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Alex777 [14]
2 years ago
7

A map shows the town where Niko lives. The actual distance from Niko's house to his school is 3 miles, and measures one-half inc

h on the map. The actual distance from Niko's school to the library is 4 miles. How long is this distance on the map?
Mathematics
2 answers:
Temka [501]2 years ago
6 0

<u>Answer:</u>

The distance is 2 inches in map

<u>Explanation:</u>

Given, the actual distance between Niko’s house and his school is 3 miles

In map, the distance is one half inch (1.5 inch)

Therefore, 1.5 inch (in map) = 3 miles (actual)

If the actual distance is 4 miles

Then, distance in maps is \frac{4 \times 1.5}{3} =2 inches

Hence, the distance is 2 inches in map

katrin2010 [14]2 years ago
3 0

Answer:

<u>The distance of the library in the map is 0.67 inches (Rounding to two decimal places)</u>

Step-by-step explanation:

1. Let's review all the information given for solving this question:

Scale factor for the map of the town = 0.5 inches: 3 miles

Distance from Niko's house to his school = 3 miles

Distance from Niko's school to the library = 4 miles

2. Let's find the distance of the library in the map

Distance of the library in the map = Distance of the library * Scale factor

Distance of the library in the map = 4 miles * 0.5 inches:3 miles

Distance of the library in the map = (2 miles * inches)/3 miles

Distance of the library in the map = 2 inches/3 (Miles are cancelled in the numerator and in the denominator)

<u>Distance of the library in the map = 0.67 inches (Rounding to two decimal places)</u>

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Answer:

A and E are correct option.

Step-by-step explanation:

We are given two triangle congruent.

If two triangles are congruent then their corresponding sides and angles are equal.

In ΔTUV ≅ ΔWXY

Now we write all the congruent sides and angles

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Now we see all the given option.

∠Y=∠V  (TRUE, Congruent part of congruence triangles)

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If the five digit number aa448 is divisible by 9, what digit does a represent?
kaheart [24]

Answer:

a represent 1

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Step-by-step explanation:

We know that a number is divisible by 9 if the sum of its digit is divisible by 9.

Given number aa448

sum of 4+4+8 = 16

number divisible by 9, 18 , 27,36

as we see sum of 448 is 16 , hence sum of a+a+4+4+8 should be  number divisible by 9 and greater than 16 which is 18, 27,36

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________________________________________

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as digit cannot be fraction of decimal, it can take value from 1 to 9 hence

sum of digits of aa448 is not divisible by  27

______________________________________________

Let see of if sum of digits of aa448 is divisible by  36

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as digit can take value from 1 to 9 hence sum of digits of aa448 cannot  be divisible by  36 or any higher number than 36 which is divisible by 9.

Thus , a represent 1

and number is 11448.

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