The perimeter of the triangle is 13 inches. What is the length of the shortest side?

The Perimeter Of The Triangle Is 13 Inches. What Is The Length Of The Shortest Side?

Answers

Answer 1

Answer:

shortest side = 3 in

Step-by-step explanation:

Sum the 3 sides and equate to 13, that is

x - 5 + 6 + [tex]\frac{x}{2}[/tex] = 13, that is

x + 1 + [tex]\frac{x}{2}[/tex] = 13 ( subtract 1 from both sides )

x + [tex]\frac{x}{2}[/tex] = 12 ( multiply through by 2 to clear the fraction )

2x + x = 24

3x = 24 ( divide both sides by 3 )

x = 8

Thus

x - 5 = 8 - 5 = 3 and [tex]\frac{x}{2}[/tex] = [tex]\frac{8}{2}[/tex] = 4 , then

The shortest side is x - 5 = 3 in


Related Questions

What is the value of y in the solution to the following system of equations?
5x – 3y = -11
2x - 5y = -14

Answers

Answer:

{x,y} = {33/19,-2/19}

Step-by-step explanation:

Answer: For 5x-3y=-11, the answer is y=11/3 + 5x/3.

For 2x-5y=-14, the answer is y=14/5 + 2x/5

Step-by-step explanation: Move all terms that do not contain y to the right side and then solve.

I hope this helps you out! :)

Help needed ASAP will give BRAINLIEST

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Answer:

Third one

Step-by-step explanation:

Answer:

The answer to your following question is C. I had this one and passed the test have a great day!

Step-by-step explanation:

Are angles 1 and 2 a linear pair? Yes or no.

Answers

no because it doesn’t add up to 180°

It cost Jocelyn $5.60 to send 56 text messages. How much would it cost to send 198 text messages?

Answers

I’m pretty sure the answer is 1,108.8 if it’s wrong my bad

if you're driving 30 miles per hour how many hours does it take to drive 60 miles?​

Answers

Answer:2 hours

Step-by-step explanation:

please help solve ASAP . ​

Answers

Answer:

Step-by-step explanation:

35.6

Use calculator if you can or if not just divide the 2,128 by 28!

Question 9 I didn’t mean to click on one

Answers

Answer: Choice A

You selected the correct answer choice.

The given equation y = 3x-5 is in the form y = mx+b with slope m = 3.

Parallel lines have equal slopes but different y intercepts. So any parallel line will also have slope m = 3 (the b value must be different though).

A line has a slope of –3/2 and has a y-intercept of 3. What is the x-intercept of the line?

–3
–2
2
3

Answers

Answer:

is 2

Step-by-step explanation:

Answer:

The correct answer is 2

Step-by-step explanation:

Lola bought 9 pounds of apples for $15.75
What is the price per pound for the apples she bought

Answers

Answer:0.57

Step-by-step explanation:

What two integers does 176 lie between?

Answers

Answer:

175 and 177

Step-by-step explanation:

since a interger is a postive number

It lies between 175 and 177

Classify the system of equations and identify the number of solutions. 5x + y = 2 2y = 4 − 10x

Answers

infinitive

Step-by-step explanation:

The system of equations represents the dependent because the solution to the system of equations has infinitely many solutions.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The system of equations are:

5x + y = 2

2y = 4 − 10x

The system of equations can be written as:

5x + y = 2 ..(I)

10x + 2y = 4 ...(II)

In equation (II) divide by 2

5x + y = 2 ..(III)

Equations (I) and (III) represent the same equation:

The system of equations represents the Dependent because the solution to the system of equations has infinitely many solutions.

Thus, the system of equations represents the dependent because the solution to the system of equations has infinitely many solutions.

Learn more about the linear equation here:

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PLEASE HELP!!! I WILL GIVE BRAINLIEST AND 100 POINTS

Answers

Answer:

2x - 2y or x -2y or 0pick one out of the three

Answer:

B

Step-by-step explanation:

So we have the equation:

[tex]4xz-4yz=5[/tex]

And we want to find the value of 5/4x in terms of x and y.

From our original equation, let's factor out a 4z from the left. So:

[tex]4z(x-y)=5[/tex]

Now, divide both sides by 4z:

[tex]x-y=\frac{5}{4z}[/tex]

Therefore, the expression that represents 5/4z is x-y.

The correct answer is B.

Someone please help me!!!​

Answers

Answer:

thats easy you don't need help

Step-by-step explanation:

Each graph shows two polygon's A B C D and A' B' C' D in each case, describe a sequence of transformation that takes A B C D to A 'B 'C' D' So basically l need help describing the sequence of transformation​

Answers

Answer:

1. Reflection across y-axis and translated down 1 unit

2. 270 degree counterclockwise rotation and translated right three units.

Step-by-step explanation:

For number 1, when you reflect across the y-axis, the polygon is one unit above the intended location, so you would move it down one.

For number two, when you rotate it 270 degrees counterclockwise, it is to the left three units, so you would move it to the right three units.

Determine if each set of ordered pairs represents a function.

Answers

Answer:

h is the a

Step-by-step explanation:

Write 3.242424 as a mixed number

Answers

this number can be written as 3+0.242424


Simplify:

6(1 + 6x) <6(1 - 5x)

Answers

Answer:

x < 0

Step-by-step explanation:

Can anyone help me with this

Answers

Answer:

2700[tex]ft^{3}[/tex]

Step-by-step explanation:

First you find the volume of the bigger cuboid:

Volume= Length * width * height

Volume= 22 * 10 * 11

Volume= 2420[tex]ft^{3}[/tex]

Then the volume of the smaller cuboid:

Volume= Length * width * height

Volume= 7 * 10 * 4

Volume= 280[tex]ft^{3}[/tex]

Then add the volumes of the two shapes:

2420 + 280= 2700[tex]ft^{3}[/tex]

HOPE THIS HELPED

A class has 6 boys and 15 girls. What is the ratio of boys to girls?

Answers

Answer:

6/21

Step-by-step explanation:

bc thats the answer

Answer:

Simplified: 6/15 = 2/5

Step by-step explanation:

What is the value of -6^2?
-12
036
-36
12

Answers

Answer:

21

Step-by-step explanation:

Steps to solve:

-6^2

-6 * -6

6 * 6

36

Best of Luck!

Givenf(x)=6(8−x)+5.
(a) What does the notation f (−2) mean? (b) What is the value of f (−2) ?

Answers

Answer:

b. 65

a. The notation f(-2) means that we want to evaluate the value of the equation when x = -2

Step-by-step explanation:

A. The notation f(-2) means that we want to evaluate the value of the equation when x = -2

B. We will simply substitute the value of 2 for x

f(x) = 6(8-x) + 5

f(-2) = 6(8 - (-2)) + 5

f(-2) = 6(8 + 2) + 5

f(-2) = 6(10) + 5 = 60 + 5 = 65

PLEASE HELP ME
What is the y-intercept of the function shown in the graph? Express your answer as an ordered pair.

Answers

Answer:

(0,4)

Step-by-step explanation:

Y= 2/3x -3 y=-3/2x +2 which statement about these lines are true A. The lines are the same B. The lines are parallel C. The lines are perpendicular D. The lines intersect but not perpendicular

Answers

C. The lines are perpendicular

Answer: the lines are perpendicular

PLEASE HELP I WILL MARK YOU BRAINLIEST AND SHOW SHOW AND EXPLAIN YOUR WORK PLEASE.

Answers

Answer:

a is da answer

Step-by-step explanation:

add the shaded squares and you get 21 but you cant put it over 8 so multiply the denominator by 4, (32), so then it is greater than your numerator. and that's how you get your answer.

Please solve need help!

Answers

Answer:

ST 45

Step-by-step explanation:

9x=4x+25

5x=25

x= 5

plug back in 9(5)

C(1) = 3, c(n) = 10 *c(n - 1) for n >2.

Answers

i do not know the answer to this i suck at math

Answer:

34567890-

Step-by-step explanation:

sorry i do not know lol

Evaluate the expression when a = -2 and b=2.
a-2b

Answers

Answer:

-6

Step-by-step explanation:

a-2b

-2-2(2)

-2-4

-6

9x - 12 = 13 + 4x
Respuesta y ejemplo

Answers

We add 12 to both sides
9x=13+14x+12
Simplify it we get
9x=4x+25
Subtract 4x from both sides
9x-4x=25
We simplify it and we get
5x=25
Divide both sides by 5
X=25/5
And we get x=5 as the answer

Responder:

x=5

Explicada:

9x-12=13+4x

Suma 12 a ambos lados

9x-12+12=13+4x+12

simplificar

9x=4x+25

restar 4x de ambos lados

9x-4x=4x+25-4x

Simplifica de nuevo

5x=25

dividir ambos lados entre 5

5x/5=25/5

Simplifica de nuevo

x=5

Find the coordinates of the midpoint of a segment with the given endpoints (7,0) and (2,4)

Answers

Answer:

[tex]MP= (4.5,2)[/tex] another way of writing [tex]MP= (\frac{9}{2}, 2)[/tex]

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2})(\frac{y_1+y_2}{2})[/tex]

[tex]MP= (\frac{7+2}{2})(\frac{0+4}{2})[/tex] 7+2=9 0+1=1

[tex]MP= (\frac{9}{2})(\frac{2}{2})[/tex]  MP= (4.5,2)

The coordinates of the mid - point of XY will be -  M(4.5, 2)

We have two coordinate points - X(7, 0) and  Y(2, 4).

We have to find the coordinates of the mid - point of the line segment XY.

What is Mid - Point Theorem?

It states that a line with endpoint coordinates as - [x(1), y(1)] and

[x(2), y(2)] has its mid - point at the coordinates -

[tex]$x(m) =\frac{x(1)+x(2)}{2}[/tex]

[tex]$y(m) = \frac{y(1)+y(2)}{2}[/tex]

According to question, we have -

Assume that the coordinates of Mid - Point = M(h, k)

Coordinates of X= (7, 0)

Coordinates of Y= (2, 4)

Using the Mid - Point formula -

h = [tex]\frac{7+2}{2}[/tex] = 4.5

and

k = [tex]\frac{0+4}{2}[/tex] = 2

Hence, the coordinates of the mid - point of XY will be -  M(4.5, 2)

To solve more questions on Mid - points, visit the link below -

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What is the value of m?
O 10
O 30
O 70
O 150

Answers

30is the correct answer
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