A parallelogram is shown below:
A parallelogram ABCD is shown with DC equal to 3 feet and the perpendicular distance between AB and DC equal to 2 over 3 foot.


Part A: What is the area of the parallelogram? Show your work. (5 points)


Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)

Answer:

65 degrees

Step-by-step explanation:

If the angle at the top there is 35 degrees, then the angle directly underneath is also 35 degrees, and the angle of 80 degrees is given, and 80+35=115, and the sum of the angles in a triangle is 180, and so 180-115=65. 65 degrees=x

Answer:

The answer is c mate .

Step-by-step explanation:

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Answer:

x=√154 over 7 , −√154 over 7

Step-by-step explanation:

Answer:

the answer is that x=positive or negative square root of 22 over square root of 7

Step-by-step explanation:

Answer:

B  160 ft^2

Step-by-step explanation:

Right away you can eliminate A and C as area in square feet suppose to be. A=bh A= 20 x 8=160 ft^2

Answer:

you submit the numbers where the is x the numbers on top

check the solutions

The complete table is shown in attached figure.

The graph of y = 2x + 3 is shown in attached figure.

What is linear expression?

A linear expression is an algebraic statement where each term is either  constant or variable raised to the first power.

Given that;

The equation is y = 2x + 3

Now, For Complete the table we can calculate as;

For first column;

The value of x = -2

Hence, The value of y is calculated as;

y = 2x + 3

y = 2 × -2 + 3

y = -4 + 3

y = -1

Thus, For first column of table;

x = -2 and y = -1

And, For third column;

The value of x = 0

Hence, The value of y is calculated as;

y = 2x + 3

y = 2 × 0 + 3

y = 0 + 3

y = 3

Thus, For third column of table;

x = 0 and y = 3

And, For fourth column;

The value of x = 1

Hence, The value of y is calculated as;

y = 2x + 3

y = 2 × 1 + 3

y = 2 + 3

y = 5

Thus, For fourth column of table;

x = 1 and y = 5

And, For sixth column;

The value of x = 3

Hence, The value of y is calculated as;

y = 2x + 3

y = 2 × 3 + 3

y = 6 + 3

y = 9

Thus, For sixth column of table;

x = 3 and y = 9

Thus, The complete table is shown in attached figure.

The graph of y = 2x + 3 is shown in attached figure.

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Answer:

y=x+3

Step-by-step explanation:

when you connect all the dots it makes a straight linear line. then you can use the format y=mx+b

y is the y value

m is the slope (change in y divided by change in x or, rise over run)

x is the x value

b is the y intercept (the y value where the line will touch the y axis/vertical line)

to make the equation

y=mx+b

y and x are variables so you dont need to write them

the slope is rise/run just pick two points such as the first point (0,3) and the second point (1,4)

between these points it changes one unit to the right (1) and one unit up vertically meaning 1/1

=1

when the slope is 1 you get

y=1x+b which is just y=x+b

then the y intercept

the first dot is touching the y axis line and it's y value is 3

y=x+3

hope this helps

Answer:

5x+5y

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

First one 28

Second one 53

Step-by-step explanation:

Using pythagoras theorem

Sqrt(24^2+7^2)=28

sqrt(45^2+28^2)=53

Answer:

420 km

Step-by-step explanation:

75 times 5 = 375

75/10 = 7.5 times 6 = 45

375 + 45 = 420

Answer:

A

Step-by-step explanation:

The appropriate inference procedure in this case is a one-sample t test for a mean. The test statistic for this test is [tex]t=\frac{19.4-20}{\frac{0.25}{\sqrt{n} } }[/tex].

The test statistic for this test is ;

t = 19.4 - 20/ 0.25/√n

Normal usually refers to the word "normal" in normal distribution.

The word normal is used when something occurs that have occured frequently. The normal distribution is somewhat similar where the main observation (mean or its surrounding) occurs frequently and as we go far from mean, its chances decrease.

We are given that 20-ounce soda bottle is supposed to contain 20 ounces of soda. The distribution of the actual amount of soda in a 20-ounce soda bottle is normal.

The appropriate procedure in this case is a one-sample t test for a mean.

The test statistic for this test is ;

t = 19.4 - 20/ 0.25/√n

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Answer:

c. 203

Step-by-step explanation:

The formula is A + [tex]\frac{1}{2}[/tex] p(s)

A=area of base

p=perimeter of base

s=slant height

So plug in the numbers:  49 + [tex]\frac{1}{2}[/tex] 28(11) and solve.

Answer:

<WXV and <YXZ, <W and <Y

Step-by-step explanation:

ASA stands for Angle Side Angle. You need two corresponding congruent sides and two pairs of congruent corresponding angles that border it.

Looking at XY, we can see the two angles that border it are <YXZ and <Y.

<WXV and <W are the angles that correspond with those two angles.

Answer:

[tex] 35m [/tex]

Step-by-step explanation:

Given :-

And we need to find the length of the rectangle . We can use the formula to find the perimeter of rectangle , as ,

Perimeter of rectangle :-

[tex]\implies Perimeter = 2( l + b)[/tex]

[tex]\implies 120m = 2 ( x + 25m) \\\\\implies x + 25m =\dfrac{120m}{2}\\\\\implies x + 25m = 60m \\\\\implies x = 60m - 25m \\\\\implies x = 35m [/tex]

Hence the length of the rectangle is 35 m .

Answer:

will this work or help ?

Step-by-step explanation:

The given equation governs the height versus time of the object. h(0) = 64, so the ground is considered at h = 0. The question is at what time is h = 0? So, set h = 0 and solve for t.

-16t^2 + 48t + 64 = 0

We can divide both sides of this equation by -16 for simpler numbers. We get

t^2 - 3t - 4 = 0

We can factor this equation:

(t - 4)(t + 1) = 0

So, t = 4 and t = -1 are solutions.

But, time must be positive, so t = -1 makes no sense, so we discard it. This leaves

t = 4 sec.

Answer:

x > [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]\frac{5(9-x)}{3+1}<11[/tex]

Add 3 and 1 to get 4.

[tex]\frac{5(9-x)}{4}<11[/tex]

Use the distributive property to multiply 5 by 9−x.

[tex]\frac{45-5x}{4}<11[/tex]

Subtract  45/5 from both sides.

[tex]-\frac{5}{4}x<11-\frac{45}{4}[/tex]

Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.

[tex]-\frac{5}{4} x<-\frac{1}{4}[/tex]

Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.

[tex]x>-\frac{1}{4} (-\frac{4}{5} )[/tex]

Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.

[tex]x>\frac{-(-4)}{4 x 5}[/tex]

[tex]x>\frac{1}{5}[/tex]

Answer:

The daily rate is: 17500 units per day

Step-by-step explanation:

Given

[tex]R = 1700x - 2x^2[/tex]

[tex]\frac{dx}{dt} = 25[/tex]

Required

Find [tex]\frac{dR}{dt}[/tex] when [tex]x = 250[/tex]

We have:

[tex]R = 1700x - 2x^2[/tex]

Differentiate both sides with respect to time

[tex]\frac{dR}{dt} = 1700\frac{dx}{dt} - 4x\frac{dx}{dt}[/tex]

Factorize

[tex]\frac{dR}{dt} = (1700- 4x)\frac{dx}{dt}[/tex]

Substitute: [tex]\frac{dx}{dt} = 25[/tex] and [tex]x = 250[/tex]

[tex]\frac{dR}{dt} = (1700- 4x)\frac{dx}{dt}[/tex]

[tex]\frac{dR}{dt} = (1700- 4*250)*25[/tex]

[tex]\frac{dR}{dt} = (1700- 1000)*25[/tex]

[tex]\frac{dR}{dt} = 700*25[/tex]

[tex]\frac{dR}{dt} = 17500[/tex]

You are not asking for a probability but just the number of different outcomes of differences. The range is 1 to 6 for each dice throw. The range of the differences are 0–5. Therefore, there are 6 different outcomes……0,1,2,3,4,5

B. 4

count the boxes from the point to the y axis, which would be 4

ignore my previous answer, i was confused, sorry.

Answer:

the 8 is the in the tenth place

Answer:

[tex]3x^2[/tex]

Step-by-step explanation:

Then add the value that you carried above the tens place. For example, for 96 x 8, multiply 8 and 9 to get 72. Then add the 4 that you carried to get 76. This will give you a final answer of 768.

Answer:

704

Step-by-step explanation:

calculator

Answer:

31, 680 ÷ 45 = 704

Step-by-step explanation:

Why?

Slowly divide them and its better to use long method :-)

HOPE IT HELPS

(FROM CROSS)

the answer is a,I took the test on edu

Answer:

m<A = 98.25

m<B = 81.75

m<C = 113

m<D = 113

m<E = 67

Step-by-step explanation:

3x + 12 + 5x - 18 = 180

8x - 6 = 180

8x = 186

x = 23.25

3x + 12

3(23.25) + 12

81.75

5x - 18

5(23.25) - 18

98.25

6y - 5 + 10y - 7 = 180

16y - 12 = 180

16y = 192

y = 12

6y - 5

6(12) - 5

67

10y - 7

10(12) - 7

113