Figure ABCD has vertices A(−2, 3), B(4, 3), C(4, −2), and D(−2, 0). What is the area of figure ABCD?

Answers

Answer 1
Answer:

Answer:

The area of figure ABCD is:

                    24 square units.

Step-by-step explanation:

We see that the given points form the vertices of a trapezium ABCD with bases AD and CB with measure,

AD= 3 units

and CB=5 units

and the height of the trapezium is: AB= 6 units.

Hence, the area of trapezium ABCD is:

Area=(1)/(2)* (AD+CB)* AB\n\n\nArea=(1)/(2)* (3+5)* 6\n\n\nArea=(1)/(2)* 8* 6\n\n\nArea=24

         Hence, the area of figure ABCD is:

           24 square units.


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the number of girls and boys in math class totals 27. how many girls are there if the of girls is 3 more than twice the number boys?

Answers

Answer: 15 girls

Step-by-step explanation:

27 - 3 = 24

24/2 = 12

12 boys

12 + 3 = 15

15 girls

15+ 12 = 27

Answer: 15

Step-by-step explanation: Personally, I would try finding the number of boys first and then subtract the number of total students by the number of boys. To find the boys, you need to subtract three from 27 since those 3 are girls which leaves you with 24. It says there is half the number of boys than girls when you subtract 3 so 24 divided by 2 is 12. The number of boys is 12 so now all you have left to do is subtract 27-12 to find the number of girls, which is 15. I hope this helped you and sorry if it’s really long :)

Please help me solve this question:)​

Answers

Answer:

The answer would be a=2.

Step-by-step explanation:

Since both sides of the equation are being multiplied by b then you would divide both of them by B. This will just remove the B from the equation entirely and leave you with a=2. I hope that this was helpful.

Answer:1.96875

Step-by-step explanation:

If

A=-12/8=-1.5

And

B=-21/16

And if we’re multiplying a and b

Then

A*B=C=1.96875

You finish washing 3/4 of your windows in an hour and a half. At that rate, how much longer will it take you to finish washing all the windows?If you are washing the windows at a rate of 1/4 every 30 minutes, you need only 30 minutes to finish washing the remaining one-fourth.

Answers

It would take about to hours to wash all the windows.
2 hours to finish whole thing

but 1/4 = 30 min

The figure is made up of two identical squares and has a perimeter of 42 inches. What is the area of one square?

Answers

The area of one square is 49 square inches.

What is a square?

A square is a two-dimensional figure and a four-sided polygon which has it's all sides equal in length and the measure of the angles are 90 degrees. The total interior angle is 360 degrees.

For the given situation,

The figure is made up of two identical squares. So it forms a rectangle.

Let width be x then length be 2x.

Perimeter of rectangle = 42 inches

The formula of perimeter of rectangle is

P=2(l+w)

42=2(x+2x)

42=2x+4x

42=6x

x=(42)/(6)

x=7

Thus one side of the square is 7 inches.

So formula of area of square is

Area = (side)^(2)

Area = (7)^(2)

Area = 49

Hence we can conclude that the area of one square is 49 square inches.

Learn more about squares here

brainly.com/question/27776258

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first solve for the perimeter of the rectangle

2w + 2l = 42

since the length of the rectangle is twice as long as the length and width of the square

2w = l

solve using substitution

2w + 2(2w) = 42
2w + 4w = 42
6w = 42
w = 7

are is length x width. a square has the same length and width

7 x 7 = 49

the area of one square is 49

Find the percent of markup. Round to the nearest tenth. $33.00 to $45.00a. 35.6% b. 4.0% c. 12.0% d. 36.4%

Answers

The percentmarkup from $33 to $45 is 36.4%.

Option D is the correct answer.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Initial amount = $33

Final amount = $45

The percentmarkup.

= (45 - 33)/33 x 100

= 12/33 x 100

= 36.4%

Thus,

36.4% is the percentmarkup.

Learn more about percentages here:

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ok so first thing you have to do is to subtract 33 from 45. 45 - 33 = 12 

Then you just have to divide 12 by 33 and you will get 0.36363636......

Multiply this by 100, and then round to the nearest tenth. 36.4% is the final answer.

Help me i have been trying to solve it. plzz

Answers

because completementary angles add up to 180 degrees (angle 3 and angle 4)
and interior angles of a triangle will also add up to 180 degrees

if you compare these two facts, then angle 4 equals the 2 non adjacent interior angles