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e-lub [12.9K]
3 years ago
6

The scale on a trail map is 0.5 cm : 1 km. The straight distance between 2 huts on the trail is 16.9 cm. What is the actual dist

ance?
Mathematics
1 answer:
sesenic [268]3 years ago
6 0

We have been given that the scale on a trail map is 0.5 cm : 1 km. The straight distance between 2 huts on the trail is 16.9 cm. We are asked to find the actual distance between 2 huts.

We will use proportions to solve our given problem.

\frac{\text{Actual length}}{\text{Scale length}}=\frac{\text{1 km}}{\text{0.5 cm}}

\frac{\text{Actual length}}{\text{16.9 cm}}=\frac{\text{1 km}}{\text{0.5 cm}}

\frac{\text{Actual length}}{\text{16.9 cm}}\times \text{16.9 cm}=\frac{\text{1 km}}{\text{0.5 cm}}\times \text{16.9 cm}

\text{Actual length}=\frac{\text{1 km}}{\text{0.5}}\times \text{16.9}

\text{Actual length}=33.8\text{ km}

Therefore, the actual distance between both huts is 33.8 km.

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Which sequence of transformations will verify that EFGH and quadrilateral EFGH and quadrilateral E'F'G'H are congruent?
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D) EFGH moved onto E'F'G'H after rotating 180 counterclockwise around the origin and the reflecting across the y-axis.

<h3>How to carry out transformations?</h3>

From online resources gotten about this question, for quadrilateral EFGH and quadrilateral E'F'G'H to be congruent, what we must do first is to rotate 180° counterclockwise around the origin and then move EFGH onto E'F'G'H'.

The last step to get this proof of congruency is to reflect across the y-axis.

Read more about transformations at; brainly.com/question/4289712

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5 0
2 years ago
A small fruit basket with 6 apples and 6 oranges costs $7.50. A different fruit basket with 10 apples and 5 oranges costs $8.75.
Andreas93 [3]

Answer:

x = $0.50

y= $0.75

Step-by-step explanation:

1. Multiply the equations to have the same coefficients

5(6x + 6y = 7.5) → 30x + 30y = 37.5

3(10x + 5y = 8.75) → 30x + 15y = 26.25

2. Subtract the equations

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<u>- 30x + 15y = 26.25</u>

15y = 11.25

3. Solve for y by dividing both sides by 15

y = 0.75

4. Plug in 0.75 for y into one of the equations

6x + 6(0.75) = 7.5

5. Simplify

6x + 4.5 = 7.5

6. Solve for x

6x = 3

x = 0.5

8 0
2 years ago
Expertsss/aceee plzzz helpppp quickkklyyyy
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I would think that it would be A.... I am an expert but, only in 8th, so I would double check.
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6 0
2 years ago
How do you solve this ?
sesenic [268]
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that the answer o think
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