Now, we shall determine the scale factor in the dilation if the coordinates A' and C'.

Since, the dilation is the enlargement of the image in the same shape but different size.

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

Thus, we have,

\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}

Also,

\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}

Thus, \frac{1}{3} is the dilation factor

3 0
3 years ago
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WHat are the correct answers to this?
iogann1982 [59]

Answer:

1st blank _ 36

2nd blank _ -30

last blank _ 6

7 0
2 years ago
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How much tax would you pay on a new tv that is $899 at best buy if the tax rate is 6.5
Ksivusya [100]

Answer:

How much tax would you pay on a new TV that is $899 at Best Buy, if the tax rate is 6.5%?. answer choices. $957.44. $840.00. $58.44.

Step-by-step explanation:

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2 years ago
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Cora chose to have her birthday party
kramer

$35, sorry if I’m wrong

6 0
3 years ago
I need this problem solved real quick
PIT_PIT [208]

<u>Let's take this problem step-by-step</u>:

<u>The ;unlabeled angle' adjacent to the 'outside angle of measure 78°'</u>

  ⇒ is on a straight line

     ⇒ sum of angle measure = 180 degrees

       unlabeled_.angle+78 = 180\\unlabeled_.angle = 102

<u>Now we know:</u>

 ⇒ sum of all angles in a triangle ⇒ 180°

<u>Let's put that in equation form and solve:</u>

  x + 102 + 57=180\\x + 159=180\\x = 21

<u>Answer: 21°</u>

<u></u>

Hope that helps!

#LearnwithBrainly

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