The perimeter of a triangle is 7 m. The longest side is twice the length of the shortest side. The sum of the
lengths of the shortest side and the middle side is 1 m more than the length of the longest side. Find the
lengths of the sides.

Answers

Answer 1

Answer:

See below in bold.

Step-by-step explanation:

Let the length of the shortest side be x, then the longest side = 2x.

Also  x + y = 2x  + 1   where y = length of the middle side,

Simplifying:

2x - x - y = -1

x - y = -1        (A)

Also as the perimeter = 7:

x + 2x + y = 7

3x + y = 7       (B)

Adding (A) and (B):

4x + 0 = 6

x = 6/4 = 1.5

Plug x = 1.5 into equation B:

3(1.5) + y = 7

y = 7 - 4.5 = 2.5.

Answer:

So the shortest side = 1.5, middle = 2.5 and longest = 2*1.5 = 3.


Related Questions

One number is 4 more than another number. If the greater number is x, what is the other number?

Answers

first number: x

second number: x -4

-13x+2y=29 solve for y

Answers

Answer:

x = 2.38; substitute x to get y

Step-by-step explanation:

solve for variable x.

move the term containing x to the left and the rest to the right.

add -2y to each side of the equation.

 -13 +2y + -2y = 29 + -2y

combine like terms; 2y + -2y = 0

     -13x + 0 = 29 + -2y

          -13x = 29 + -2y

divide each side by -13 and then simplify;

x = -2.23 + 0.15

x = 2.38

Tiffany had finished 78% of her homework. Write this amount as a decimal.



Could someone please help me!?

Answers

As a decimal 78% is 0.78!
78% as a decimal would be 0.78 :)

What net is shown below?
triangular prism
rectangular prism
O square pyramid
triangular pyramid

Answers

Answer:

Rectangular Prism

as Opposite sides are equal

Answer:

rectangular prism because it has dimensions of 5 sides and if you fold it, it would turn into a rectangular prism

Can someone help I will mark u brilliant

Answers

Answer:

50

Step-by-step explanation:

We are finding the surface area of a circle here. which is pie r ^2 ( the formula) so the radius is 4. So we do pie 4^2 which equals 50.26548246 which is approximately 50.

Answer:

First, we must know the formula for the area of a circle.

The formula for the area of a circle is;

A = π[tex]r^{2}[/tex]

Where 'π' is pi(22/7 or 3.14), and 'r' is the radius which is being squared.

Plug in what you know;

R(radius) = 4 feet.

So,

A = π[tex]r^{2}[/tex]

Will be;

A = π(4^2) ← what I mean by " ^ ", I mean "to the power of".

Simplify:-

A = 3.14(16)

A = 50.24 feet is the area.

20. A centimeter is 1/100t of a meter, while a kilo-
meter is equal to 1000 meters?
a. True
b. False

Answers

Answer:

I think it true?

I is correct?

my brainlist answer please. <:(

Plsss help

Explain how the shapes shown have been sorted. ​

Answers

Answer:

A have no right angles and B had all right angles.


Is the graphed function linear?
Yes, because each input value corresponds to
exactly one output value.
Yes, because the outputs increase as the inputs
increase
O No, because the graph is not continuous.
No, because the curve indicates that the rate of
change is not constant

Answers

Answer:

No Because the curve indicates that the rate of change is not constant!

Step-by-step explanation:

Linear functions are straight lines diagonally!

This function shows a rate of growth through time which isn't describing constant growth.

Constant = Linear

which one is a vertical line through the point (3;5)​

Answers

A vertical line going through any given point would pass through the x-coordinate.

In this case, the x-coordinate is 3. Therefore, the vertical line that would pass through the point (3, 5) is x = 3.

Hope this helps!

HELP ASAP

FIRST GET BRAINIEST

I LOVEEE ALL YALL !!!!

Answers

the last net, it's the only one with a rectangle and 4 triangels

Answer:

D

Step-by-step explanation:

Again all it takes is for you to image wat the shape would fold into.

Hope this helps!

Brainliest please!

Please fully rate!

Have a great day!

Happy to help! :)

100 points please help me
I need it

Answers

Answer:

[tex]x=20\\\\m\angle B = 92^{\circ}\\\\m\angle C = 40^{\circ}[/tex]

Step by step explanation:

[tex]~~~m\angle A +m\anglee B + m\angle C =180^{\circ}\\\\\implies 48+6x-28+2x = 180\\\\\implies 8x +20 = 180\\\\\implies 8x = 180 -20 = 160\\\\\implies x = \dfrac{160}8=20\\\\\\m\angle B = (6x -28)^{\circ} = (6\cdot 20 -28)^{\circ}=92^{\circ}\\\\m\angle C = (2x)^{\circ} = (2\cdot 20)^{\circ}=40^{\circ}[/tex]

Without graphing, determine the number of solutions to the system of equations.
{6x−4y=9, 12x−8y=18
Select the correct answer below:


no solution

one solution

infinitely many solutions

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

(1) ---- 6x - 4y = 9

(2)---- 12x - 8y = 18

If you multiply (1) by 2 12x - 8y = 18 --- (3)

and then when you compare (2) and (3), you'll find that you still can't find the value of X and Y therefore, there's infinitely many solutions

Answer:

Infinitely Many Solutions!!

Step-by-step explanation:

You need to do elimination method!!

This is because we need to top the equation to cancel out and become negative.  

6x−4y=9

12x−8y=18

You could do 6x and everything multiplied by -2. But 4y can do the same too!!

I rather do 4y x -2!

-12x+8y=-18

12x−8y=18

Everything cancels out!!

0=0

But 0 equals to 0 goes on forever so the answer is infinite solutions!!

**The reasoning behind the two other choices**

No solution would be like -3=0 which is not our case!!

One solution has something that goes into everything evenly!

What is the image point of (-3,-5) after the transformation T2,1 o D2?

Answers

Let's assume point (-3,-5) is Point P.

Step 1: Translate point P(-3,-5) to P' (2 units right and 1 unit up).

Do the translation first and Dilation later.
Translation rule is:
T(2,1)
P(x,y) -------------------> P'(x+2,y+1)

T(2,,1)
P(-3,-5) ------------------->P'(-3+2,-5+1) = P'(-1,-4)

Step 2: Dilation 2 times. Dilate point P' to P" (2 times)

Dilation rule is:
D(2)
P'(x,y) -------------------> P"(x.2,y.1)

D(2)
P'(-1,-4) ------------------->P"(-2,-8)

Answer : Point (-2,-8)

HELPP ASAPP (BRAINIEST SBB )

Answers

Answer:

The one to the upper right, with a triangle on opposite ends of both sides. It looks like the one in the photo I included.

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

Omar paid $23.60 for 29.5 centimeters of wire. Find unit price in dollars per centimeter

Answers

Answer:

$0.80

Step-by-step explanation:

$23.60 divided by 29.5cm = $0.80 per cm.

Select the correct answer.
If the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solutions of the system?

A.
There is exactly one solution.
B.
There is no solution.
C.
There are infinitely many solutions.
D.
The lines in a system cannot graph as the same line.

Answers

Answer:

C

Step-by-step explanation:

A tennis racquet bought for €95 was then sold for €132. Find the profit as a percentage of the cost
price.

Answers

Answer:

38.95%

Step-by-step explanation:

profit%= profit/cost price ×100

37/95×100

0.38×100

profit%=38.95

solve this following equations. 1.x-2/5-x-4/2=2​

Answers

Answer: hii

There are no values of x

that make the equation true.

Step-by-step explanation:

No solution.

hopefully this helps you.

- Matthew

PLEASE ANSWER ASAP WILL GIVE brainiest TO THE FIRST CORRECT ANSWER

You are hired by a state park and recreation department to determine whether it would be more economical to construct a walking bridge across a gorge or a walking path around it. The path involves walking 1170 feet, taking a 90° left turn, and walking another 520 feet. The path costs $6 per foot, and the bridge costs $11 per foot. The bridge is the preferred option when it is within $1500 of the path’s cost. Which option should you recommend? Explain. Be sure to use numbers in your explanation to support your decision.

Answers

The hypotenuse of the right triangle which is the bridge is not the preferred option because it cost is above $1500.

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. The sides can be found using pythagoras theorem.

Therefore, the hypotenuse side is the bridge length.

c² = a² + b²

where

c = hypotenusea and b are the other legs

Hence,

c² = 1170² + 520²

c² = 1368900 + 270400

c = √1639300

c = 1280.35151423

The bridge is the prefered option when the cost is within $1500. Therefore,

cost of the bridge = 11 × 1280.35151423 = $14083.87

Therefore, the bridge is not the prefered option

learn more on right triangle here: https://brainly.com/question/27309330

I dont know how to answer this

Answers

Answer:

sorry the image isnt clear

Answer:

Can you post it again but clearer

What is the perimeter of a 6-inch square? 20 inches 24 inches 18 inches 14 inches

Answers

the perimeter of a square with a side measurement of 6 inches is equal to 24 inches.

Answer:

24 inches

Step-by-step explanation:

the perimeter of a square with a side measurement of 6 inches is equal to 24 inches.

how to find the area of a triangle with a base of 4 1/2 and a height of 2 2/3

Answers

Answer:

The area is 4.

Step-by-step explanation:

hope this helps.

what is the value of the expression m+(7•9)/n when m = 2.5 and n= 5

A.) 13/5

B.) 13/10

C.) 15/11

D.) 15/17


29 BRAINLY POINTS PLUS USER!!!!​

Answers

Answer:

13/5

Step-by-step explanation:

Given:

m = 12n = 3/5

Substitute the values into the expression:

⇒ 1/2(m ÷ 3) + n

⇒ 1/2(12 ÷ 3) + 3/5

Simplify the expression:

⇒ 1/2(12 ÷ 3) + 3/5

⇒ 1/2(4) + 3/5

⇒ 1/2 x 4 + 3/5

⇒ 2 + 3/5

Make common denominators:

⇒ 2 + 3/5

⇒ (2 x 5/1 x 5) + 3/5

⇒ 10/5 + 3/5

Simplify by adding:

13/5


Select the correct answer.

Prontas Inc. has issued shares worth $1,000,000 to raise fund for its business. Which activity of the cash flow statement will recognize this
inflow of cash?


A non-operating activities

B. investing activities

C. operating activities

D. financing activities

Answers

Answer:

B. -- investing activities

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Suppose that a weight loss company advertises that people using its program lose an average of 8 pounds the first month, and that the Federal Trade Commission is gathering evidence to see if this advertising claim is inaccurate. Suppose that a 99% confidence interval for the average weight loss during the first month in the program, in pounds, is (7.92, 7.98), based on a large sample of patrons.
a. How strong is the statistical significance in the claim that on average people in fact lose less than 8 pounds?

Answers

Answer:

(a) Since the upper limit of the 99% confidence interval is less than

Step-by-step explanation:

We reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.

What is hypothesis testing?

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

The null hypothesis is that the average weight loss during the first month is equal to 8 pounds, and the alternative hypothesis is that the average weight loss is less than 8 pounds.

Since the 99% confidence interval does not include the value of 8, we can reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.

Thus,

We reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.

Learn more about hypothesis testing here:

https://brainly.com/question/30588452

#SPJ2

I need help please answer
Distances in space are measured in light-years. The distance from Earth to a star is 6.8 × 1013 kilometers. What is the distance, in light-years, from Earth to the star (1 light-year = 9.46 × 1012 kilometers)?

A 2.66 light-years
B 7.18 light-years
C 7.74 light-years
D 9.46 light-years

Answers

Answer:

B) 7.18

Step-by-step explanation:

sorry if I am wrong. I hope this helps.

What is the range of this set of test scores?
My Science Test Scores:
82, 85, 87, 68, 74, 90, 92, 78, 89, 95, 94, 94
Science Test Scores
See
Leaf
6
1
48
3
2579
24.45
Xay 61 868

Answers

Answer:

range = 27

Step-by-step explanation:

the range is the difference between the largest and smallest values in the data set.

largest = 95 , smallest = 68

range = 95 - 68 = 27

Answer:

46

Step-by-step explanation:

Why 10^33/2=5*10^32? Explain, pls. :(

Answers

Answer:

see below

Step-by-step explanation:

10^33/2

Rewriting the numerator as 10 * 10 ^ 32

10 * 10 ^32

--------------------

2

10/2 = 5

5 * 10 ^32

Therefore

10^33/2=5*10^32

Solve:........................
[tex] \frac{x}{3} + 4 = \frac{4x - 1}{5} [/tex]

Answers

Answer:

[tex] \frac{x}{3} + 4 = \frac{4x - 1}{5} \\ \\ \frac{x}{3} + \frac{12}{3} = \frac{4x - 1}{5} \\ \\ \frac{x + 12}{3} = \frac{4x - 1}{5} \\ \\ 3(4x - 1) = 5(x + 12) \\ \\ 12x - 3 = 5x + 60 \\ \\ 12x - 5x = 60 + 3 \\ \\ 7x = 63 \\ \\ x = \frac{63}{7} \\ \\ x = 9[/tex]

PLEASE HELP FOR BRAINLIEST, I'M DOING A TESTTT.

Find the area of the triangle below.
Be sure to include the CORRECT UNIT in your answer.

Answers

Answer:

the answer is 60 yards for the triangle

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