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V125BC [204]
3 years ago
13

The scale on a map is 1 cm : 6.5 mi. The actual distance between Amelia's school and her house is 45 miles. How far apart are th

ey on the map?
Mathematics
1 answer:
zimovet [89]3 years ago
3 0

Answer:

about 6.9 cm

Step-by-step explanation:

Set up a proportion to solve this problem.

1 cm is to 6.5 miles as x cm is to 45 miles

1/6.5 = x/45           now solve for x by cross multiplying

45 = 6.5x

45/6.5 = x    

  6.923076923 cm = x

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What is the product for -3/9 and -56/80
Sergeu [11.5K]

Answer:

7/30

Step-by-step explanation:

-3/9 * -56/80

-3/9= -1/3

-56/80 = -7/10

-1/3(-7/10)

1(7) / 3(10)

7/30 or 0.2333

5 0
3 years ago
Draw the line of reflection that reflects quadrilateral ABCD onto quadrilateral A'B'C'D'
MArishka [77]

The two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.

<h3>What is geometric transformation?</h3>

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have a quadrilateral ABCD which is reflected over a line and formed a mirror image A'B'C'D' of the quadrilateral.

From the graph:

The two points are (-4, -2) and (4, 5)

The line equation passing through two points:

[y - 5] = (5+2)/(4+4)[x - 4]

y - 5 = 7/8[x - 4]

8y - 40 = 7x - 28

8y = 7x + 12

Thus, the two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ1

6 0
2 years ago
Worth 14 points please help I need a expert
lesantik [10]

Answer:

x=13

Step-by-step explanation:

we can guess that the three angles are a linear pair and equal 180

in this case we can start writing a equation

x+105+62=180

now we can subtract both whole numbers from 180 but that takes longer, so we will combine the whole numbers on the left side.

x+167=180

now we can go ahead and subtract 167 from both sides. by doing so, it isolates the x and gives you your answer

180-167=13

so... x=13

4 0
3 years ago
Pls help ASAP !!
Nutka1998 [239]

Answer:

1. The corresponding sides of the two triangles must be proportional.

Step-by-step explanation:

Option 1, is the only statement that makes GHI = JKL true. If the triangles are congruent, it means that the sides have to be proportional.

5 0
2 years ago
Find the mode: 16,12,10,15,7,916
Airida [17]

The mode is the value from a given set of data that occurs most often. It is the data with the highest frequency.

Given:

16,12,10,15,7,9,16

Form the above data given;

Rearranging for easy identification, we have;

7,9,10,12,15,16,16

\begin{gathered} 7\text{ appears once} \\ 9\text{ appears once} \\ 10\text{ appears once} \\ 12\text{ appears once} \\ 15\text{ appears once} \\ 16\text{ appears twice} \end{gathered}

From the above, we can deduce that the mode is 16 because it appears the most often. It appears twice.

Therefore, the mode is 16.

4 0
1 year ago
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