How many pairs of parallel sides does a rectangle have?

Answers

Answer 1
Answer: A rectangle has 2 sets of parallel sides. The top and bottom, then the left and right.
Answer 2
Answer:

A rectangle is a quadrilateral which has two pairs of parallel sides.

The explanation in points is written below:

1. A rectangle is a quadrilateral with four sides and four angles.

2. Opposite sides of a rectangle are congruent (equal in length) and parallel.

3. This means that there are two pairs of sides that are parallel to each other.

4. The pairs of parallel sides are the top and bottom sides, and the left and right sides of the rectangle.

To summarize, a rectangle has two pairs of parallel sides: the top and bottom sides, and the left and right sides. This property is a defining characteristic of rectangles.

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Determine the slope of the line in the graph

Answers

Answer:

4 and -2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

the slope = rise /run

Look at the graph to find 2 points that are easy to read for example (0, -2) and (4, 0).

How did you got from (0, -2 ) to (4, 0) by rising 2 and run 4 so your slope is

m=2/4=1/2

Simplify the given equation.
17x - 6 + 3x - 5 = x + 11 + 4x

Answers

17x - 6 + 3x - 5 = x + 11 + 4x

The first thing to do is to get all the xs on the same side. 

17x + 3x - x - 4x = 11 + 5 + 6
15x = 22
x = 22/15

The answer is x = 22/15 

22 - 15 = 7
If this needs to be simplified, the answer is x = 1 7/15
17x - 6 + 3x - 5 = x + 11 + 4x
17x-11+3x=x+11+4x
20x-11=x+11+4x
20x-11=5x+11
Subtract 5x
20x-11-5x=11
15x-11=11
Add 11
15x=11+11
15x=22
Divide by 15
x= (22)/(15)
x=1 (7)/(15)

In the past you paid $800 per month to rent your apartment. You now pay $900 per month for your rent. What is the percent increase in your rent?

Answers

Answer:

Percent increase in rent is 12.5%

Step-by-step explanation:

Given:

In past the rent you paid $800 per month to rent your apartment.

i.e, Original rent paid = $ 800

You now pay $900 per month for your rent.

i.e New rent paid = $900

Increase in the rent is= New rent - Original rent= $900 -$800 =$100.

To find the percent increase in rent.

Percent increase is equal to Divide the increase by the original number and multiply the answer by 100.

i.e,

Percent Increase = (Increase in rent)/(Original rent ) * 100

then;

Percent Increase = (\$ 100)/(\$ 800) * 100

Simplify:

Percent Increase = 12.5\%

therefore, the percent increase in your rent is 12.5%

12.5% the difference is $100 write a proportion, 100 = x800 100 differencece = xoriginal 100

The farmer's market has a total of 98 tents.  the ratio of food tents to retail tents is 9:5.

a. Write a system of linear equations that represent this situation.

b.  How many food tents are at the market?

c. How many retail tents are at the market?

Answers

Answer:

Let x represents the food tents and y represents the retail rents.

As per the given statement: The farmer's market has a total of 98 tents.

x + y = 98                    ......[1]

Also, it is given that the ratio of food tents to retails tents is 9 : 5.

(x)/(y) = (9)/(5)

By cross multiply, we have;

5x = 9y

Divide both sides by 5 we get;

x = (9)/(5)y

Substitute this value x in equation [1] to solve for y;

(9)/(5)y + y = 98

Combine like terms;

(14)/(5)y = 98

Multiply both sides by (5)/(14) we get;

y =98 * (5)/(14) = 7 * 5 = 35

Substitute the value of y= 35 in x = (9)/(5)y to solve for x;

x = (9)/(5) * 35 = 9 * 7 = 63

(a)

System of linear equation that represents situation is:

x + y = 98

x = (9)/(5)y

(b)

As x represents the food tents.

Therefore, 63 food tents are at the market.

(c)

y= 35 retail tents are at the market.

F+r=98
5f=9r
F is food tents, r is retail tents.
Plug in f=9/5r to the top to get 14/5r=98. Then 2/5r=14. So r=35 and f=9/5*35=63.

3/8 x 8/9=

A:21/72

B:11/17

C:1/3

D:12/17

Answers

The answer is C because of you multiply 1/3 x 24 then you’ll get 24/72 which is the answer

12.5,-10,-7.5,x;the mean is 11.5

Answers

Answer:

Hi!

The correct answer is x = 51.

Step-by-step explanation:

By definition the mean formula is:

mean = (x_1 + x_2 + x_3 + ... + x_n)/(n)

where x are the samples of the data set and n the numbers of elements in the set.

In this case:

  • n = 4
  • mean = 11.5

Replacing the data on the general formula:

11.5 = (12.5 - 10 - 7.5 + x)/(4)

Solving the equation step by step,

4 * 11.5 = -5 + x}

46 = -5 + x}

51 = x}