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The length of each of the two congruent sides of an isosceles triangle is 2n + 7 and the length of the third side is 3n. Write an expression for the length of the triangle’s perimeter.

Answer:

We can use the theorem ''Parallelogram Diagonals Converse'' to show that the quadrilateral is a parallelogram.

Step-by-step explanation:

We know that the diagonals of any parallelogram bisect each other, each diagonal cutting the other into two equal parts.

In other words, according to Parallelogram Diagonals Theorem Converse, the figure will be a parallelogram if the diagonals of the quadrilateral figure cut (bisect) each other. It is basically the

From the given Parallelogram, it is clear that the diagonals bisect each other, each diagonal cutting the other into two equal parts with the length 3 units.

Therefore, we can use the theorem ''Parallelogram Diagonals Converse'' to show that the quadrilateral is a parallelogram.

Answer:

60

Step-by-step explanation:

divide 400 by 40 you get the answer 10

now multiply 6 by 10 you get the answer 60 thats is the total pear fruit

Answer:

Take $25 times .12 which is 3

Then take 25-3 which is $22

Your sale price is $22

Step-by-step explanation:

Answer:Factor the polynomial

3(a−4b)2

Answer:

18 in

Step-by-step explanation:

Answer:

18 in

Step-by-step explanation:

1 ft = 12 in

Hioe this helps. Pls give brainliest.

Answer:

2/12 is equivalent fraction for 2/3 divided by 4

Step-by-step explanation:

2

3

&

4

2

3

÷

4= ?

step 2 Multiply 2/3 with reciprocal of 4

=2

3

x1

4

=2

12

The Quotient is 1/3.

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.

Given:

2/3 divided by 4

As, division is not possible in fraction so we will perform the multiplication

= 2/3  ÷ 4

= 2/3 x 1/4

= 2/6

= 1/3

Learn more about Division here:

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Answer:

the second graph

Step-by-step explanation:

Answer:

Point Form: (-4,5)

Equation Form: x=-4,y=5

Step-by-step explanation:

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Answer:

D

Step-by-step explanation:

Area = 1/2 a * p

Multiply both sides by 2

2*A = ap

Divide by p

2A / p = a

D

Answer: D

Step-by-step explanation:

Answer:

Gradient of KL = 2

Step-by-step explanation:

From the diagram, we are to calculate the gradient of KL. Gradient is salso known as the slope of the line.

Gradient of KL = ΔOK/ΔOL

Given

OK = 2OL

Substitute into the formula

From the diagram, ΔOL = -5

ΔOK = 2ΔOL

ΔOK = 2(-5)

ΔOK = -10

Hence;

Gradient = -10/-5

Gradient of KL = 2

Answer:

Solving the expression \frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3} we get [tex]\mathbf{\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}}[/tex]

Step-by-step explanation:

We need to solve the expression:

[tex]\frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3}[/tex]

We know the exponent rule: [tex](a^n)^m = a^{nm}[/tex]

[tex]\frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3}\\\\=\frac{y^2z^{\frac{1}{4}} }{z^{\frac{3}{2}}.x^3y^{\frac{9}{2} }}[/tex]

Now, another exponent rule says that: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

[tex]=\frac{y^{2-\frac{9}{2}} z^{\frac{1}{4}-\frac{3}{2} } }{x^3}\\=\frac{y^{\frac{4-9}{2}} z^{\frac{1-3*2}{4} } }{x^3}\\=\frac{y^{\frac{-5}{2}}z^{\frac{-5}{4} } }{x^3}[/tex]

We also know that: [tex]a^{-m}=\frac{1}{a^m}[/tex]

=[tex]\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}[/tex]

So, solving the expression \frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3} we get [tex]\mathbf{\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}}[/tex]

Answer:

900 miles

Step-by-step explanation:

i took the quiz and got one-hundred percent

Answer:

8 miles per hour

Step-by-step explanation:

First find the slope. The slope is the unit rate/constant of proportionality.

To find slope use the points given and formula y2-y1 / x2-x1

(32-16) / (4-2)

= 16 / 2

= 8

Thus the unit rate is 8 miles per hour.

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Answer:

Step-by-step explanation:

Answer:

-6°C

Step-by-step explanation:

(-3) - 3 = -6

Answer:

This equation shows you how financial aid increases $3000 for every additional sibling, starting at $15,000.

Step-by-step explanation:

This equation means that for every sibling there is an additional $3000 in financial aid. When there are no siblings there is an automatic $15000 in financial aid.

Since you can't have "negative number" of siblings, the domain must begin with 0. You can have a lot of siblings, so let's put the end of domain as infinity.

Domain = [0, ∞)

If you substitute in this domain into the equation, the range will be the output. The least will be $15,000 and the most will be infinity as well.

Range = [15000, ∞)

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Answer:

I think it is 5 + 2x

Step-by-step explanation:

Answer:

D 50

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

5y^2+4x

5(3)^2+4(2.5)

5(9)+4(2.5)

45+4(2.5)

45+10

=55

Answer:

y= 3x -5

Step-by-step explanation:

since when x is 0, and y is -5, you know that the y intercept is -5.

look at the table

1x -5 = -2

x= 3

Boom.

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Answer:

[tex]3.75[/tex]

Step-by-step explanation:

[tex]1.5 \times2. 5 \\ = 3.75[/tex]

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Have a nice day!

Answer:

Number of adult tickets sold = 128

Number of student tickets sold = 384

Step-by-step explanation:

Given that:

There are two types of tickets:

1. Student tickets

2. Adult tickets

As per the question statement, number of student tickets sold were three times the adult tickets sold.

Let the number of adult tickets sold = [tex]x[/tex]

So, number of students tickets sold = [tex]3x[/tex]

Total number of tickets sold = Number of adult tickets sold + Number of student tickets sold = 512

[tex]\Rightarrow x+3x=512\\\Rightarrow 4x=512\\\Rightarrow x = 128[/tex]

Therefore, the answer is:

Number of adult tickets sold = 128

Number of student tickets sold = [tex]3\times 128[/tex] = 384

Answer:

well -4 is your x so we are going to go 4 units to the left. Then were gonna point it right there because your y value is 0 and will stay there.

Step-by-step explanation:

:)

Answer:

The driver will make it to the location in the next hour

Step-by-step explanation:

First, find how many miles they traveled in 3.25 hours, by multiplying 55 by 3.25:

55(3.25)

= 178.75

Then, add 55 to this to see if the driver will make it in the next hour:

178.75 + 55

= 233.75

Since this is greater than 230.2, this means they will make it to the location.

So, the driver will make it to the location in the next hour.

Answer:

Yes

Step-by-step explanation:

Since the truck driver is going at an average speed of 55 miles per hour and has already driven for 3.25 hours that means she has already covered a distance of ...

55 * 3.25 = 178.75 miles

If she continues at the same speed and travels for one more hour that means that she would cover another 55 miles which would put her at a total distance of ...

178.75 + 55 = 233.75 miles

Therefore, the answer would be Yes she would arrive at her location. ;)

Answer:

X=13

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

240 + 60 = 300 you can tell this by realising that ratio to have 4x one over the other would be 20 per 100, using this rate 3x, 240 and 60

Answer:

x = 60

Step-by-step explanation:

Length of small piece = x

length of large piece = 4x

x+ 4x = 300

5x = 300

x = 60

Answer:o

Step-by-step explanation:i

Answer:

[tex]m=\frac{-4}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-1, 10)

Point (5, 2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m