f x = 8 units, y = 2 units, and h = 14 units, find the area of the parallelogram shown above using decomposition. A. 168 square units B. 140 square units C. 84 square units D. 112 square units

Answers

Answer 1

Answer:

112

Step-by-step explanation:

Answer 2

The area of the parallelogram is A = 140 units²

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the area of the parallelogram be represented as A

Now , the value of A is

Let the height of the parallelogram be h = 14 units

And , base of the parallelogram b = x + y = 10 units

So , A = b x h

On simplifying , we get

The area of parallelogram A = 10 x 14 = 140 units²

Therefore , the value of A is 140 units²

Hence , the area of the parallelogram is 140 units²

To learn more about parallelogram click :

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Related Questions

question:
2r - 13 = -5

Answers

Answer:

r = 4

Step-by-step explanation:

2r = 13 + -5

2r = 8

r = 4

Hope that helps!

r=4

2r-13=-5
+13=+13
—————-
2r=8
/2. /2
————-
r=4

What is the angle Between two parallel lines? Hmm?ಠ_ಠ

Answers

Answer:

the angle between parallel lines is undefined, or it can be either 0 or 180 degrees, or any multiple of 180 degrees.

Answer:

the angle between two parallel lines are supplementary (180 degrees) if intersected by a transversal..

I don't need a explanation I just need to know what are the two answers thankyou!​

Answers

Answer:

(4.7) ⁴

(4.7)-⁴

Step-by-step explanation:

Mark brainliest please

Exact distance between (-1,-9) and (5,-5)

Answers

[tex]2 \sqrt{13} [/tex]

that is your answer

Jack can text 210 characters in 21 minutes. Write an expression for m minutes.
a. 10m
b. 210m
c. 21m
d. 12m

Answers

The answer is B 210m

Select all expressions that are equivalent to 16x-12-24x+4.

pls help ASAP!

Answers

-8x - 8.
16x - 24 x = -8x
-12 + 4 = 8

A line has a gradient of -2
A line that is parallel to this will have a gradient of ...

Answers

Given:

A line has a gradient of -2

A line that is parallel to this will have a gradient of ..... .

To find:

The missing value.

Solution:

Gradient of a line is also known as slope of the line.

We know that the slopes of the parallel lines are equal.

A line has a gradient of -2. So, the slopes of all the lines which are parallel to this line have a gradient of -2.

Therefore, the missing value is -2.

i have to do a number graph using fractions I dont know how​

Answers

Answer:

What kind of graph?

A cylinder has a diameter of 19 inches. It has a volume of about 3,400.62
cubic inches. Find the height.

Answers

The answer is 280.402 i think

5-[6-2-(1-8) -3 +6]+5 =

Answers

Answer:

-4

Step-by-step explanation:

5 - [6 - 2 - (1 - 8) - 3 + 6] + 5 =

Simplify.

5 - [6 - 2 + 7 - 3 + 6] + 5 =

Subtract

5 - [4 + 7 - 3 + 6] + 5 =

Add

5 - (11 - 3 + 6) + 5

Subtract

5 - (8 + 6) + 5

Add

5 - 14 + 5

Simplify by adding and subtracting.

-4

good luck, i hope this helps :)

Answer:

[tex]sln \\ 5 - (6 - 2 - (1 - 8) - 3 + 6) + 5 \\ 5 - (4 - ( - 7) + 3) +5\\ 5 - (4 + 7 + 3)+5 \\ 5 - (14) +5\\ 5 - 14 \\ - 9[/tex]+5

=-4

I hope this help

Please I need this question ASAP

Answers

In order to find all of these, you first must convert the percentage to a decimal. This would be 13% to 0.13.

Now, multiply 0.13 by all of these into a calculator.

1800 • 0.13 = 234
950 • 0.13 = 123.50
2200 • 0.13 = 286
3000 • 0.13 = 390
2600 • 0.13 = 338

4x^2-2x-4=0 solve using quadratic formula

Answers

Answer:

Step-by-step explanation:

Although you can start with 4x^2-2x-4=0, it's just slightly easier to reduce the coefficients.  4x^2-2x-4=0 becomes 2x^2 - x - 2 = 0.

The discriminant (part of the quadratic formula) is b^2 - 4ac.  Using b = -1. a = 1 and c = -2, we get (-1)^2 - 4(2)(-2), or 17.

                                                       -b ± √(b^2 - 4ac)

Then the quadratic formula   x = ---------------------------

                                                                 2a

                                         -(-1) ± √17           1 ± √17

takes on the values  x = -----------------  =  ---------------

                                                  4                      4

Paige's hair was originally 7 inches long. she asked her hair dresser to cut1/2 of it off. how many inches did she cut off

Answers

Answer:

3.5 inches

Step-by-step explanation:

half of 7 is 3.5

Write and equivalent expression for the following expression: ab

Answers

Answer:

ab = a(b)

Step-by-step explanation:

cuz u can just add parentheses

I need help if the awnser is right I will mark you

Answers

Answer:

C. 344 square centimeters

YALL I NEED HELP ASAP !

Answers

Answer:

the answer would be 50 rounded to the nearest ten

Step-by-step explanation:

so sorry if this is not correct °3°

okay thanks for reading :P

Estimate 9/16 to the lowest terms

Answers

Answer:

9/16

is already in the simplest form. It can be written as 0.5625 in decimal form (rounded to 6 decimal places).

Step-by-step explanation:

Mona has 160 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area

Answers

see topper. com

Step-by-step explanation:

uyhhghjggg

12/7 ÷ 12/7 = ??????????​

Answers

Answer:

1

Step-by-step explanation:

Anything divided by itself is always 1.

Answer:

the answer is 1

Step-by-step explanation:

3c=6 and after you have to do subtraction to check​

Answers

Answer:

c=2

Step-by-step explanation:

Given function:

3c=6

divide 6 by 3 to find c.

6÷3=2

subtract to check:

6-3=3since there are 2 threes, c=2.

Therefore, c=2.

The line perpendicular to y= (-3/2)x -4 and goes through (1,4)

Answers

Answer (assuming it is allowed to be in point-slope format):

[tex]y-4 = \frac{2}{3}(x-1)[/tex]

Step-by-step explanation:

1) First, determine the slope. We know it has to be perpendicular to the given equation, [tex]y = -\frac{3}{2} x-4[/tex]. That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since [tex]-\frac{3}{2}[/tex] is in place of the m in the equation, that must be the slope of the given line.

Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be [tex]\frac{2}{3}[/tex].  

2) Now, use the point-slope formula, [tex]y-y_1 = m (x-x_1)[/tex] to write the new equation with the given information. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

The [tex]m[/tex] represents the slope, so substitute [tex]\frac{2}{3}[/tex] in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for [tex]x_1[/tex] and 4 for [tex]y_1[/tex]. This gives the following equation and answer:

[tex]y-4 = \frac{2}{3}(x-1)[/tex]

(1 point) Carbon dating is often used to determine the age of a fossil. For example, a humanoid skull was found in a cave in South Africa along with the remains of a campfire. Archaeologists believe the age of the skull to be the same age as the campfire. It is determined that only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire. Estimate the age of the skull if the half-life of carbon-14 is about 5600 years.

Answers

Answer:

The estimated age of the skull is 39118 years.

Step-by-step explanation:

The amount of the substance after t years is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount, and r is the decay rate.

The half-life of carbon-14 is about 5600 years.

This means that [tex]A(5600) = 0.5A(0)[/tex]. We use this to find r, or 1 - r, to replace in the equation. So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]0.5A(0) = A(0)(1-r)^{5600}[/tex]

[tex](1-r)^{5600} = 0.5[/tex]

[tex]\sqrt[5600]{(1-r)^{5600}} = \sqrt[5600]{0.5}[/tex]

[tex]1 - r = (0.5)^{\frac{1}{5600}}[/tex]

[tex]1 - r = 0.9999[/tex]

So

[tex]A(t) = A(0)(0.9999)^t[/tex]

Only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.

This is t for which [tex]A(t) = 0.02A(0)[/tex]. So

[tex]A(t) = A(0)(0.9999)^t[/tex]

[tex]0.02A(0) = A(0)(0.9999)^t[/tex]

[tex](0.9999)^t = 0.02[/tex]

[tex]\log{(0.9999)^t} = \log{0.02}[/tex]

[tex]t\log{0.9999} = \log{0.02}[/tex]

[tex]t = \frac{\log{0.02}}{\log{0.9999}}[/tex]

[tex]t = 39118[/tex]

The estimated age of the skull is 39118 years.

route bought a bicycle for 1200 she later sold it for 800 what was her loss​

Answers

Answer:

    -400

Step-by-step explanation:

Answer:

Her loss was 400

Step-by-step explanation:

CP= 1200

SP= 800

L=?

Now,

L= CP - SP

= 1200 - 800

=400

Perchlorate is a chemical used in rocket fuel. People who live near a former rocket-testing site are concerned that perchlorate is present in unsafe amounts in their drinking water. Drinking water is considered safe when the average level of perchlorate is 24.5 parts per billion (ppb) or less. A random sample of 28 water sources in this area produces a mean perchlorate measure of 25.3 ppb. Which of the following is an appropriate alternative hypothesis that addresses their concern? Ha : μ < 25.3 H, a, : , μ, < 25.3 A Ha : μ > 25.3 H, a, : , μ, > 25.3 B Ha : μ < 24.5 H, a, : , μ, < 24.5 C Ha : μ > 24.5 H, a , : , μ, > 24.5 D Ha : μ ≠ 24.5

Answers

Answer:

[tex]H_a > \mu = 24.5[/tex]

Step-by-step explanation:

Given

[tex]n = 28[/tex] --- sample size

[tex]\bar x = 25.3[/tex] --- Mean

[tex]x = 24.5[/tex] --- Average

Required

Determine the alternate hypothesis

From the question, we understand that it is safe to drink water at 24.5 ppb or less.

This implies that the null hypothesis is:

[tex]H_0 \le \mu = \bar x[/tex]

i.e.

[tex]H_0 \le \mu = 24.5[/tex]

The opposite of [tex]\le[/tex] is [tex]>[/tex]

So, the alternate hypothesis will be:

[tex]H_a > \mu = \bar x[/tex]

[tex]H_a > \mu = 24.5[/tex]

Hence: (c) is correct

What is the equation of a line that passes through (0, 6) and (6, 0)?
a.y = -x
b.y = x - 6
c.y = x + 6
d.y = -x + 6
PLZ HELP IN A TEST

Answers

F0ck me daddy in my ars
oh YEAH RIGHT THERE OOOOOHHHH

Jason delivered pizzas to a house in Southaven. The pizzas cost the customer $18.25. They tipped Jason $3.65. At what percent did they tip Jason? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW ME YOUR WORK!!)
A. 16.6%
B. 50%
C. 20%
D. 5.6FT
E. $29.40
F. $30.40
G. 6.3FT
H. 25%

Answers

Answer:

$3.65/$18.25

Step-by-step explanation:

$3.65/$18.25

=0.2=2%

This is the correct answer

Select the correct answer from each drop-down menu.
Gilbert is training for a bike race. As part of his training, he does practice rides on portions of
and his second practice ride covers 9 miles of the course. Between these practice rides, he in
These functions model the time it took Gilbert to do each practice ride, where x is his speed
Practice Ride 1
Practice Ride 2
9
+ 2
The denominator of the function that models practice ride 2 represents the
To find a function that models the total amount of time Gilbert spent doing practice rides on
Reset
N

Answers

Answer:

I need help on this as well

Answer:

1.biking speed for the second practice ride

2.add

Step-by-step explanation:

This is right for plato bc i got it right:)

how do I get from 0 to negative 2​

Answers

Answer:

Step-by-step explanation:

Are you referring to the number line? Start at “0” and go left to “-2”

Add negative two 0 + -2=-2. When you add any number with zero it results that number hope this helps

Answer this ASAP it’s due tomorrow again

Answers

Answer:

76 cm cubed

Step-by-step explanation:

2 x 2 x 4 = 16 cm cubed

3 x 4 x 5 = 60 cm cubed

1. Carla has some stickers. Kezia had 4 times as many as Carla but gave 5 to her sister and now she had 7. How many stickers does Carla have?​

Answers

Answer:

2

Step-by-step explanation:

hope it helps god blessss

3

7+5=12

add 5 that she gave to her sister and divide it by 4 since she had 4x more than Carla

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