Mathematics Middle School

Find the perimeter and the area of the polygon with the given vertices.

A (12,2), B (12,13), C (15,13), D (15,2)
The perimeter is __ units.

The area is __ square units.

Answers

Answer 1

Answer:

Step-by-step explanation:

As points A and B have same x-coordinate, length of AB will be given by the difference of y-coordinate

AB = 13 - 2 = 11 units

As points C and D have same x-coordinate, length of CD will be given by the difference of y-coordinate

CD = 13 - 2 = 11 units

As points B and C have same y-coordinate, length of BC will be given by the difference of x-coordinate

BC = 15 - 12 = 3 units

As points A and D have same y-coordinate, length of AD will be given by the difference of x-coordinate

AD = 15- 12 = 3 units

AB = CD = 11 units

BC = AD = 3 units

So,ABCD is a rectangle

Area = 11 * 3 = 33 square units

Perimeter = 11+11+3+3 = 28 units

Answer 2

Answer:

Solution :-

At first

Length of AB = 13 - 2 = 11 cm

Length of CD = 13 - 2 = 11 cm

Length of BC = 15 - 12 = 3 cm

Length of AD = 15 - 12 = 3 cm

Now

Perimeter = 11 + 11 + 3 + 3

Perimeter = 22 + 6

Perimeter = 28

Area = 11 × 33 = 33 cm

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Related Questions

Which story context could represent the following expression? Circle your answer. 1 - ¾ x ⅔
a. Noelle has ¾ of a piece of plywood. How many ⅔ portions can Noelle make from the piece of plywood?
b. Bobby spent ¾ of an hour completing homework. Nick spent ⅔ of an hour completing homework. How much time did they both spend on completing homework? c. Hailey ordered a pizza. She ate some of the pizza and had ¾ of the pizza left over. The next day she ate ⅔ of the remaining pizza. How much did she have left?
d. Mark had ¾ of a cup of sugar in a jar. He used ⅔ of a cup of the sugar. How many cups of sugar does he have left?

Answers

Answer:

5*2=12=1- 3/4 x 2/3  your welcome my G

Step-by-step explanation:

-2-3a = -23
pls anwer with steps

Answers

Answer:

Step 1: Simplify both sides of the equation.

−2−3a=−23

−2+−3a=−23

−3a−2=−23

Step 2: Add 2 to both sides.

−3a−2+2=−23+2

−3a=−21

Step 3: Divide both sides by -3.

−3a−3=−21−3

a=7

-3a = -23+2
-3a = -21
a = 7


Place the -2 beside the -23. When you switch sides the negative will change to positive. Then there will be -3a on one side. After you do -23+2 the answer will be -21. -21 divided by -3a will make a = 7

What is 2x - 4x = 1 as a fraction

Answers

Step-by-step explanation:

2x-4x=1

-2x=1

x=-1/2

hope it helps you

The answer is -1/2
So yeah

PLZ HELP

Jades mother said he could go ice skating on the pond if the temperature warmed up to at least 15 *F. When he looked at the thermometer, the temperature was -13 *F. How many degrees does the temperature have to rise before Jaden can go ice skating?

A- 2*

B- 13*

C- 15*

D- 28*

E- 30*

Answers

Answer is D (28)

28°-13°=15°
So it need to rise 28°
Answer D (28) because 28*-(-13*)=15*

please answer in the image below? [the question:] Melanie buys 2 shells for $0.80. Rosi buys 3 shells for $1.20. Carlos buys 4 shells for $1.60. Use the graph to determine whether there is a proportional relationship between the number of shells and their cost. If so, what does the constant of proportionality mean in this situation? Use the drop-down menus to show and explain your answer.

Answers

Answer:

can you bring the image closer

Step-by-step explanation:

which integer is greater, least, or are they equal
0 , -1

Answers

Least!!! Hope this helped
0 is greater -1 is least

A line includes the points (5, 0) and (8, 6). What is its equation in slope-intercept form?

Answers

Answer:

6/3

Step-by-step explanation:

you will subtract y1 by y2 and thats 6

then subtract x1 and x2 and thats 3

so your answer is 6/3 because in this situation y goes over x

Which box plot has the same data as the dot plot?

Answers

pretty sure it’s D

:) :) :) :) :)

Need help with this please

no spam

Answers

Answer:

9/2

Step-by-step explanation:

hope it's correct..,,,,,,,,,

Answer:

a. 9/2

Step-by-step explanation:

72:16

9:2

: ratio can be in a form of fraction as well

Hello!! I need help ASAP I have to turn this in!

Manny collected data on the number of quarters that 13 of his classmates have. Draw a box plot of the data and use it to find the interquartile range and range.

Answers

Answer:

iqr = 3

Step-by-step explanation:

(00122)  (2)  (334455)

q1 = 1              q2=4

subtract q2 from q1

4-1=3

im not sure for range i learnt this in 4th grade and forgot most of it but this is how i learned it

What is the value of x?

Answers

Answer:

x = 39 degrees

Step-by-step explanation:

Input(x) Output(y)

32 20

14 2

? -6

-2 -14

-10 ?

Complete the function table and write the function rule.
pls help

Answers

6 and -24
The function rule is -12 because it subtracts 12 each time
6 and -24 is the answer sorry if wrong

Can u plsss help its just box plots :)))))

Answers

Answer:

The median is 22

Answer: 22

Step-by-step explanation:

The line in the middle of the rectangle in the box plot represents the median. That line is at 22 on the number line below it.

The following table shows the data collected from a random sample of 100 middle school students on the number of hours they do household chores every week:

Weekly Duration of Household Chores

Time (in hours) 0–1 2–3 4–5 6–7
Number of Students 32 64 3 1


There are 1,500 students in the school. Based on the sample proportion, how many students in the school would be expected to do household chores for at least two hours every week?

A: 480
B: 960
C: 1,020
D: 1,440

PLS DONT ANSWER WITH A LINK! :) My answer ended of being 1,020 but I dont think its right pls help

Answers

Answer:

1020 students

Step-by-step explanation:

the key word is at least, this means anything under that number will not qualify. So that leaves 68 out of the 100 sample students. So if you want to have the same thing but with 1,500 students. Take off the 2 zeros at the end of 1500 and multiply by 68 getting your answer. This is because there is 2 zeros in 100, so to cancel out the 2 zeros in 100, just take out the 2 zeros in 1500 making it a lot easier.

The students in the school would be expected to do household chores for at least two hours every week with 1020 students.

We have given

Time (in hours)                  0–  1    2–3     4–5    6–7

Number of Students           32    64           3        1

What is the random sample?

A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.

The keyword is at least, this means anything under that number will not qualify.

So that leaves 68 out of the 100 sample students.

So if you want to have the same thing but with 1,500 students.

Take off the 2 zeros at the end of 1500 and multiply by 68 getting your answer.

This is because there is 2 zeros in 100, so to cancel out the 2 zeros in 100, just take out the 2 zeros in 1500 making it a lot easier.

A circle has a diameter of 8. What is the area in terms of π?

I need the answer asap

Answers

Answer:

50.24²

Step-by-step explanation:

Okay, so the formula for the area of a circle is π x radius² and we're just going to use 3.14 for π so:

We first have to find the radius, the radius is half the diameter:

8 ÷ 2 = 4

So 4 is our radius

4² = 16

3.14 x 16 = 50.24

So, the area of the circle is 50.24²

hope this helps:)

Area is approximately 50.27

Formulas:
A=pi r^2
D=2 r

When solving for A:

A=1/4pi d^2 = 1/4*pi*8^2 which is approximately 50.26548


ANSWER: approximately 50.27

The owner of a small restaurant bought 75 kilograms of rice. Each week, the restaurant uses 4.5 kilograms of rice.



Function `r` gives the remaining amount of rice, in kilograms, as a function of the number of weeks since the restaurant owner bought the rice.



Complete the table and sketch a graph of function `r`.

Answers

Answer:

6 weeks 27kilo

12 weeks 54 kilo

Step-by-step explanation:

4.5*12=54

4.5*6=27

4+35x+52X

Find x and the value

Answers

Answer: 4+87x

Step-by-step explanation:

4+35+52

Combine like terms

4+35x+52x

4+87x

rearrange terms

=4+87x

4+35x+52x
^
35x + 52x = 87x


finally answer: 4+87x

PLEASE HELP

SOLVE BY GRAPHING SHOW YOUR WORK

Answers

The answers. Do you know how to graph

A swimming pool is in the shape of a right rectangular prism. If the pool is 9 ½ yards long, 7 ⅖ yards wide, and 8 yards deep, what is the volume of the swimming pool?

Answers

The answer is: 562.4
The volume of a rectangle can be found by doing length*width*height
Or
9.5*7.4*8 which equals 562.4

Answer:

3 yards long and 2 4/5 yards wide and 1 2/5 yards tall

Step-by-step explanation:

help this is due TODAY! i have to show my work. PLEASE HELP

Answers

Answer:

Angle A = 48

Step-by-step explanation:

The steps are in this order

1. (3y+22) + (4y) = 106

2. 7y +22 = 106

3. 7y = 84

4. y = 12

Then check the answer

5. 4(12) =

6. 48

7. 3(12) + 22

8. 36 + 22

9. 58

10. 58 + 48 = 106

The chart below shows the number of fish caught at different water depths by a group of friends.


Water Depth (feet)_____ Number of Fish 0-6

0-6 _______________________3

6-12 ______________________8

12-18 _____________________6

18-24____________________ 13

24-30____________________ 4


Which histogram best represents this data?

Answers

Answer:

you forgot the charts but the answer is the picture below because it is the exact same as the chart!

I'm gonna give 25 points if you can help me with the 6 questions

1.What is the solution for 4x−2<14 ?

2.What is the solution for 6− x/5 >9

3.What is a solution for 6> a/3 +4 ?

3.What is the solution for −3+ 4x >5 ?

4.What is the solution for 13− x/2 >−3 ?

5..What is the solution for −28 +14r <896 ?

6..What is the solution for −6m+ (−4) ≥14 ?

Answers

Answer:

1. x<4

2.x<-15

3.a<6

4.x<32

5.r<66

6.m≤-3  

NO LINKS I WILL REPORT AND PLZ DON'T ANSWER IF YOU DON'T KNOW HOW TO DO IT NEED HELP FAST PLEASE ------
Sara wants to carpet the family room. How many square feet of carpet does she need?

Answers

Answer:

128

Step-by-step explanation:

(13*12)-(7*4)=128

Answer:

Someone deleted my answer? Just need some points real quick. The answers are above, or below this answer. So, yeah, ima go...

Step-by-step explanation:

if you answer correctly ill mark you brainlist or id k wut its called but yall ask for it Imao

Answers

About 52.86 but the full answer is 52.8571428571

Answer:

52.86

Step-by-step explanation:

Please help
The question is on Mathamatics

Answers

Answer:

A
(The probability of randomly selecting a picture that shows Justin with his friends is greater than the probability of randomly selecting a picture that shows Justin with his family.)

Answer: A. See if this helps.

Step-by-step explanation: 30/2=15 (How many pictures Justin is in with his friends)

12/6=2 (How many pictures Justin is in with his family.)

15+2=17

17/50=0.34 or 34% So we 2/50 is 4% and 15/50 is 30%

Cross out: B, D, C

15/50=30%&2/50=4%

30%>4%

HELP!!! if u can see the ss

Answers

Answer:

cant see

Step-by-step explanation:

sorry

-4(7 + v) = 28
pls help me step by step how to do it. :)

Answers

Answer:

-14

Step-by-step explanation:

-4(7 + v) = 28

expand

-4*7 + -4*v =28

group like terms

-28 -4v= 28

-4v=28+28

-4v=56

v=-56/4

v= -14

Jus tell me the answer dont put no links

Answers

Answer:

I think blue

Step-by-step explanation:

8100 feet, i’m pretty sure

Find the price after tax for a $940 iPhone with a NJ sales tax of 6.625%.

Answers

Answer:

$1002.27

Step-by-step explanation:

940×6.625%= $62.27

$940+$62.27= $1002.27

According to the line plot, how many apples weigh 5/8 of a pound?

Answers

Answer:

4 apples weigh 5/8 pound

Answer:

4

Step-by-step explanation:

there are 4 x that means 4

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