Question
A fence is in the shape of an isosceles triangle with a base of 61 feet. The perimeter of the fence is 190 feet. How long is
each of the equal sides of the fence?
Provide your answer below:
feet

Answers

Answer 1

Answer:

x = 64.5 feet

Step-by-step explanation:

Equations

An isosceles triangle has two sides of the same length and one of different length.

The fence has the shape of an isosceles triangle with a base of 61 feet. The base is the side with a different length.

Call x to the length of each of the equal sides. Since the perimeter is the sum of all three sides, and the perimeter is given as 190 feet, then:

x + x + 61 = 190

Simplifying:

2x + 61 = 190

Subtracting 61:

2x = 190 - 61 = 129

Dividing by 2:

x = 129/2

x = 64.5 feet


Related Questions

One factor of x^2 + 5x - 24 is?

Answers

Answer:

(x-3)(x+8)

Step-by-step explanation:

Answer:

(x-3)(x+8) take your pick

How much acetic acid is in a 15-liter container of acetic acid and water that is marked 40% acetic acid?

Answers

The solution is 40% acetic acid.

Multiply the amount of the solution by 40%:

15 liters x 0.40 = 6 liters

There is 6 liters of acetic acid

Mr. Smith marked up the price of his sofa by 15%. If the sofa originally cost $399, what is the new sale price?

Answers

Answer:

457.8

Step-by-step explanation:

Answer is 458.

Percent increase = [(new value - original value)/original value] * 100

So
15%= [(x-399)/399]*100

Carys calculates The total amount E, in dollars, that she earns for working h hours using the equation E=10h.

How many dollars does carys earn per hour?

Answers

The slope
You can see in equation:
h = number of hours
$10 per hour
Answer: she earns $10 per hour

Solve for a.

a+(−4)=−13

Answers

Answer:

a+(−4)=−13

a - 4 = - 13

a = -13 + 4

a = -9

hope it helps!

Answer: The value of a is -9.

Step-by-step explanation;

Step 1. Negative times positive is negative. a - 4 = -13.

Step 2. Add four to both sides. a - 4 + a = -13 + 4.

Step 3. Simplify. a = -9.

Solve the inequality for x.
–3x + 6 –3
D) x > –7

Answers

Factor the expression
-3x+3
-3(x-1)

Simplify the expression
-3x+3

4/3 in a mixed numbers

Answers

4/3 as a mixed number will be 1 1/3.

Answer:

the answer is

[tex]1 \frac{1}{3} [/tex]

t is -40°F on a cold night in the North Pole. When the sun is out the next day, it is -5°F. What is the difference in temperatures?

Answers

Answer:

because at 40 its still warm but really cold  but in -5 its cold wherever you go even in the warmest blanket

Step-by-step explanation:

I WILL GIVE BRAINLIEST AND POINTS
Which input value produces the same output value for
the two functions on the graph?
O X=-3
Ox=-2
Ox=-1
Ox=3

Answers

Ox=-2 is the answer i think

The required, x=-2 is the input value that produces the same output value for the two functions on the graph. Option B is correct.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

The statement "x = -2 input value produces the same output value for the two functions on the graph" means that if you plug in x = -2 into both functions, you will get the same output value for both of them. In other words, the two functions intersect at the point (-2, y), where y is the common output value for x = -2.

The graph of the two functions intersecting at the point (-2, 1), where the x-coordinate is -2 and the y-coordinate is the common output value for both functions. This means that if you draw a vertical line at x = -2, it will intersect the graph at the point (-2, 1) for both functions. Therefore, x = -2 is a vertical line of symmetry for the two functions at the point (-2, 1).

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write the ratio as a fraction in simplest form.

56 days to 5 weeks​

Answers

Answer: 8 weeks

Step-by-step explanation:

The graphs below have the same shapes what is the equation of the blue graph

Answers

A or D the blue graph is going to the right meaning positive

I do not understand how you can do this without more information.

Answers

Answer:

Step-by-step explanation:

I think you are correct. The bottom of the drawing has to have a width or someway of finding it. Also the breakup of the height needs some sort of clue where that breakup occurs.  I think you likely have to ask your instructor.

What is the product? [3 6 1 2 4 0 0 6 2] x [2 0 1]

Answers

Answer:

361,240,062 X 201= [72609252462]

Step-by-step explanation:

The product of the matrices is given below.

[tex]\begin{bmatrix}6 & 0 & 3\\4 &0 & 2\\0&0&0\end{bmatrix}[/tex]

What is the matrix?

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The [tex]\rm a_{ij}[/tex] element in a matrix, such as M, refers to the i-th row and j-th column element.

The matrices are given below.

[tex]\begin{bmatrix}3 & 6 & 1\\ 2 & 4 & 0\\ 0 & 6 & 2\end{bmatrix} \text{and} \begin{bmatrix}2 & 0 & 1\\ \end{bmatrix}[/tex]

The product of the matrices will be

[tex]\begin{bmatrix}3 & 6 & 1\\ 2 & 4 & 0\\ 0 & 6 & 2\end{bmatrix} \times \begin{bmatrix}2 & 0 & 1\\ \end{bmatrix} = \begin{bmatrix}6 & 0 & 3\\4 &0 & 2\\0&0&0\end{bmatrix}[/tex]

Thus, the product of the matrices is given below.

[tex]\begin{bmatrix}6 & 0 & 3\\4 &0 & 2\\0&0&0\end{bmatrix}[/tex]

More about the matrix link is given below.

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The sum of two numbers is 61, the difference is 31. What are the numbers?

Answers

Answer:

2x = 92

x = 46

For the next number:

y = 61 - 46

y = 15

Have a great day!

Answer:

Step-by-step explanation:

For the First Number you would:

     1.  2x = 92

     2. x = 46

For the second number you would :

    1.   y = 61 - 46

    2.   y = 15

Write 3 expressions that are equivalent to 9x(78)


Example:9(80-2)

Answers

1. 9(70+8)
2. 3²(78)
3. 9(39x2)

Answer:

3*3(156/2)9(95-17)10-1(80-2)

In a scale drawing 1/2 inch represents 3 feet. If the same scale is used, how many inches will be needed to represent 24 feet?

2 inches
4 inches
8 inches
12 inches

Answers

Answer: 4 inches

Since 24/3 = 8
Multiply 1/2 by 8
1/2 * 8 = 4
4 inches becuase if 3 is 1/2 then we just have to multipky then by 8 so 24 feet is 4 inches

A recipe for chicken noodle soup is shown.

How many servings could you make if you had 3/4 cup of diced onion?

Answers

Answer:

is there answer choices? if not im just guessing so dont take my word for it but i would say 8.5 servings.

2q-r=p, r=q-s, p=q+2r prove s=2r

Answers

Answer:

s=2r

Step-by-step explanation:

Solution:

Given;

2q-r=p

r=q-s

or,q=r+s

p=q+2r

To prove: s=2r

Now,

2q-r=p

or,2(r+s)-r=q+2r

or,2r+2s-r=r+s+2r

or,r+2s=3r+s

or,s=2r

PROVED

If you want any other solutions follow me

THANK YOU

By using the substitution method we can prove s = 2r.

Given,

2p - r = p

r = q - s

p = q + 2r

We need to prove s = 2r.

What is a substitution method?

It is a method where we substitute the value of one variable in one equation for the same variable in the other equation.

Example:

x + 4 = y _____(1)

x = y - 4

x + 5 = 2y ______(2)

Putting x = y - 4 in (2)

y - 4 + 5 = 2y

-4 + 5 = 2y - y

1 = y

y = 1

Prove s = 2r.

We have,

2q - r = p ____(1)

r = q - s _____(2)

p = q + 2r ______(3)

From (1) and (2)

Substituting (2) in (1)

2q - (q - s) = p

2q - q + s = p

q + s = p _____(4)

Putting (4) in (3)

q + s = q + 2r

q - q + s = 2r

s = 2r

Hence proved.

Thus we can prove s = 2r.

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8 1/2 - 6 1/4 please subtract

Answers

Answer:

2.25

Step-by-step explanation:

8.5-6.25

(8-6)+(0.5-0.25)

2+0.25

2.25

Answer:

2.25 or 9/4 is the answer

Hope this helps

The diagram shown can be used to prove the Pythagorean theorem. Which statement is TRUE about the diagram?
es »
A)
The areas of the two rectangles are not equal.
B)
The diagonal of each rectangle is the hypotenuse of a triangle.
0
The area of the red square is represented by ab.
D)
The area of the blue square is represented by a² + b2

Answers

Answer:

Step-by-step explanation:

the answer is c

Can someone help with this please?

Answers

Answer:

y = x - 3

Step-by-step explanation:

From the table attached,

Scatter plot given in the graph is correct.

Let the equation of the line passing from a point (x', y') is,

y - y' = m(x - x')

m = slope

Slope of the line passing through two points [tex](x_2,y_2)[/tex] and [tex](x_1,y_1)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through the points (11, 8) and (12, 9) will be,

m = [tex]\frac{(9-8)}{(12-11)} =1[/tex]

Therefore, equation of the line passing through (11, 8) will be,

y - 8 = 1(x - 11)

y = x - 11 + 8

y = x - 3

the table shows types of guinea pig food
(look at picture)

Answers

Answer:

I ned pls more

Step-by-step explanation:

Pls for I can be cool.

Answer:

Answer is H. You are Welcome

PLEASE HP ME I WILL GIVE BRAINLIST!!!!!!!!!!!!!!!!
Luke has a savings account with an initial balance of $380. He makes two transactions.
After the two transactions, the balance of Luke's savings account is the same as the
initial balance.
Which of the following could be the two transactions that Luke made?
a. A withdrawal of $200 and a deposit pf $180
b. A withdrawal of $215 and a deposit of $215
C. A withdrawal of $200 and a withdrawal of $180
d. A deposit of $400 and a withdrawal of $20

Answers

Answer:

If Luke ends up with the same as the start $380 that means he withdrew and deposited the same amount. Answer will be b.

Step-by-step explanation:

$380 - $215 = $ 165

$165 + $215 = $ 380

Answer:

10

Step-by-step explanation: r+6+5

The last 40 boat rentals at a boat rental company were 22 sunfish, 10 kayaks, and 8 rowboats.

Answers

So whats the question my guy??

Which of the following is equivalent to 17g2 – 2g2?

Answers

Answer:

whichever equation equals =15g2

Step-by-step explanation:

Answer:

(17 – 2)g ^2

Step-by-step explanation:

The radius of a circle can be found by dividing the circumference of the circle by 6.28. What is the radius of a circle that has a circumference of 17.27 feet?

0.36 ft
2.75 ft
10.99 ft
2.58 ft

Answers

Answer:

2.75 ft

Step-by-step explanation:

Answer:

2.75

Step-by-step explanation:

At the local bookstore, Jim bought 2 paperback books for $13.00. Maria bought 5 paperback books for $32.50. Tanya bought 7 paperback books for $45.50. Graph the situation.

Answers

Answer:

Hi

Step-by-step explanation:

PLS HELPPP!!!!!
its due soon, and mainly its asking for verbal

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try using math-way it shows explanation for literally any problem !
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or cy-math those are two great apps !

What is the slope of the line represented by the equation Y=4/5x-3?

Answers

I guess this the right answer

what is the domain and range

Answers

Answer:

domain = x value

range = y value

Step-by-step explanation:

domain = x value

range = y value

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