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Maslowich
3 years ago
15

In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police

Mathematics
2 answers:
Tresset [83]3 years ago
4 0

Answer:

4 :)

Step-by-step explanation:

Lyrx [107]3 years ago
3 0

Answer:

Option 3 - 4 miles

Step-by-step explanation:

Given : In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police  station and the fire station. The distance between the library and the police station is 5 miles.

To find : How far apart are the police  station and the fire station?

Solution :

Let the distance between police station and fire station be 'x'.

The distance between the library and the police station is 3 miles less than twice the distance between the police  station and the fire station.

i.e. 2x-3

The distance between the library and the police station is 5 miles.

i.e. 2x-3=5

2x=5+3

2x=8

x=4

Therefore, The police and fire stations is 4 miles apart.

So, Option 3 is correct.

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zubka84 [21]

The complete proof for the given parallelogram is given in the image attached below.

<h3>What is a Parallelogram?</h3>

A parallelogram is a quadrilateral whose opposite sides are parallel and also congruent to each other.

The complete proof would be as shown below:

1. ABCD is a parallelogram [given]

2. AB║CD [Definition of parallelogram]

3. ∠1 ≅ ∠2, ∠3 ≅ ∠4 [alternate interior angles theorem]

4. AB ≅ CD [Definition of parallelogram]

5.  ΔABE ≅ ΔCDE [ASA]

6. AE ≅ CE, BE ≅ DE [CPCTC]

7. AC and BD bisects each other at E [definition of segment bisector]

Learn more about parallelogram on:

brainly.com/question/3050890

#SPJ1

6 0
1 year ago
a cd usally sells for 17.00 if the CD is 30% off and the sales tax is 8% what is the total price of the CD including tax
Ksenya-84 [330]

Answer:

$12.85

Step-by-step explanation:

First we need to find the sale price of the CD

Sale price = old price - old price * discount rate

                 = 17 - 17* .3

                 = 17 - 5.1

                 = 11.9

The sale price of the CD is 11.90

Now we need to find the tax

tax = sale price of cd * tax rate

      = 11.9 * .08

      = .95


The final cost of the CD is  sale price of CD plus the tax

Total cost = sale price of CD + tax

                 = 11.90 + .95

                    =12.85

3 0
3 years ago
Three consecutive even integers add to −6. What are these integers?
notka56 [123]
----------------------------------------------------
Define the numbers
----------------------------------------------------
Let the first even number be x
1st even number = x
2nd even number = x + 2
3rd even number = x + 4

----------------------------------------------------
Form the equation and solve
----------------------------------------------------
 x + x + 2 + x + 4 = -6
3x + 6 = -6
3x = - 12
x = -4

----------------------------------------------------
Find the numbers
----------------------------------------------------
1st even number = x = -4
2nd even number = x + 2 = -4 + 2 = -2
3rd even number = x + 4 = -4 + 4 = 0

----------------------------------------------------
Answers: The numbers are -4, -2 and 0
----------------------------------------------------
6 0
3 years ago
Read 2 more answers
Xsquared -5x= 2x-6 what is the solution
mote1985 [20]
<span>Xsquared -5x= 2x-6
x^2 - 5x - 2x + 6 = 0
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x-6 = 0, x = 6
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answer
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x = 1 and x =6</span>
4 0
3 years ago
Read 2 more answers
Riley used a drawing to divide . He made groups of 12 with 1 left over. Hoy many groups did he make?
Yakvenalex [24]

Step-by-step explanation:

Here important information is missing. That is total number of divide.

However, it is given that riley made groups of 12 with 1left over from total number of divide. So, total number of divides on the drawing must be a multiple of 12 +1. It can be any number like 12n+1, where n is an integer. Then we ca find total number of group.  

5 0
3 years ago
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