Two shapes with equal perimeter are pictured below.




What is the measure, in units, of CD¯¯¯¯¯¯¯¯?

Two Shapes With Equal Perimeter Are Pictured Below.What Is The Measure, In Units, Of CD?

Answers

Answer 1

Answer:

Measure of CD = 17 units

Step-by-step explanation:

Perimeter of a polygon = Sum of measures of all sides of the polygon

Perimeter of the given rectangle = 2(length + width)

                                                       = 2[(x + 3) + (2x - 1)]

                                                       = 2(3x + 2) units

Perimeter of triangle EFG = EF + FG + GE

                                           = (x - 7) + (4x - 8) + (3x + 1)

                                           = (8x - 14)

                                           = 2(4x - 7) units

Since, perimeters of both the figures are equal,

2(3x + 2) = 2(4x - 7)

3x + 2 = 4x - 7

4x - 3x = 7 + 2

x = 9

Measure of CD = (2x - 1)

                         = 2(9) - 1

                         = 17 units


Related Questions

Which statement is true? Select all that apply
The relationship is proportional.
The slope is -6.
The slope is negative.
The y-intercept is -3.
The equation of the line is y = -3x.

Answers

1. The relationship is proportional.
2. The slope is negative.
3. The equation is y = -3x

-6x+3y=-7 x-intercept

Answers

Answer:

X=-6 y=3

Step-by-step explanation:

Answer:

7/6

Step-by-step explanation:

-6x+3y=-7

-6x=-3y-7

x=1/2y+7/6

x-int= 7/6

Evaluate each expression if a = 3.45 and b = 15.356.
6. b-a.
7. a + b + 5

Answers

Answer:

11.906

23.806

Step-by-step explanation:

here you go also can you check my account for some lyrics i posted :)

Allison can jog 3 blocks in the same amount of time it takes her brother, Blake, to jog 2 blocks. If they keep jogging at the same rate, how many blocks will Blake jog if Allison jogs 18 blocks?

Answers

Answer:

Blake will jog 12 blocks

Step-by-step explanation:

Allison : Blake = 3 : 2

If they keep jogging at the same rate, how many blocks will Blake jog if Allison jogs 18 blocks?

Allison : Blake = 18 : x

Equate the ratios

3 : 2 = 18 : x

3/2 = 18/x

Cross multiply

3 * x = 2 * 18

3x = 36

Divide both sides by 3

x = 36 / 3

= 12

x = 12

Blake will jog 12 blocks

Answer:

12 blocks

Step-by-step explanation: she ran 12 blocks

Write the first four terms of sequence Rule:start at 28.6, subtract 3.1

Answers

28.6, 25.5, 22.4, 19.3... hope this helps!!

In an asteroid field, 75% of the asteroids are carbonaceous asteroids. There are 375,000 carbonaceous asteroids in the asteroid field. How many asteroids are not carbonaceous? Asteroids are not carbonaceous.

Answers

Given:

In an asteroid field, 75% of the asteroids are carbonaceous asteroids.

There are 375,000 carbonaceous asteroids in the asteroid field.

To find:

The number of asteroids that are not carbonaceous.

Solution:

Let the total number of asteroids be x.

According to question,

[tex]75\%\text{ of }x = 375000[/tex]

[tex]\dfrac{75}{100}x=375000[/tex]

[tex]0.75x=375000[/tex]

Divide both sides by 0.75.

[tex]x=\dfrac{375000}{0.75}[/tex]

[tex]x=500000[/tex]

Asteroids not carbonaceous = Total asteroids - Carbonaceous asteroids

                                                [tex]=500000-375000[/tex]

                                                [tex]=125000[/tex]

Therefore, 125,000 asteroids are not carbonaceous.

If a person walks 1/4 of a mile in 1/8 of an hour. Determine how many miles they are running per hour.

Answers

Answer:

1&1/8 m/h

Step-by-step explanation:

2/8 of a mile = 1/8 of an hour

add 7/1 to both sides thats 1 and 1/8 of a mile in 1 hour

Please help this is due tonight my future depends on it.

PROBLEM:
The cost of a pizza varies directly as the square of its radius. If a pizza with a 1 inch radius costs
$3.25, how much should a pizza with a 6 inch radius cost?

Answers

Answer:19.5

Step-by-step explanation:

3.25x6

Answer:

$19.50

Step-by-step explanation:

3.25*6

=19.50

what is 6 1/2 / 3 1/2? please help me!

Answers

Answer:

1 6/7

Step-by-step explanation:

Answer:

13/7 or 16/7, they are the same, just different ways of writing it.

Step-by-step explanation:

(6 1/2) / (3 1/2)

Convert to an improper fraction

(13/2) / (7/2)

To divide a fraction, find the  reciprocal of the second fraction, and multiply it by the first:

(13/2) * (2/7)

simplfiy

(13/7)

Which is the same as:

1 6/7

The weight y of an object on Mars is proportional to the weight x of the object on Earth. An object that weighs 70 pounds on Earth would weigh 28 pounds on Mars. Write an equation that represents the situation. Then determine how much a boulder that weighs 250 pounds on Mars would weigh on Earth.

An equation that represents the situation is y=

A rock that weighs 250 pounds on Mars would weigh _ pounds on Earth.

Answers

Answer:

625 pounds

Step-by-step explanation:

Given:

Weight on Earth = 70 poundsWeight on Mars = 28 pounds

As per given the proportion is:

y/x = 28/70 ⇔ y/x = 2/5

A rock that weights 250 pounds on Mars would weigh on Earth:

250/x = 2/5x = 250*5/2x = 625 pounds

Find the slope of the line that passes through the points (5,9) and (2,7).

Answers

2/3 is the correct answer for a line passing through the stated coordinates:)

Answer:

-2/3

Step-by-step explanation:

y2-y1 over x2-x1

Which is bigger 9/5 or 9/10

Answers

Answer:

9/10

Step-by-step explanation:

because it is

i need help with this​

Answers

Answer:

ok what here are u meant to do

rise over run 2/6 is the answer

If they instead chose front and back covers of thickness 1/3 of an inch, how would this change the equations in the previous two parts

Answers

Answer:

where is the rest of the question

Step-by-step explanation:

Answer:

y = 1/2 + 1/4*x

Explanation:

Given that the front cover has a thickness of 1/4 an inch and back cover also has a thickness of 1/4 an inch, then, the addition of both gives to the book thickness of 1/4 + 1/4 = 1/2 inch, despite how many pages it has.

Given that for every hundred pages a thickness of 1/4 inch is added to the book, then the equation is:

y = 1/2 + 1/4*x

where y refers to the width of the book, and x refers to every hundred pages printed on bond paper. Y is measured in inches.

Giving BRAINLIEST Select the table that represents a linear function. (Graph them if necessary.)

A.
x 0 1 2 3
y 0 2 5 8

B.
x 0 1 2 3
y 8 6 7 5

C.
x 0 1 2 3
y 10 9 7 4

D.
x 0 1 2 3
y 11 8 5 2

Answers

answer is a because while doing it in graph it seems a straight line

how to describe transformation

Answers

A movement of an object

I need help please ​

Answers

Answer:

1, 2

Step-by-step explanation:

An easy way to find the solution to a system of linear equations is to just replace it with x and y.

1, 2

1+2=3(x+y+3)

2+10=12(2x+5y=12)

Answer:

(1,2)

it's correct answer....be sure it's correct


Car Survey in a survey of 1,800 people who owned a certain type of car, 1,080 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?

Answers

Answer: 60%

Step-by-step explanation:

First you have 1,080 satisfied out of 1,800.

Then you divide 1,080/ 1,800.

When you divide you get .6

Finally move the decimal 2 places to the right and you get 60 which is 60%.

Write the equation 2x - 3y= 6 in slope-intercept form.
y=2/3 x+3
y=2/3 x-2
Y=3/2 x+3

Answers

-3y=6-2x
Divide all numbers by -3
y=2/3x-2
Two negatives divided by each other makes a positive!

I need help with my spanish


Can someone pls help

Answers

Answer:

It finally let me make an answer so here’s the answer:

1) he goes to el heladeria to get more ice cream

2) el banco to get money to pay

4) el mercado to get vegetables

5) el cafe to get more bread

The things you circle in the sentence for the correct verb are

1) comer (eat)

3) beber (drink)

4) usar (use)

5) comer (eat)

6) beber (drink) I hope this helps!

Complete the table of values for this equation:
y= 4x +30
Enter your answer by filling in the boxes.
х
y
3
4
5

Answers

Answer:

x = 1 , y = 34

x = 2 , y =  38

x =  3 , y = 42

x = 4 , y = 46

x = 5 , y = 50

Step-by-step explanation:

The solution for the equation at different values is given below:-

x =  3 , y = 42

x = 4 , y = 46

x = 5 , y = 50

What is a linear equation?

A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that the equation is y= 4x +30. From the table, the value of y at different values of x will be:-

x =  3 , y = ( 4 x 3) + 30 =  12 + 30 = 42

x = 4 , y = ( 4 x 4 ) + 30 = 16 + 30 = 46

x = 5 , y = ( 4 x 5 ) + 30 = 20 + 30 =  50

Therefore, the solution for the equation at different values is at x =  3 , y = 42 then at x = 4 , y = 46 and, at x = 5 , y = 50.

To know more about linear equations follow

https://brainly.com/question/20401690

#SPJ5

A bag contains 36 calculators. This number is 75% of the number of calculators that can fit in the bag. How many calculators can the bag hold when filled?

Answers

Answer:

48

Step-by-step explanation:

Let X represent the total number of the calculator, then we can form an equation from the explanation of the question as

X × 75/100=36

75x=36×100

Making X the subject of the formula we have,

X=3600/75

X=48

Hence, 48 calculators can the bag hold when filled

A 3-gallon jug of orange juice costs $10.44. What is the cost of the orange juice per quart?
A.
$1.07
B.
$0.87
C.
$2.06
D.
$0.98

Answers

Answer:

B. $0.87

Step-by-step explanation:

Divide $10.44 by 12 (how many quarts are in 3 gallons) to get the answer.

A 4-pound bag of charcoal coasts $7.44. what is the unit price?

Answers

Answer: use a calculator or ask for help

Step-by-step explanation:

what is speed of sound in air at 100 degree celcius?​

Answers

Answer:

386m/s is the answer to your question

if X=14 and y=-6 and z=1 find the value





ii- ( x+3)(y-4)(z-9) ​

Answers

Answer:

14 +3 - 17

6-4 = 2

1 -9 = -8

Step-by-step explanation:

Answer:

14+3= 17

6-4= 2

1 -9= -8

Step-by-step explanation:

1.
Marsha’s cat weighs 15.41 pounds. Her bunny only weighs 4.79 pounds. About how much more does her cat weigh?
10 pounds
10.62 pounds
20 pounds
11 pounds

Answers

Answer:

it's about 10, but without rounding it's 10.62

Step-by-step explanation:

Assume that y varies directly with x. If y= 2/5 when x= 1/3, find y when x = 1/4

Answers

Step-by-step explanation:

y1/x1=y2/x2

2/5÷1/3=y÷1/4

y=3/10=0.3

A number divided by 42 has a quotient of 28 with a remainder of 4. What is the number?
O 1,064
o 1,172
O 1,176
O 1,180

Answers

Answer:

D. 1,180

Step-by-step explanation:

Given the following data;

Divisor = 42

Quotient = 28

Remainder = 4

A quotient of 28 simply means that a number divided by 42 would have a value that is equal to 28 without any remainder.

Let the unknown number be X

X = (42*28) + 4

X = 1176 + 4

X = 1180.

Method II

Y/42 = 28

Cross-multiplying, we have;

Y = 28 * 42

Y = 1176

Given that the remainder is 4

X = Y + 4

X = 1176 + 4

X = 1180.

Therefore, the number is 1180.

a truck weighs 9,000 pounds. a repair shop sends a tow truck that can pull 5 tons.can the tow truck tow the truck? explain.

Answers

Yes! A ton is 2000 pounds and the tow truck can pull 5 tons, so you multiply 5 by 2000. That is 10,000 pounds and is more than 9,000 pounds which is how much the truck weighs. So the tow truck can tow the truck

Hope this helps
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