The perimeter of the rectangle below is
118 units. Find the length of side AB



.

The Perimeter Of The Rectangle Below Is118 Units. Find The Length Of Side AB.

Answers

Answer 1

This a question about perimeter and equation, let's see how to solve that:

The perimeter of a rectangle is the sum of its 4 sides. In this case, we know that the perimeter is 118. We can do an equation with these datas:

[tex]\boxed{AB + BC + CD + DA = 118}[/tex]

We also know other informations: the side AB is equal to [tex]4y+3[/tex] and de side BC is equal to 3y. In a recltangle, parallels sides have the same value. So, the side CD is equal to [tex]4y+3[/tex] and the side DA is equal to 3y.

Now, we have these datas:

[tex]AB + BC + CD + DA = 118\\\\AB = CD = 4y + 3\\BC = DA = 3y[/tex]

Let's do and solve an equation:

[tex]AB + BC + CD + DA = 118\\\\4y+3 + 3y + 4y+3 + 3y = 118\\14y + 6 = 118\\14y = 118 - 6\\14y = 112\\y = \frac{112}{14} \\y = 8[/tex]

So, the value of y is 8. Let's replace the value of y in the side AB:

[tex]4y + 3\\4\times 8 + 3 = 35[/tex]

Therefore, the length of side AB is 35.


Related Questions

If anybody remembers and knows how to do this plz answer all the questions correctly thx!
Just fractions :)
(WILL MARK AS BRAINLIESTTT) promise!

Answers

Answer:

4. 1/4 5. 5/6 6. 2/3 7. 3/4 8. 9/10 9. 6/7

Step-by-step explanation:

I'm pretty sure its right

Answer:

4) 3/12, 1/12. (3/12 is larger)

5) 25/30, 18/30 (25/30 is larger)

6) 6/21, 14/21 (14/21 is larger)

7) 15/20, 4/20 (15/20 is larger)

8) 81/90, 80/90 (81/90 is larger)

9) 66/77, 63/77 (66/77 is larger)

6 = −2(x + 5) + 2
SOLVE ... GET BRAINLYYY

Answers

Answer:

x=-7

Step-by-step explanation:

Answer:

x= -7

Step-by-step explanation:

6= -2(x+5)+2

6= -2x-10+2

6= -2x-8

14/-2= -2x/-2

-7=x

Your quiz grades are 73, 75, 89, and 91. What is the lowest grade you can obtain and still achieve an average of at least 85?

Answers

The answer is 99 because 73+75+89+91+99=427, 427 divided by 5 equals 85.4

A=1/2h(a+b)
what is h

Answers

Answer:

[tex] h = \frac{2 A}{(a + b)}[/tex]

Step-by-step explanation:

[tex]A = \frac{1}{2} h(a + b) \\ \\2 A = h(a + b) \\ \\ \frac{2 A}{(a + b)} = h \\ \\ \huge \red{ \boxed{h = \frac{2 A}{(a + b)} }}[/tex]

m∠1 = (2x + 13)° and m∠2 = (8x - 43)°. What is m∠1 ?

Answers

Answer:

[tex]\boxed {\angle 1 = 45\textdegree}[/tex]

Step-by-step explanation:

First you need to write an expression by using the following equations from both [tex]\angle 1[/tex] and [tex]\angle 2[/tex] and solve for [tex]x[/tex]:

[tex]\angle 1 = 2x + 13[/tex]

[tex]\angle 2 = 8x - 83[/tex]

[tex]2x + 13 = 8x - 83[/tex]

-Solve:

[tex]2x + 13 = 8x - 83[/tex]

[tex]2x + 13 - 8x = 8x - 8x - 83[/tex]

[tex]-6x + 13 = -83[/tex]

[tex]-6x + 13 - 13 = -83 - 13[/tex]

[tex]-6x = -96[/tex]

[tex]\frac{-6x}{-6} = \frac{-96}{-6}[/tex]

[tex]x = 16[/tex]

After you have found the value of [tex]x[/tex], you need to apply the value of [tex]x[/tex] to the equation of [tex]\angle 1[/tex] and solve for the measurement of [tex]\angle 1[/tex]:

-The value of [tex]x[/tex]:

[tex]x = 16[/tex]

-Solve for the measurement of [tex]\angle 1[/tex]:

[tex]2x + 13[/tex]

[tex]2(16) + 13[/tex]

[tex]32 + 13[/tex]

[tex]45\textdegree[/tex]

-The measurement of [tex]\angle 1[/tex]:

[tex]\boxed {\angle 1 = 45\textdegree}[/tex]

The graph below shows the relationship between time and distance traveled by a race car moving at a constant rate and at its maximum speed. How long did it take the race car to travel 480 miles? Race Car Data Distance (miles) 800 700 600 500 400 300 200 100 0 0.5 1.5 2.5 3.5 4.5 5.5 6.5 Time (hours).​

Answers

Step-by-step explanation:

From the table we can make comparison between the distance travelled and the time taken. It can be seen that the time increases as the distance decrease.

If the car travels 700 miles in 0.5seconds and 600miles in 1.5secs, we can calculate the speed of the car using the formula;

v = change in distance/change in time

v = ΔS/Δt

v = 700-600/0.5-1.5

v = 100/-1

v = -100mi/hr

Since Speed = Distance/Time

-100 = 480/Time

Time = 480/-100

Time = -4.8s

Hence it will take the car 4.8seconds to travel 480miles.

28/9 as a mixed number

Answers

Answer:

3 1/9

Step-by-step explanation:

28/9=

9*3=27 r1

3 1/9

Answer: 3 1/9  

Step-by-step explanation:

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 28 by 9 and keep only what is to the left of the decimal point:  28 / 9 = 3.1111 = 3

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.  28 - (9 x 3) = 1

Step 3 - Get Solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer.

Please help!!! :)))))

Answers

Answer:

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle. ... A central angle is any angle whose vertex is located at the center of a circle.

Step-by-step explanation:

9. Inscribed

10. Central

11.  Central

12.  Inscribed

13.  Central

14. Inscribed

Hope this helped! ; )

Answer:

Any angle with O as the vertex is a central angle. Any angle with any other letter in the center of the angle is inscribed.

Step-by-step explanation:

Jason says that 10 less than one third of his age is 11 years old. How old is Jason?

Answers

Answer:

63

Step-by-step explanation:

Jason age will be 63 years.

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

The condition is given as;

'' Jason says that 10 less than one third of his age is 11 years old. ''

Now,

Let age of Jason = x years

Then, By the given condition we formulate;

1/3 x - 10 = 11

Solve for x as;

1/3 x - 10 = 11

Add 10 both side;

1/3 x - 10 + 10 = 11 + 10

1/3 x = 21

Multiply by 3;

x = 63

Thus, Jason age will be 63 years.

Learn more about the expression visit:

https://brainly.com/question/26430239

#SPJ5

Triangle EFG has vertices E(-3, 1), F(1, 1), and G(4, 5). Find the coordinates of the image of point F
after a reflection across the x-axis.
O (1,1)
None of the other answers are correct
O (1,-1)
o (-1, -1)
O (-1,1)

Answers

Answer:

(1,-1)

Step-by-step explanation:

if its asking for a reflection on the x-axis, change the y's to the opposite of what it is.

Example, (5,6) change it to (5,-6)

its the same thing for the reflection on the y-axis

(7,-8) change it to (-7,-8)

parallel lines r and s are cut by two transversals, parallel lines t and u. Which angles are corresponding angles with angle 8?

Answers

Option A is correct answer

Answer: Option A

(A)  <4 and <12

Step-by-step explanation:

need help on maths homework
Thanks to anyone who can help me on this

Answers

Answer:

331.705 I believe

Step-by-step explanation:

You just move the decimal point as many times as it is moved in the first problem. So 1793 to 1.793 means you moved the decimal to the left 3 times.

PLEASE HELP!!!!.......​

Answers

the answer is 130 becuase you do 13•5 then divide it by 2 cause it’s a triangle then you multiply it by 4 since it’s 4 triangles

-2(4ab+3-4c) Use the distributive property to rewrite the expression above​

Answers

Answer:

-8ab-6+26

Step-by-step explanation:

-2(4ab+3-4c)

-2(4ab) = -8ab

-2(3) = -6

-2(-4c)= 2c

Combine:

-8ab-6+26

Can somebody who knows how to do this answer both correctly thx!!!!
(Will mark as brainliest)
:D

Answers

Answer:

11) 1 3/8

12) 17/18

Step-by-step explanation:

There are roses in a vase of flowers. The rest are daisies. (a) What is the ratio of roses to daisies? (b) What is the ratio of daisies to all flowers in the vase?

Answers

Answer:

need more info how many roses are there and how many daises are there?

Step-by-step explanation:


hi i need help really bad

Answers

Answer: 7

Step-by-step explanation:

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

The answer is 7 if im correct

The product of a number x minus 5 and three less than twice x.
What is the value of the expression when x=4?

Answers

Answer:

REEEEE ( i had to answer bc every time i refresh it brings me to this -_- sorry :(

Step-by-step explanation:

At the same rate, how many miles did she bike in the next 15 minutes?

Answers

Distance = speed* time
D= constant rate *1/4 miles/hour

A half-marathon 13 miles, how many kilometers is that?

Answers

Answer:

20.921

Step-by-step explanation:

I looked it up

It would be 20.921 kilos

The school that Danielle goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 10 adult tickets and 13 student tickets for a total of $234. The school took in $97 on the second day by selling 5 adult tickets and 4 student tickets. What is the price each of one adult ticket and one student ticket?

Answers

Answer:

Price of Adult tickets =$ 13

Price of student tickets =$ 8

Step-by-step explanation:

Lets us represent the price of adult tickets = x

The price of student tickets = y

On the first day of ticket sales the school sold 10 adult tickets and 13 student tickets for a total of $234.

= 10 × x + 13 × y = $234

= 10x + 13 y = 234

The school took in $97 on the second day by selling 5 adult tickets and 4 student tickets.

5 × x + 4 × y = $97

= 5x + 4y = 97

Hence:

10x + 13y = 234......Equation 1

5x + 4y = 97......... Equation 2

We solve by elimination method

Multiply the equation 1 by 5 and equation 2 by 10 which are the coefficient of x

10x + 13y = 234......Equation 1 × 5

5x + 4y = 97......... Equation 2 × 10

50x + 65y = 1170......Equation 3

50x + 40y = 970..... Equation 4

Subtract Equation 4 from Equation 3

25y = 200

y = 200/25

y = 8

Therefore the price of student ticket = $8

Note that

5x + 4y = 97......... Equation 2

5x + 4 × 8 = 97

5x = 97 + 32

5x = 65

x = 65/5

x = 13

Therefore price of adult tickets = $13

which pair of sides in this shape are parallel? please answer:(

Answers

Answer: R S and P T

They both are parrelell to each other.

Answer:

PT RS

Step-by-step explanation:

Parellel is 2 lines that will continue forevever and ever with out crossing eachother.

7.2 divided by 42.12

Answers

Answer:

0.170940171

Step-by-step explanation:

The required divide of 7.2 divided by 42.12 is 0.170940171 which is none terminating recurring decimal.

Given that,
To evaluate the solution of the numeral 7.2 divided by 42.12.

What is a recurring decimal?

A recurring Decimal is defined as also named repeating decimal, is a decimal number that only consists of repeating digits after a certain interval after the decimal. For example, 94.642642642..., 213.569569... etc.

Here,
According to the question,
7.2 / 42.12 = 0.170940171
Which is a recurring decimal.

Thus, the required divide of 7.2 divided by 42.12 is 0.170940171 which is none terminating recurring decimal.

For more information about recurring decimals check it out here:

brainly.com/question/820308

#SPJ2


9 and 10 ?????pleaseee

Answers

Multiply

Step-by-step explanation:

Take all the numbers and multiply

What are the leading coefficient and degree of the polynomial

6x^2-10+18x^3+x

Answers

Answer:

Leading coefficient: 18

Degree:3

Step-by-step explanation:

3 is the highest degree, and when put in order of degrees, 18 is the leading coefficient.

the ratio of children to teachers at a preschool is 14:5. How many children are at the preschool if there are 30 teachers

Answers

Answer:

84

Step-by-step explanation:

5*6=30

14*6=84

If you need further explanation just tell me :D

Arabica coffee costs $28 per pound and Robusta coffee
costs $8.75 per pound. How many pounds of Arabica coffee
must you mix with 3 pounds of Robusta coffee to make a
blend that costs $15.50 per pound?

Answers

Answer:

1.62 pounds

Step-by-step explanation:

Let x be the pounds of Arabica

Take the number of pounds times the cost of each of the coffees individually

This must be equal to the number of pounds times the cost together

x * 28 + 8.75 *3 = ( x+3) 15.50

28x+26.25=(x+3)15.50

Distribute

28x+ 26.25 = 15.50x + 46.50

Subtract 15.50x from each side

28x-15.50x +26.25 = 15.50x +46.50-15.50x

12.50x + 26.25 = 46.50

Subtract 26.25 from each side

12.50x +26.25-26.25 = 46.50-26.25

12.50x = 20.25

Divide each side by 12.5

12.5x/12.5 = 20.25/12.5

x =1.62

Answer:

I think its 1.62 pounds

For weeding the garden Eugene was given
$8. Now he has $38. How much money did
he have before?

Answers

Answer:

$30

Step-by-step explanation:

$38-$8=$30

Answer: 30

Since Eugene just got $8, and the question is asking how much he had before that, we have to subtract 8 from 38.

38 - 8 = 30

So, the answer is 30. Hope this helps!

What is 127 estimated to the nearest whole

Answers

Answer:

130

Step-by-step explanation:

Answer:

130

127 is above 125 therefor it is 130 rounded to the nearest tenth.

2x + y - Z= 17
Find z, when x=10 and y=2.
(Hint: Substitute, simplify, and solve)
helpppp !

Answers

Answer:

hi so the answer is onsline find it there plz

Answer:

therefore z is 5

Step-by-step explanation:

2x+y- Z=17

2(10)+2-Z=17

20+2 -Z=17

22-Z =17

22-17=Z

5=Z

Z=5

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