The perimeter of a parallelogram is 88 cm and one of its adjacent sides is longer
than the other by 10 cm. Find the length of each of its sides.​

Answers

Answer 1

Answer:

sides are 17 cm and 27 cm

Step-by-step explanation:

let the side be x then the adjacent side is x + 10

The perimeter is then

x + x + x + 10 + x + 10 = 88, that is

4x + 20 = 88 ( subtract 20 from both sides )

4x = 68 ( divide both sides by 4 )

x = 17

and x + 10 = 17 + 10 = 27

The sides of the parallelogram are 17 cm and 27 cm


Related Questions

Transformations. please help !

Answers

Answer:

A

Step-by-step explanation:

Here, we want to determine the equation based on the given transformation rules

dilation by a factor of 3 from the y axis

That would firstly be;

y = (3x)^2/3

Translation of 5 units on negative x

y = 3(x-5)^2/3

2 units in the positive y direction

That would be;

y = (3(x-5))^2/3 + 2

option A is correct

A triangle, a square, and a circle lie in the same plane. What is the maximum possible number of intersections points that can occur?
PLEASE HELP ME NOW! IM FREAKING OUT I REALLY NEED AN ANSWER!!!

Answers

Answer:

The maximum possible is 20 intersections.

Step-by-step explanation:

50 points and BRAINLIST

Answers

Step-by-step explanation:

The answer is 10 percent

Step-by-step explanation:

10% is the answer of this questions

What formula would you write for this line?

Answers

Answer:

i was able to get y = 1.3x - 2

y=1.3x -2 is the answer

please help me fr im struggling

Answers

Answer:

x = 3

m<PAW = 1

Step-by-step explanation:

☆They are supplementary angles.

☆Supplementary angles equal 180 degrees.

[tex] - 11x + 17 3 - 1x + 43 = 180 \\ - 12x + 216 = 180 \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: - 216 = - 216}{ \frac{ - 12x}{ - 12} = \frac{ - 36}{ - 12} } \\ x = 3[/tex]

☆Plug in for m<AEZ

[tex] - 1(3) + 4 \\ - 3 + 4 \\ 1[/tex]

☆m<PAW is corresponding to m<AEZ

☆Corresponding angles are congruent.

☆m<PAW equals 1.

If the lengths of the sides of a
Switzerland flag are 10 ft, what is the area of the flag?

Answers

If all sides are 10 ft then 10 x 10 = 100sqf

HELP ASAP PLEASE!!
what is the distance (in units) between points C and D? round your answer to the nearest hundredth.

1) 4.54 units
2) 5.00 units
3) 5.83 units
4) 34.00 units

Answers

Answer:

2

Step-by-step explanation:

It’s 5, just count the numbers lol

An equiangular triangle has one angle of measure 2x+8. What is x?

Answers

Answer:

[tex]x=26\\[/tex]

Step-by-step explanation:

The sum of the interior angles of a triangle add up to [tex]180^{\circ}[/tex]. Therefore, an equiangular triangle will have each of its angles equal to [tex]60^{\circ}}[/tex]. We can then set up the following equation:

[tex]2x+8=60, \\2x=52, \\x=\fbox{$26$}[/tex].

Answer: x=10

Step-by-step explanation:

Find the 7th term of the following arithmetic sequence. a1 = -12, d = 2

Answers

Answer:

The 7th term is 0

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are identified because every term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

[tex]a_n=a_1+(n-1)d[/tex]

Where

an = nth term

a1 = first term

d   = common difference

n  = number of the term

We are given the first term a1=-12 and the common difference d=2. Let's find the 7th term (n=7):

[tex]a_7=-12+(7-1)2[/tex]

[tex]a_7=-12+12=0[/tex]

The 7th term is 0

Find the unknown side length. Write your answer in simplest radical form.

Answers

Answer: 1. x= 20 units,   2. x= [tex]5\sqrt{3}[/tex] units    3. x= [tex]4\sqrt{2}[/tex] units.

Step-by-step explanation:

In a right triangle,

[tex]Hypotenuse^2= Perpendicular^2+Base^2[/tex]  (Pythagoras theorem)

1. Hypotenuse = x , Base = 16, Perpendicular = 12

[tex]\Rightarrow\ x^2 =12^2+16^2\\\\ \Rightarrow\ x^2=144+256\\\\ \Rightarrow\ x^2=400\\\\ \Rightarrow\ x=\sqrt{400}=20[/tex]

2. Hypotenuse = 14 , Base = 11, Perpendicular = x

[tex]\Rightarrow\ 14^2=x^2+11^2\\\\\Rightarrow\ 196=x^2+121\\\\\Rightarrow\ x^2=196-121\\\\\Rightarrow\ x^2 = 75\\\\\Rightarrow\ x=\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}[/tex]

3.  Hypotenuse = 9 , Base = x, Perpendicular =7

[tex]\Rightarrow\ 9^2=x^2+7^2\\\\\Rightarrow\ 81= x^2+49\\\\\Rightarrow\ x^2=81-49\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=\sqrt{32}=\sqrt{16\times2}\\\\\Rightarrow\ x=4\sqrt{2}[/tex]

i need help with this can you show me some work so i can do it by my self after

Answers

Answer:

Step-by-step explanation:

1) √36 = 6

2) ^3 √8 = 2

3) ^3 √64 = 4

Factor -45x - 18 using the greatest common factor. Do not use spaces in your answer

Answers

Answer:
-9(5x+2)

Step by step explanation:

Bill scored 80, 82, 78, and 100 on his first four math tests. What will Bill have to score on his fifth math test in order to maintain his current average ?

Answers

Answer:

85

Step-by-step explanation:

Answer:

85

Step-by-step explanation:

Bill would have to get the same grade as his average of his prior grades. Because those average to 85.

PLEASE CAN SOMEONE HELP ME???

Answers

Answer:

-8,4 and 4,-5

Step-by-step explanation:

Please help me I really need help the picture is above.

Answers

Answer:

Quick

Step-by-step explanation:

Solve for Y


-6x-2y+8

Answers

Step-by-step explanation:

-6x-2y+8

-6x -6x

÷-2 (-2y=-6x+8)

3x=-4

x= 3x

y= -4

y=-4-3x

This year, students in the 9th grade are collecting dimes and quarters for a school fundraiser. They are trying to collect more money than the students who were in the 9th grade last year. The students in 9th grade last year collected $143.88. Using LaTeX: dd to represent the number of dimes collected and LaTeX: qq to represent the number of quarters, which statement best represents this situation? Group of answer choices LaTeX: 0.25d + 0.1q \geq 143.880.25 d + 0.1 q ≥ 143.88 LaTeX: 0.25q + 0.1d \geq 143.880.25 q + 0.1 d ≥ 143.88 LaTeX: 0.25d + 0.1q > 143.880.25 d + 0.1 q > 143.88 LaTeX: 0.25q + 0.1d > 143.88

Answers

Answer:

[tex]0.10d + 0.25q > 143.88[/tex]

Step-by-step explanation:

Let the total dimes collected be d.

[tex]1\ dime = \$0.10[/tex]

[tex]d\ dimes = \$0.10d[/tex]

Let the total quarters collected be q.

[tex]1\ quarter = \$0.25[/tex]

[tex]q\ quarters = \$0.25q[/tex]

[tex]Last\ Year = \$143.88[/tex]

Required

Represent as an inequality

The total collection, this year, can be represented as:

[tex]Total = 0.10d + 0.25q[/tex]

From the question, we understand that:

This year's collections is expected to be greater than last year's

This can be represented as:

[tex]Total > Last\ Year[/tex]

Substitute in the right values:

[tex]0.10d + 0.25q > 143.88[/tex]

I really don’t get this math how am i supposed to figure out which side is which?

Answers

Answer:

u can use "a squared + b squared = c squared"

in this case the two legs are 10 and 24 because they are near the right angle. the hypotenuse is always across from the right angle, so it's the long side that connects the two legs. Now you can plug in 10 and 24 for the pythagorean theorem and solve for the hypotenuse. that would be 10 squared plus 24 squared equal to c squared.

Answer:

26

Step-by-step explanation:

You would use the Pythagorean theorem to solve for the last side.

Pythagorean theorem- a^2+b^2=c^2

a and b =sides

c=hypotenuse

Since you are finding the hypotenuse(c), you don't have to rearrange the formula

plug in a and b.

10^2+24^2=c^2

solve

100+576=c^2

676=c^2

do the square root of 676 to get rid of the c^2

26=c

Select ALL that apply.​

Answers

Answer:

your picture is not loading for me

The slope is -4 so A, B, D is not the answer
The answer is C and E

Population density is the number of people per unit of area. The population density of a certain region is 50 people per square kilometer. If the region covers 25 square​ kilometers, what is the population of the​ region?

Answers

Answer:

1250 people

Step-by-step explanation:

Population density = total population / land area

Population density = 50

total population = x

land area 25

50 = x / 25

x = total population = 50 x 25 = 1250 people

~ Hi ~ wonderful ~ people! ~ Can ~ you ~ please ~ help ~ me ~ on ~ this ~ question? ~

Answers

Answer:

49π ft²

Step-by-step explanation:

The area for a circle is A=πr² (Area=pi times radius squared)

and d=2r (diameter = 2 times the radius)

So, if we want to find area using the radius, we can get rearrange the equation d=2r to get r= d/2

r=d/2

r=14/2

r=7 ft

Then we can plug that answer into the area equation.

A=π×7²

7 squared is 49 so

A=49π ft²

PLEAS HELP I WILL GIVE 10 POINTS
ou are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.

The following payroll deductions were taken from your gross pay:

Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.

You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.

check stub

The amount for SOCIAL SECURITY TAX for this pay period was $

Answers

Answer:

292.32

Step-by-step explanation:

i took 9.75 times 30 and then minus 10% minus 6.2% and minus 1.45% and got that answer

Can someone help with this to?

Answers

Answer:

6 x

Step-by-step explanation:

because 1 times 6 then 2 then 3 and so on

What is the constant of proportionality in the equation y = 5/3x?

Answers

Answer:

x = 98

Step-by-step explanation:

Help me fast and you get 10 points

Answers

Answer:

The percent of discount is 35%

Step-by-step explanation:

please help will give brainliest

Answers

Answer:

C

Step-by-step explanation:

AE = 14.6 I think. If I'm wrong, use whatever number it is.

Sin(x) = 5/14.6

Sin(x) = 0.3425

x = Sin-1 (0.3425)

x =20.03

Now the other larger triangle has an acute angle of 90 -20.03 =  69.97

===================

Cos(69.97) = 13.1/DE

DE = 13.1/cos(69.97)

DE = 38.25

Help please due now!

Answers

Answer:

90

Step-by-step explanation:

x•y-z²

x=9,y=14,z=6

9 • 14 - 6²

126-36=90

Does this table represent a proportional relationship?

Yes
No

Answers

no

the table does not represent a proportional relationship.

solve 100+0.05p=0.25p

Answers

Answer:

p=500

Step-by-step explanation:

The value of p is 500 in the equation  100+0.05p=0.25p.

What is an equation?

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

The equation,

100+0.05p=0.25p

To solve the equation:

Simplify the equation,

100 = 0.25p - 0.05p

0.20p = 100

p = 100/0.20

p = 500

Therefore, 500 is the value of p.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ6

What should you do when you see an animal on the road in front of your car?

Answers

Answer:

it depends. If you are driving really fast then hit it. Your life matters more than the animal. But if you are driving slow, then try to stop as long as there isn't anyone behind you.

Step-by-step explanation:

NEVER SWERVE OFF THE ROAD

Answer: Grab a towel or a piece of clothing and wrap it around the animal to protect it from harmful virus’s and diseases we might transmit to them. Then walk 30 feet away from the road and carefully place the animal on flat ground.

Step-by-step explanation: Hope this helps! Btw, I found this from an instructional video I found. So I don’t take any credit. ;)

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