A triangle has a perimeter of 77 cm. One side of the triangle is double the base. The other side is quadruple the base. What are the 3 side lengths? Show your work

Answers

Answer 1

The three sides of the triangles are 11 cm, 22cm, and 44cm.

What is the perimeter of a triangle?

The perimeter of the triangle can be calculated by the sum of all the three sides of the triangle.

A triangle has a perimeter of 77 cm.

Let the side of the triangle be x, y, and the base z.

One side of the triangle is double the base.

x = 2z

The other side is quadruple the base.

y = 4z

The perimeter

X + y + z = 77

or

2z + 4z + z = 77

7z = 77

z = 11

So, the length of base z is 11 cm.

The other sides as

x = 22

y = 44

Therefore,The three sides of the triangles are 11 cm, 22cm, and 44cm.

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Related Questions

An awards dinner costs $225 plus $5 for each person making reservations the total bill is $735 how many people attended the dinner

Answers

The number of people attended dinner is 102.

What is an Equation ?

An equation is a mathematical statement when two algebraic expressions are equated by an equal sign.

It is given in the question that

An awards dinner costs $225 plus $5 for each person making reservations

the total bill is $735

people attended the dinner = ?

Let x number of people attended the dinner

$225 + $5 * x = $735

5x = 735-225

5x = 510

x = 102

Therefore , 102 people attended the dinner.

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What is the volume, in cubic centimeters, of a rectangular prism with a height of 8 centimeters, a width of 6 centimeters, and a length of 6 centimeters?

Answers

Answer:

288

Step-by-step explanation:

area of the base times the height. base is 6*6=36. Then 36*8 is 288

solve for x
9x - 5
6x + 4
7x + 7

Answers

Answer:

this can not be solved by X cause the equation is not equal to anything

Step-by-step explanation:

the goal is to remove numbers to get X by itself.

1. 9x-5 = 0
(how do we get 9x alone?, ADD five on each side
9x= 5
(how do we get rid of 9?, DIVIDE)
x= 5/9

if you want to get rid of a number, do the opposite!

6x + 4 = 0
- 4 = -4
6x = -4
divide by 6
x = -4/6
now simplify
x = -2/3


7x + 7 = 0
-7. -7
7x = -7
divide by 7
x = -7/7
x = -1

i hope this made sense!!

Write the following as algebraic expressions. r decreased by 3

Answers

Answer:

r - 3

Step-by-step explanation:

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to write the verbal phrase "r decreased by 3" as an algebraic expression.

[tex]\triangle~\fbox{\bf{KEY:}}\star[/tex]

Think about it. "decreased by". If we decrease a number by another number, what happens to the first number?

Here we decrease the variable "r" by 3.

Remember, variables always represent some number.

Let's think about it this way...

///\\\////\\\\////\\\///\\\///\\\///\\\///\\\///\\///\\///\\///\\///\//\\///\\\///\\\///\\\///\\///\\\///\

So we have a number r, and we decrease it by 3.

Now its value is less than the original value.

We subtracted 3 from the original value of r, and now its value is less than the original one.

Thus, "decreased by" is the same as "subtracted" in mathematics.

r decreased by 3 ⇒ [tex]\star\large\pmb{r-3}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

Which phrase best describes the translation from the graph y = 2(x – 15)2 + 3 to the graph of y = 2(x – 11)2 + 3?
4 units to the left
4 units to the right
8 units to the left
8 units to the right

Answers

The translation of the function y = 2(x - 15)² to y = 2(x - 11)² + 3 is; 4 units to the left.

How to Interpret Graph Translations?

We are given the graph function;

y = 2(x - 15)²

Now, the function above was translated to get;

y = 2(x - 11)² + 3

Now, when we translate a graph to the right, we subtract from the x-value, but if we move the graph to the left, we subtract from the x-value. Thus;

The translation was 4 units to the left.

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ΔXYZ has angles with the following measurements:
m∠X=(10x-33)°
m∠Y=(4x-19)°
m∠Z=(100-2x)°
What are the measures of the three angles?

Answers

Answer:

Below in bold.

Step-by-step explanation:

The 3 angles add up to 180 degrees as they are in a triangle.

So 10x - 33 + 4x - 19 + 100 - 2x = 180

12x = 180 + 33 + 19 - 100

12x = 132

x = 11.

So the 3 angles are

10(11) - 33 = 110 - 33 = 77 degrees

4(11) - 19  =  25 degrees

100 - 2(11) = 78 degrees

Can someone help me figure out what to put in the box, 10 points will be awarded!

Answers

Based on the information given about the Angley marathon, Joe can summarize the message as "Run the Angley marathon for free if A ≥ £850"

How to solve inequality problems?

Raise at least £850 and run the Angley marathon for free

let

Minimum amount to be earned = A

Joe can summarize the message like this:

Run the Angley marathon for free if A ≥ £850

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PLEASE ANSWER ASAP!!!!!!!!!!!! MUCH APPRECIATED!!

Answers

The equation that's illustrated simply depicts an investment as it shows the principal, and interest rate.

What is an investment?

It should be noted that an investment simply means a dedication of an asset in order to increase the value over a period of time.

In this case, the equation that's illustrated simply depicts an investment as it shows the principal, and interest rate. To calculate the investment, the time, amount and rate will be considered.

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You purchase 100 shares of ravioli den for $45/share. One year later, you sell the shares for $52/share. What was your total gain for your investment in ravioli den?

Answers

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The total gain for your investment in ravioli den is $700.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.


The cost of a single share was $45, while the number of shares where 100, therefore, the total cost of purchasing shares is:

Total Cost = $45×100 = $4,500

The selling price of a single share is $52, while the number of shares is the same, therefore, the total selling price is,

Total Selling Price = $52×100 = $5,200

The total gain for your investment in ravioli den is the difference between  Total cost and total selling price. Therefore,

The total gain = $5,200 - $4,500 = $700

Hence, The total gain for your investment in ravioli den is $700.

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Which equation can pair with x 2y = 5 to create an inconsistent system?

Answers

The equation that can be paired with x + 2y = 5 to create an inconsistent system is given by:

2x + 4y = 3.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

An inconsistent system is a system that has no solutions, and it happens when the coefficients of x and y are multiples, and the independent terms are not.

Hence:

x + 2y = 5.

2x + 4y = 3.

Is inconsistent, as the variables are each multiplied by 2, but the independent term is not.

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Answer:

A

Step-by-step explanation:

Edge.

Please help me with the problem below.

Answers

Answer:

67.5 cm^2

Step-by-step explanation:

we know the length and width of the rectangle and the triangle in the compound shape.

The area of the rectangle is 10 times 5 = 50

the area of the triangle is

17-10 = 7

7 times 5 is 35

35/2 = 17.5

50 plus 17.5 = 67.5 cm^2

Answer: 67.5

Step-by-step explanation:  Since this is a irregular shape, you have to split the two shapes.  The rectangles area is 50, and the triangles is 17.5.

To find the area of a triangle multiply 1/2 × base × height

To find the area of a rectangle multiply base × height

Work out the perimeter of a circle with radius 3cm.
Give your answer in terms of [tex]\pi[/tex]

Answers

Answer:

  6π cm

Step-by-step explanation:

For a circle, the perimeter is equal to the circumference. The formula for the circumference of a circle is ...

  C = 2πr

where r is the radius of the circle.

__

using the formula

Substituting the given value of radius into the formula gives ...

  C = 2π(3 cm)

  C = 6π cm

The perimeter of the circle is 6π cm.

Mrs. Nygaard needs 12 hours to grade all of her students’ projects. She made a chart to show how much time she could spend grading the projects during the week.

Project Grading
Day
Hours Grading
Monday
1 and three-fourths
Tuesday
1 and one-half
Wednesday
1 and one-fifth
Thursday
2
Friday
1 and one-fourth


How many hours will Mrs. Nygaard need to work over the weekend to finish grading the projects?

Answers

Answer:

2

Step-by-step explanation:

Mrs. Nygaard need 2 hours to work over the weekend to finish grading the projects

Agree or disagree.most supervisors accept that i cannot always be on time for work.

Answers

Answer:

The answer is your opinion.

Step-by-step explanation:

Agree.whit this statement

Help!

i will report you if you give a bs answer :)

19. a certain chain saw requires a fuel mixture of 5.5% oil and the remainder gasoline. how many liters of 2.5% mixture and how many of 9% mixture must be combined to produce 40.0 liters of 5.5% mixture?

a. 12 4/23 liters of 2.5% and 28 19/23 liters of 9%
b. 28 19/23 liters of 2.5% and 12 4/23 liters of 9%
c. 21 liters of 2.5% and 18 liters of 9%
d. 18 6/13 liters of 2.5% and 21 7/13 liters of 9%
e. 21 7/13 liters of 2.5% and 18 6/13 liters of 9%
f. 18 7/13 liters of 2.5% and 21 6/13 liters of 9%

20. mary can row at the rate of 4 miles per hour in still water. rowing downstream in a river, she can travel 3 times as far in 1 hour as she can rowing upstream. what is the rate of flow in the river?

a. 1 miles per hour
b. 2.5 miles per hour
c. 4 miles per hour
d. 2 miles per hour
e. 3.5 miles per hour
f. 3 miles per hour

Answers

Answer:

E      

Step-by-step explanation:

19)        Amount of oil in   =    amount of oil in final product

       .025(x) + .09(40-x)    =    .055(40)      (x = 2.5% amt   40 - x = 9% amt)

  x = 21.54 L  of   2.5 %     then 9% = 18.46 L

please help it says to choose one or more!

Answers

Answer:

it's A And C

Step-by-step explanation:

Always remember:beluga always love answer your question by following these steps:Follow belugaask meBrainliest me first oktake note please: everyone i answer question I got happy:)please don't delete Your question beacause Brainliest Marks & pointswill be lose

Answer: it’s A and C (45 ft and 37 ft) I think


15 points, I have 0 idea how to solve this, please explain your answer​

Answers

We know that lines e, and d are parallel. And they both cut through a straight line. Knowing that the bottom half are supplementary angles we know they will add up to 180 degrees. As you can see the congruent measurement on the left side of the equation is 154 degrees to find the measurement of angle
ANSWER: 26 degrees.

I hope this helps sorry for typos, this was on my phone and please thanks this reply and rate it if it did!

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.
Out of a randomly selected 2200 people from the population, how many of them
would have an IQ less than 115, to the nearest whole number?

Answers

Using the normal distribution, it is found that 1851 people would have an IQ less than 115.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 100, \sigma = 15[/tex]

The proportion of IQ scores less than 115 is the p-value of Z when X = 115, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{115 - 100}{15}[/tex]

Z = 1

Z = 1 has a p-value of 0.8413.

Out of 2200 people:

0.8413 x 2200 = 1851.

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Answer:

1851

Step-by-step explanation:

if its a whole number than its 1851

What is the range of the function y = x2? x ≥ 0 all real numbers y ≥ 0

Answers

Answer:

The range of x is all real numbers including 0 to infinity, making this x ≥ 0

Answer:The range of x is all real numbers including 0 to infinity, making this x ≥ 0

Step-by-step explanation:

A school sold all but 5 of ta school sold all but 5 of their old computers for r1200 each the school received r18000 from the sale. how many comps did the school originally old computers for r1200 each the school received r18000 from the sale. how many comps did the school originally have

Answers

Answer:

  20

Step-by-step explanation:

The proceeds from the sale can be described by an equation involving the original number of computers.

__

setup

Let n represent the number of computers the school originally had. Then n-5 is "all but 5" and is the number sold. Each is sold for ₹1200, and the value of the sale is ₹18000. This can be expressed by the equation ...

  (n -5)×1200 = 18000

__

solution

This 2-step linear equation can be solved by dividing by the coefficient, and adding the opposite of the constant.

  n -5 = 18000/1200 = 15 . . . . . divide by 1200

  n = 15 +5 = 20 . . . . . . . . . . add the opposite of -5

The school originally had 20 computers.

Given (x – 1)2 = 50, select the values of x.

Answers

Answer:

[tex]x= 1 +5\sqrt 2,~~ x=1-5\sqrt 2[/tex]

Step-by-step explanation:

[tex]~~~~~~(x-1)^2 = 50\\\\\implies x -1 = \pm\sqrt{50}\\\\\implies x = \pm\sqrt{25 \times 2} +1\\\\\implies x= 1 \pm 5\sqrt 2[/tex]

What additional information would prove that DEFG
an isosceles trapezoid?

A- DE≈GF
B-DE≈DG
C-EF≈DG
D-EF≈GF

Answers

For the trapezoid to be proven to be an isosceles trapezoid, the additional information needed is: A. DE ≅ GF

What is an Isosceles Trapezoid?

An isosceles trapezoid is a type of trapezoid whose opposite non-parallel sides have the same side length and base angles that are congruent.

In essence, for trapezoid DEFG to be proven to be an isosceles trapezoid, DE must be congruent to GF.

The additional information needed is therefore: A. DE ≅ GF

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factor 7n^2 - 29n - 30​

Answers

Answer: (7n + 6) • (n - 5)

Explanation:

1.) Rewrite the expression.
7n^2 + 6n - 35n - 30

2.) Factor the expression.
n • (7n + 6) - 5(7n + 6)

3.) Factor out 7n + 6 from the expression.
(7n + 6) • (n - 5)

You map several locations in your home town using a coordinate plane in which each unit represents 1 mile. Your school is at (-2, 8), your friend's apartment is at (6, -4), and your apartment is at (6, 8). Is your apartment closer to school or your friend's apartment? school O your friend's apartment
please someone answer

Answers

Your apartment is closer to your school

Layne says the probability of the high school team winning the football game is 75%.

abdul says the probability is 3 5 .

who thinks the event is more likely, layne or abdul? explain.

Answers

The person who thinks the event is more likely is Layne. This is because she has a higher probability value than Abdul.

Who thinks the event is more likely?

Probability determines the chances that an event would happen. The probability the event occurs with certainty is 1 and the probability that the event would not occur with certainty is 0. The closer the event is to 1, the more likely the event would happen

Layne's probability that the event would happen = 75%

Abdul's probability that the event would happen = 3/5 x 100 = 60%

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what are the answers??????????????????????????????????

Answers

Answer:

A) 4

B) 13

C)17

D)34

Work out the size of angle a and angle b

Answers

Answer:

a = 120°

b = 60°

Step-by-step explanation:

Angle a and 60° are suplementary. The sum of supplementary angles is 180° (straight angle).

a + 60° = 180°

a = 180° - 60°

a = 120°

The sum of angles in the quadrilateral is 360°. Notice how two of the angles in the quadrilateral are marked as right angles (angles marked with a square). Each of them is 90°.

b + 90° + a + 90° = 360°

Substitute a with the value calculated in the previous step.

b + 90° + 120° + 90° = 360°

Solve for b.

b + 300° = 360°

b = 60°

What are the answers for the first page????

Answers

Answer:

which first pagee???There is no any first page????

Metal A has a density of 12.7 g/cm3.
55 g of metal A is combined with metal B to create an alloy with mass 90 g and density 10.7 g/cm3.
What is the density of metal B?
Round your answer to 2 decimal places.

Answers

Using the given information, the density of metal B is 8.58 g/cm³

Calculating density

From the question, we are to determine the density of metal B

From the given information,

55 g of metal A is combined with metal B to create an alloy with mass 90 g

∴ Mass of metal B in the alloy = 90 g - 55 g = 35 g

Now, we will determine the volume of metal A in the alloy

Using the formula,

Density = Mass / Volume

∴ Volume = Mass / Density

Volume of metal A in the alloy = 55/12.7

Volume of metal A in the alloy = 4.33 cm³

Then, we will determine the volume of the alloy

Volume of the alloy = 90/10.7

Volume of the alloy = 8.41 cm³

∴ Volume of metal B in the alloy = 8.41 cm³- 4.33 cm³

Volume of metal B in the alloy = 4.08 cm³

Now, for the density of metal B

Density = mass / volume

Density of metal B = 35 / 4.08

Density of metal B = 8.58 g/cm³

Hence, the density of metal B is 8.58 g/cm³.

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Can someone help please?

Answers

Answer:

its the first one

Step-by-step explanation:

In a quadratic function, the second differences are the same.

In the first table, the first differences are:

3-6 = -3;

2-3 = -1;

3-2 = 1;

6-3 = 3

The second differences are then:

-1--3 = 2;

1--1 = 2;

3-1 = 2

The second differences are the same, so this is a quadratic function.

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