Mary’s trapezoid-shaped garden has a perimeter of 24 yd. She knows the length of three of the sides, 3 yd, 6 yd, and 9 yd.

What is the length of the fourth side?
Choose...

Answer:

B. 120 Degrees

Step-by-step explanation:

We know that the total interior angle of any five sided polygon is 540 Degrees.

The total interior angle of this polygon is

4x + 4x + 4x + 3x + 3x = 18x 540 = 18x

Divide by the lowest ratio 540/18 = 30

30 = x

C = 4x

4X30 = 120

C = 120 Degrees

Answer:

Step-by-step explanation:

Given:

To Find:

Solution:

Let's assume Width of rectangle be x feet and length be 2 +x. to Find the are of the rectangle firstly we need to the length and width of the Rectangle:

Using formula:

→ 32 = 2(x + 2 + x)

→ 32 = 2(2x + 2)

→ 32 = 4x + 4

→ 32 - 4 = 4x

→ 28 = 4x

→ 28/4 = x

→ 7 = x

Hence,

Now,

→ Area of rectangle = Length × Width

→ Area fo rectangle = 9 × 7

→ Area of rectangle = 63 feet²

Answer:

⠀

Step-by-step explanation:

⠀

⠀

So, let us assume the width of the rectangle as w ft and therefore the length will (w + 2) ft .

⠀

Now,

⠀

[tex]{\longrightarrow \qquad{ {{\boldsymbol {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\rm{2(w + 2 + {w})= 32 \ }}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\rm 2({2w + 2= 32 ) }}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\rm{4w +4= 32 \ }}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\rm{4w = 28\ }}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\rm{w = \dfrac{28}{4} }}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ \mathfrak{{\pmb{w = 7 }}}}}[/tex]

⠀

⠀

Now, We are to find the length of the rectangle:

[tex]{\longrightarrow \qquad{ {{\rm{Length = w + 2 }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ {{ \rm{Length = 7 + 2 }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ { \frak{ \pmb{Length = 9}}}}}[/tex]

⠀

Now, we are to find the area of the rectangle :

⠀

[tex]{\longrightarrow \qquad{ {{\boldsymbol{ Area_{(Rectangle)} = Length \times Breadth }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ {{ \rm{ Area_{(Rectangle)} = 9 \times 7 }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ { \pmb{\boldsymbol{ Area_{(Rectangle)} = 63 }}}}}[/tex]

⠀

Therefore,

⠀

Answer:

x=1, y=4

Step-by-step explanation:

sub y=4x into second equation

4x + x=5

5x=5

x=1

now sub x=1 into the first equation

y = 4 x 1

y=4

Angle A = 137

Angle B = 93

what is a quadrialateral?

A quadrilateral is four sided polygon. squares and rectangles are more common examples of a quadrilateral. Each quadrilateral has it's unique features however generally the sum of angles of a quadrilteral is 360

Introducing angle C such that

A + C = 180 (angle on a straight line)

C + 47 + 90 = 180 (sum of angles of a trianlge)

C = 180 - 90 - 47

C = 43

hence

A + 43 = 180

A = 180 - 43

A = 137                  

A + B + 90 + 40 = 360 (sum of angles of a quadrilateral )

37 + B + 90 + 40 = 360

B  = 360 - ( 137 + 90 + 40 )

B = 93

Read more on quadrilaterals here: https://brainly.com/question/16691874

Answer:

Step-by-step explanation:

you will read the directions 2x before solving the problem then solve the problem

Answer: A vertical line from (-5 , 4 ) to (5 , 4)

Step-by-step explanation: The y axis is the vertical  one. Go up 4 and draw a line connecting all the points with 4 in the coordinates.

Hope that helps :)

Answer:

Step-by-step explanation:

go up 4 lines on the y-axis then draw a straight line from left to right on y=4

I don't know if you can see the picture, but I drew a line on the picture you provided...

Please 5 stars if correct!!!

I hope this helps

Using it's concept, it is found that there is a [tex]\frac{11}{17}[/tex] probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, a total of 1 + 4 + 2 + 0 + 1 + 2 + 2 + 0 + 2 + 3 = 17 students were sampled.

Of those, 1 + 2 + 1 + 2 + 2 = 8 live in on campus housing, and 3 live off campus but are graduate students, hence there are 11 desired outcomes and the probability is given by:

[tex]\frac{11}{17}[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

[tex]y = -\frac{2}{3}x +0[/tex]  OR [tex]y = -\frac{2}{3}x[/tex]

Step-by-step explanation:

First, find the slope (m) using two points (0,0) and (-6, 4)

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

[tex]m=\frac{4-0}{-6-0} \\\\m=\frac{4}{-6}\\\\m=\frac{2}{-3}\\\\m=-\frac{2}{3}[/tex]

[tex]y=mx+b[/tex]

[tex]y = -\frac{2}{3}x +b[/tex]

Now, we find b using (-6, 4)

[tex]y = -\frac{2}{3}x +b[/tex]

[tex]4 = -\frac{2}{3}(-6) +b\\\\4 = \frac{12}{3} +b\\\\4 = 4 +b\\\\-4 -4\\\\0=b[/tex]

[tex]y = -\frac{2}{3}x +0[/tex]  OR [tex]y = -\frac{2}{3}x[/tex]

Hope this helps!

Answer:

A two-column geometric proof consists of a list of statements, and the reasons that we know those statements are true. The statements are listed in a column on the left, and the reasons for which the statements can be made are listed in the right column.

Answer:

x=8

Step-by-step explanation:

x²+x²=(8 root2)²

2x²=128

÷2 on both sides

=x²=64

square root each side

so x=8

Apply Pythagorean theorem

Answer:

  3

Step-by-step explanation:

You want the mean absolute deviation of the set of numbers ...

  {9, 2, 9, 9, 5, 4, 9, 1, 4, 10}

The mean of this 10-number set of data is 6.2. The mean absolute deviation (MAD) is found by subtracting that from the members of the dataset, taking the absolute values of the result, and finding the means of those.

The attachment shows those calculations.

The MAD of this set of data is 3.

__

Additional comment

The period (decimal point) in the column of numbers suggests this is a 6-number dataset, and the last 4 numbers are answer choices. If that is the case, none of those answer choices is correct. That is why we assumed that this problem has a 10-number dataset.

When you're calculating this by hand, you only need to consider the values for which the deviation is negative. The MAD is twice their total absolute value, divided by the number of numbers in the dataset. Here, that is 2(4.2+2.2+5.2+2.2+1.2)/10 = 3. (Numbers 2, 5, 4, 1, 4 are less than the mean of 6.2.)

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Looking at the question, the answer gotten is:$4316.55. The question is related to compound interest.

Compound interest is known to be the interest that is earned on a principal sum in addition to the accumulated interest previously. It is as a result of reinvesting interest.

To find the compound interest, the formula used is:

A= P(1+r/n)^nt.

Where

P is the principal sum= $3500

r is the rate = 0.035

n is the compounding period = 12 months.

t is the time = 6 years.

Substituting them in the equation, we have:

A = 3500 ( 1 + 0.035/12)^12×6

Working out the one in the bracket and multiplying the exponent, we have:

A = 3500 (1.00291667)^72

Note: We got 72 by multiplying 12 by 6.

1.00291667 raised to the power of 72 = 1.23330133

A = 3500× 1.23330133 = $4,316.55

Ans: $4,316.55

Learn more about compound interest on https://brainly.com/question/24274034

Answer:

Yes, it is a right triangle.

Step-by-step explanation:

Answer:

Yes, this is a right triangle.

Step-by-step explanation:

For this, you would use the Pythagorean theorem a^2 + b^2=c^2

Here we have 2^2+2.1^2=2.9^2

So we must check to see if that checks out.  What we find is that both sides are equal to 8.41 which means we have a right triangle.

Answer:

551 calories

Step-by-step explanation:

Given the number of calories in each part of his food you can add:
300 + 101 +150
to equal the total amount of calories in his food, which would be:
551 calories
In conclusion, there would be a total of 551 calories if Alan's kid's meal.


Have a great rest of your day
#TheWizzer

Answer:

n=1

Step-by-step explanation:

Still stuck? Get 1-on-1 help from an expert tutor now.

Answer:

Dryer = 320

Washer = 960

Step-by-step explanation:

Washer + Dryer = 1280

Let,

Dryer = x

Washer = 3x

3x + x = 1280

4x = 1280

x = 320

Washer = 3x = 3(320)=960

960 + 320 = 1280

Thus,

Dryer = 320

Washer = 960

~lenvy~

Answer:

108

9×12

Step-by-step explanation:

please mark me as brainlest

Answer:

33 nickels and 11 dimes

Step-by-step explanation:

11*3= 33

11 + 33 = 44

Answer:

0.255+45=0.300

or

0.255 - 0.045 = 0.210

Answer:

17°

Step-by-step explanation:

First, see what's the angle of "AOC"

Here, it's 90° (since it shows the Box at the bottom of the angle instead of a semicircle.

Now, lets subtract 90 by 73

that will be 17

so hence, the value of X is 17°

--------------------------------------௹﷼---------------------------------------------------------------

If you see someone without a simle, give them one of yours!

Thanks!

Have a great day!

:D

Answer:

91kg

Step-by-step explanation:

weight= mass × gravitational force

910kg = m× 10ms^-2

m= 910÷ 10

m= 91

Answer:

£4400

Step-by-step explanation:

5% of 4000 is 200

200*2=400

4000+400=4400

£4400

g(f(x)) = x

What is inverse function?

An inverse function is defined as a function, which can reverse into another function.

[tex]f(x)= \frac{(x + 5)}{(2x + 1)}[/tex]

[tex]g(x)= \frac{(5 - x)}{(2x - 1)}[/tex]

 [tex]g(f(x))=g( \frac{(x+5)}{(2x +1)})[/tex]

Substitute the value of f(x),

[tex]g(f(x))= \frac{(5 - \frac{(x + 5)}{(2x + 1)})}{(2 \frac{(x + 5)}{(2x + 1)} - 1)}[/tex]

[tex]g(f(x))= \frac{\frac{10x+5-x-5}{2x+1} }{ \frac{2x+10-2x-1}{2x+1}}[/tex]

[tex]g(f(x)) = \frac{9x}{9}[/tex]

g(f(x)) = x

Hence, g(f(x)) = x

Learn more about inverse function

https://brainly.com/question/2541698

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Answer:

x^3+5x^2+16x+80

Step-by-step explanation:

You know that you can write your polynom this way : (x-r1)(x-r2)(x-r3) with r1,r2 and r3 the roots so you get :

(x+5)(x+4i)(x-4i)

Simplify (x+4i)(x-4i) with the formula (a-b)(a+b)=a²-b²

so you have (x^2+16)=(x+4i)(x-4i)

Your polynom looks like this :

(x^2+16)(x+5) just expand it

and you get x^3+5x^2+16x+80

Answer:

A is 6

B is 9.4

Step-by-step explanation:

First you put the numbers in order. then you take the middle number of the data set. This is how you find the median. For the mean you add all of the number in the data set then divide by how many numbers are there

Answer:

x = 12

Step-by-step explanation:

1. Subtract 9 from both sides:

x/6 = 2

2. Multiply both sides by 6:

x = 12

Answer:

9 + x/6 = 11

Always get rid of the constants first,

-9         -9(we subtract 9 from both sides because the inverse operation of addition is subtraction)

x/6 = 2

Isolate x by multiplying by 6 on both sides (because the inverse operation of division is multiplication)

*6    *6

x = 12

Answer:

25.12 feet cubed ~ 25ft^3

Step-by-step explanation:

You're doing a volume for a cone.

Volume of cone formula: 1/3 π r^2 h

You have given me the diameter of 4ft

Height of 6ft.

In order to solve this, you need to divide 4ft by 2ft because we need the radius rather than the diameter.

**The radius is half of the diameter.**

Our new radius is 2ft.

Formula: 1/3π2^2(6)

Now do the exponent first, 2 to the second power or 2 squared is 4.

You need to pull out your calculator.

Steps to calculate the volume:

Do 1 divided by 3 first

Then multiply that by 3.14

Multiply 4

Finally multiply 6

Your Volume for the cone is 25.12 feet cubed

Answer:

Option B

Step-by-step explanation:

Numerator:

[tex]\dfrac{3}{x -1 }-4 =\dfrac{3}{x-1}-\dfrac{4*(x-1)}{x-1}\\\\[/tex]

                 [tex]=\dfrac{3- 4x -4*(-1)}{x-1}=\dfrac{3-4x+4}{x-1}\\\\\\=\dfrac{-4x+7}{x-1} \: \textbf{ [Combine like terms]}[/tex]

Denominator:

[tex]2-\dfrac{2}{x-1}=\dfrac{2*(x-1)}{x-1}-\dfrac{2}{x-1}\\[/tex]

                [tex]= \bf \dfrac{2x-2-2}{x-1}\\\\\\= \dfrac{2x-4}{x-1}\\\\= \dfrac{2*(x- 2)}{x-1}[/tex]

[tex]\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}=\dfrac{\dfrac{-4x+7}{x-1}}{\dfrac{2*(x-2)}{x-1}}[/tex]

                 [tex]\bf = \dfrac{-4x+7}{x-1}*\dfrac{x-1}{2(x-2)} \ \ \ \textbf{ [(x-1) in the numerator and denominator will be cancelled]}\\\\\\=\dfrac{-4x+7}{2(x-2)}[/tex]