the length of one side of a parallelogram is two over three times the length of its adjacent side if perimeter of the parallelogram is 20 cm find the sides of the parallelogram​

Answers

Answer 1

Answer:

[tex]A = 4[/tex]

[tex]B = 6[/tex]

Step-by-step explanation:

Let the two sides be A and B, such that:

[tex]A = \frac{2}{3} * B[/tex]

[tex]Perimeter = 20cm[/tex]

Required

Find A and B

The perimeter is calculated as:

[tex]Perimeter = 2 * (A + B)[/tex]

Substitute [tex]\frac{2}{3} * B[/tex] for A and 20 for Perimeter

[tex]20 = 2 * (\frac{2}{3} * B + B)[/tex]

[tex]20 = 2 * (\frac{2B}{3} + B)[/tex]

Divide both sides by 2

[tex]10 = \frac{2B}{3} + B[/tex]

Multiply both sides by 3

[tex]3 * 10 = 3 * (\frac{2B}{3} + B)[/tex]

[tex]30 = 2B + 3B[/tex]

[tex]30 = 5B[/tex]

Solve for B

[tex]B = \frac{30}{5}[/tex]

[tex]B = 6[/tex]

Recall that:

[tex]A = \frac{2}{3} * B[/tex]

[tex]A = \frac{2}{3} * 6[/tex]

[tex]A = 2 * 2[/tex]

[tex]A = 4[/tex]

Hence, the lengths of the sides are 4 cm and 6 cm


Related Questions

HELPPP

Omar has a 5-inch copper pile that he needs to cut into 1/2 inch pieces. how many pieces will have after he finishes cutting?

Answers

Your answer is 10 pieces

Please can someone help?????

Answers

Answer:

I would say FD

Step-by-step explanation:

If you were to rotate the smaller triangle so that F was at the top, triangle EFD is exactly triangle PQR but smaller in size

Solve for v
-9/8=v-1/2

Answers

Answer:asdasdas

Step-by-step explanation:

sadassadsa

Pls helppppppppoppppppp

Answers

Answer:

H. 3[tex]\frac{3}{4}[/tex]feet

Step-by-step explanation:

Length of scale drawing = [tex]\frac{3}{12}[/tex] × 15feet

                                        = 3[tex]\frac{3}{4}[/tex]feet

A plumber had a pipe that was
2
yards
2 yards2, start text, space, y, a, r, d, s, end text long. He cut
18
inches
18 inches18, start text, space, i, n, c, h, e, s, end text off the end of the pipe.
How many feet long was the pipe after the plumber cut it?

Answers

Answer:

2 yards is= to 6 feet

6 feet - 1.5 feet = 4.5 feet of pipe left

Step-by-step explanation:

next time, fix the question after you copy and paste it so it doesn't look as messed up

Answer:

I need points

Step-by-step explanation:

Srry for not knowing the answer but at least you'll get something intresting to look at...

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How many electrons are in the nucleus of an atom with an atomic number of 7?

Answers

There are only 5 in the nucleus of an atom

ANSWER IT PLSSS!!!!!!!!!!!!

Answers

Answer:

168.75

Step-by-step explanation:

Answer:

C. 168.75 [tex]cm^{3}[/tex]

Step-by-step explanation:

[tex]\frac{1}{3}\pi r^{2}h[/tex] the formula for calculating a cone

[tex]7.5^{2}[/tex]=56.25

56.25*9=506.25

506.25*1/3=168.75[tex]\pi[/tex]

Hope this helps!

Use the number line to determine the sum -7 + 10

Answers

Answer:

positive 3

Step-by-step explanation:

flip it so its 10-7

HELP PLEASE whats the answer giving brainliest math btw lol

Answers

Answer:

The person above or below is correct.

Step-by-step explanation:

Can I have Brainliest?


Ariel's desk weighs 53 kilograms. What is the weight of her desk in pounds? Round your
answer to the nearest whole number.

* 2.2 pounds is approximately 1 kilogram

Answers

Answer:

116.6 pounds

Step-by-step explanation:

Set up a proportion where x is the weight of her desk in pounds:

[tex]\frac{2.2}{1}[/tex] = [tex]\frac{x}{53}[/tex]

Cross multiply:

x = 116.6

So, her desk is 116.6 pounds

A number y is increased by 2 is less than 19

Answers

Answer:

8

Step-by-step explanation:

Your gym membership costs $10 a month after an initial membership fee of $50. How long have you had your account if you have paid $300? (Hint: Create an equation to model this situation then solve for the unknown.

Answers

Answer:

y(300)=10x+50

Step-by-step explanation: we know that Y has to be 300 because that is our final amount of money that we have paid. we pay 10 bucks a month for the membership alone. the initail fee is 50 bucks so what you start with. we then can start plugging in numbers to solve for x. if you do x=25 you will get 300.

10(25)+50=300

   250+50=300

therefore your equation will be Y=10x+50

38
Select the correct answer from each drop-down menu.
y10
8
+
10
A sequence of transformations maps AABC to A'BC. The sequence of transformations that maps AABC onto AABCİS a
followed by a

Answers

Answer:

The first blank is Reflection across the line x=-3

The second blank is reflection across the line y=x

for Edumentum/PLATO

Step-by-step explanation:

I just did the test. I got it correct. Good luck to everyone else taking their finals rn :)

The complete statement is:

The sequence of transformations that maps [tex]\triangle ABC[/tex] onto [tex]\triangle A'B'C'[/tex] is a

reflection across the line x=-3 followed by a reflection across the line y=x

The coordinates of triangle ABC are:

A= (-4,4), B = (-8,2) and C = (-6,6)

First, the triangle is reflected across the line x = -3.

The rule of this transformation is:

[tex](x,y) \to (|x| - 6,y)[/tex]

When the above transformation is applied to [tex]\triangle ABC[/tex], the coordinates become:

[tex]A = (-2,4)[/tex]

[tex]B = (2,2)[/tex]

[tex]C = (0,6)[/tex]

Next, reflect the above coordinates across the line y = x

The rule of this transformation is:

[tex](x,y) \to (y,x)[/tex]

When the above transformation is applied to [tex]\triangle ABC[/tex], the coordinates become:

[tex]A' = (4,-2)[/tex]

[tex]B' = (2,2)[/tex]

[tex]C' = (6,0)[/tex]

Hence, the sequence of transformations that maps [tex]\triangle ABC[/tex] onto [tex]\triangle A'B'C'[/tex] is a reflection across the line x=-3 followed by a reflection across the line y=x

Read more about transformation at:

https://brainly.com/question/4057530

In one week there were three rainy days and four sunny days. If a day is selected at random, what is the probability it was a sunny day? Round the answer to the nearest hundredth.

Answers

Answer:

0.57

Step-by-step explanation:

3:4

4/7 =0.57

similar triangles ABE and BCD are shown on the coordinate plane. line t passes through points A, B, and C write equation for t

Answers

Answer:

[tex] y = \frac{2}{3}x + 1 [/tex]

Step-by-step explanation:

First, find the slope, m, and y-intercept, b, of line t.

Slope (m) = CD/BD

Slope (m) = 4/6 = ⅔

y-intercept is y = 1. This is where the line intercepts the y-axis. So, b = 1.

Substitute m = ⅔, and b = 1, in [tex] y = mx + b [/tex].

Thus, the equation for line t would be:

[tex] y = \frac{2}{3}x + 1 [/tex]

What is the area of this triangle?

Answers

Answer:

what triangle

Step-by-step explanation:

Find the slope of the line going through the points (6,3) and (1, -22)

Answers

Answer:

5

Step-by-step explanation:

The slope is rise over run

The y coordinate moved down 25 units so the rise is -25

The x coordinate moved to the left 2 units, so the run is -2.

In the form of rise over run it will be:

-25/-5 which is equal to 5


Calculate the Slope of a Line continued...
1. (4, -8) and (9,-8)

Answers

Answer:

m=0

Step-by-step explanation:

formula for slope-

y2-y1/x1-x1=m

What is the difference between an undefined slope and a slope of o?​

Answers

Answer:

An Undefined Slope line is vertical and a Zero Slope Line is horizontal.

Step-by-step explanation:

15 x 15 =

pls help me bc i have no idea what it is​

Answers

Answer:

125

5x5 is 25

10x10 is 100

5 Which situation can be modeled by Diagram A and
which can be modeled by Diagram B?
Diagram A:
Which
addition
models
subtrac
100% of x
1096 10% 10% 10% 10% 1096 1096 1096 1096 1096
80% of x
20% of x
Diagram B:
120% of
10% 10% 1096 1096 10% 10% 10% 10% 10% 1096 10% 10%
100% of x
2096 of x
a.
Your bill at a restaurant is $68 and you want to leave
a 20% tip. What is the total amount you will leave?
b. You buy a sweater that is on sale for 20% off of the
original price. The sweater cost $28. What was the
original price?

Answers

Answer:

a

Step-by-step explanation:

Rebecca trains for a marathon. She runs 6.8 miles in 34 minutes. Determine the
distance covered in 10 minutes.

Answers

pretty sure it’s just 6.8 / 34. that’s 0.2, which is how much rebecca covers a minute

multiply 0.2 by the ten minutes you want to count, which is 2

therefore , rebecca covered 2 miles in 10 minutes :)

Polly has 16 sweets less than Gary, who has 48 sweets.How many sweets does Polly have?​

Answers

Answer:

48-16 = 32 sweets

Step-by-step explanation:

Polly has 32 sweets

Answer:

32 sweets.

Step-by-step explanation:

So if we know that Gary has 48 sweets and Polly has 16 sweets less then Gary, then we know that have to subtract to get out answer.

48-16=32. Therefore, your answer is 32.

Please Help
Find x. ______

Answers

x : 3 just divide 6 and 2

Triangle EFG has coordinates E (0, 0), F (0, 2), and G (3, 0). If ΔEFG ≅ ΔXYZ, what is the measure of XY?
pls help

Answers

Answer:

2 units

Step-by-step explanation:

Since EFG and XYZ are congruent, we can write it like this:

E = X

F = Y

G = Z

Due to E and F being two units apart on the coordinate plane, we can conclude X and Y are also at a measurement of 2 units! Hope this helps!

Given center C and a point P on a circle, find its equation. C(-2, 7) and P(1, 11)

Answers

9514 1404 393

Answer:

  (x +2)² +(y -7)² = 25

Step-by-step explanation:

The length of the radius can be found from the distance formula.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((1-(-2))² +(11 -7)²) = √(3² +4²) = √25

The standard form equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Here, we have (h, k) = (-2, 7) and r = √25, so r² = 25. The circle's equation is ...

  (x +2)² +(y -7)² = 25

Find the slope of the line that passes through the pair of points.
(2, 6), (7, 0)

A) 6/5
B) 5/6
C) -6/5
D) -5/6

Answers

m = -6 / 5 = -1.2

EXPLANATION

Formula: Slope m= yB- yB/ xb- xb

Solution: 0-6/7-2

= -6/5

M= - 1.2

Angelina needs 468 yards of ribbon to decorate quilts for a craft fair. The ribbon comes in rolls of 32 yards. How many rolls of ribbon should Angelina buy

Answers

Answer:

well you need to divide 468 by 32

EASY WORK:Hamburger sells for 3 pounds for $6 .If Samantha buys 10 pounds of hamburger,how much will she pay?

Answers

Answer: $20

Step-by-step explanation: (6/3) * 10 = 20

Samantha will pay 20 dollars

Elia rode her bicycle from her house to the beach at a constant speed of 18 kilometers per hour, and then rode from the beach to the park at a constant speed of 15 kilometers per hour. The total duration of the rides was 1 hour and the distances she rode in each direction are equal. Let b be the number of hours it took Elia to ride from her house to the beach, and p the number of hours it took her to ride from the beach to the park.

Answers

Answer:

b+p=1 and 18b=15p

Answer

none needed use photo below

Step-by-step explanation:

Other Questions
Ill give brainliest Early Civilizations in the Americas Reference Library, 2005In the early 1900s the Olmecs (pronounced OLE-mecks) were a little known cultural group (agroup of people who share customs, history, beliefs, and other traits) of ancient Mesoamerica.Scholars had named the group based on the artistic style of a few of their artifacts (thingscreated or used by humans in past times), but no one knew when they had lived. In fact, mostpeople assumed the Olmecs had lived after the ancient Maya (pronounced MY-uh); somebelieved they were simply a separate grouping of Maya people.Ignorance about the Olmecs was based in part on the geography of their heartland (the centralregion of a cultural group, where their traditional values and customs are practiced). The hotand swampy jungles in which the Olmecs had lived were so inaccessible that few had venturedthere to seek answers about ancient societies. The jungle forests had long ago engulfed theabandoned cities of the Olmecs, hiding them from sight. Over the centuries the heat andmoisture combined forces to decay thousands of artifacts and remains of the once-flourishingsociety.13. Why was so little known about the Olmec in the early 1900s?a. Scholars named the group based on their art instead of their locationb. Most people thought the Olmec lived after the Mayac. The jungles and heat made it hard for people to find artifacts where theOlmecs livedd. There were too many artifacts to study 1. Which type of states would have a problem with the idea of POPULATION deciding votes? You have previously written ideas in your Informational Research Chart. 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Use Green's Theorem to evaluate C F dr. (Check the orientation of the curve before applying the theorem.) F(x, y) = x + 10y3, 10x2 + y C consists of the arc of the curve y = sin(x) from (0, 0) to (, 0) and the line segment from (, 0) to (0, 0) Indus River Valley and Ancient India TestWhy were the Himalayan Mountains important to the Indus River Valley Civilization?The mountains offered them shade in the summer.The mountains were a natural defense against invasions.The mountains were a great location for recreationThe mountains were important only because Mt. Everest is there Someone please help Im on a timer. solve for X. Explain why the process of industrialization is called a revolution, and summarize the effects of industrialization on the people of the era. Given the triangle below, what must be the value of x? Use the scratchpad tool, if needed.Please i need help!! $600 is invested for a year. If the yearly interest rateis 7.5%, how much interest is earned in one year? 5. 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The following table shows part of her record.Suppose Joslyn could roll the die 10.000 times and keep a record of the total number of Ss landing face up in the 10,000 rolls What would such a record Illustrate? Which estimation technique will yield a solution that is closest to the actual product of (21.06)(30.45)?front-end estimationrounding to the nearest tenthrounding to the nearest whole numbercompatible numbers 1. What role do you think popular belief has on scientific discoveries?2. Is there a scientific discovery in todays world that has been overshadowed by popular belief? Explain. Explore the stages of Piaget's cognitive development WILL GIVE BRAINLIEST if you show the steps