What is the area of this parallelogram?


A. 28 m²

B. 56 m²

C. 84 m²

D. 120 m²
Parallelogram A B C D with side D C parallel to side A B and side A D parallel to side B C. Point F is between D and C and connects to point B by a dotted segment. Point E is between A and B and connected to point D by a dotted segment. D F B E is a rectangle with all right angles. DF is 8 meters. F C is 4 meters. A E is 4 meters. E B is 8 meters. F B is 7 meters.

Answer:

Statements and reasons for the proof is shown in the attachment

Step-by-step explanation:

The statements and reasons are as shown in the attached file.

The knowledge of congruency in triangles is applied.

Answer:

y=15/7x-4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(11-(-4))/(7-0)

m=(11+4)/7

m=15/7

y-y1=m(x-x1)

y-(-4)=15/7(x-0)

y+4=15/7(x)

y+4=15/7x

y=15/7x-4

The x intercept is [tex](\frac{-2}{5}, 0)[/tex]

The y intercept is [tex](0, \frac{-2}{3})[/tex]

Solution:

Given equation is:

10x + 6y = -4

The x intercept is the point where the line crosses the x axis

The y intercept is the point where the line crosses the y axis

Find x intercept:

Substitute y = 0 in given equation

10x + 6(0) = -4

10x = -4

[tex]x = \frac{-4}{10}\\\\x = \frac{-2}{5}[/tex]

Thus the x intercept is [tex](\frac{-2}{5}, 0)[/tex]

Find y intercept:

Substitute x = 0 in given equation

10(0) + 6y = -4

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

Thus the y intercept is [tex](0, \frac{-2}{3})[/tex]

Answer:

the order of the matrix is 5 x 3

5 rows and 3 columns

Answer:

A numerator is the number that you actually have, the top number in a fraction

Step-by-step explanation:

A numerator is the top number on a fraction, such as 1 in 1/2.

I had trouble at this for a while when I was younger, so hopefully this helps (=>ω<=)

Answer:

The total cost of the car including the down payment  = $12,500

Step-by-step explanation:

The Original price of the car  = $9800

The amount paid for down payment  = $500

Also, the monthly payment  amount  = $250

Now, the number of months, the amount is paid  = 48 months

So, the TOTAL amount paid in 48  months

= 48 x ( Amount paid each month)   = 48 x ( $250)

= $12,000

So, the TOTAL PRICE of CAR paid  = Total amount paid in 48 months  + The amount paid for down payment

= $12,000 +  $500

= $12,500

Hence, the total cost of the car including the down payment  = $12,500

x ≤ 12

Solution:

Let us take the number be x.

A number : x

A number divided by three : [tex]$\frac{x}{3}[/tex]

A number divided by three less two : [tex]$\frac{x}{3}-2[/tex]

A number divided by three less two is at most two : [tex]$\frac{x}{3}-2\leq 2[/tex]

Now, simplify the inequality,

[tex]$\Rightarrow\frac{x}{3}-2\leq 2[/tex]

Add 2 on both sides of the inequality,

[tex]$\Rightarrow\frac{x}{3}-2+2\leq 2+2[/tex]

[tex]$\Rightarrow\frac{x}{3}\leq 4[/tex]

Multiply by 3 on both sides of the equation,

[tex]$\Rightarrow\frac{x}{3}\times3\leq 4\times3[/tex]

[tex]$\Rightarrow x\leq 12[/tex]

Hence x ≤ 12.

Final answer:

The question requires setting up an inequality to express the condition 'a number divided by three less two is at most two.' The solution of the inequality reveals that the number in question is any number less than or equal to 12.

Explanation:

The student's question involves a number theoretical concept that requires setting up and solving an inequality. To understand the requirement of 'at most two' when a number is divided by three and reduced by two, we would establish an inequality as X / (3-2) ≤ 2, where X is the unknown number. This inequality represents the condition mentioned in the question, which restricts the value of X to a certain range after the operations are performed.

When working through the inequality, we aim to isolate X to determine the possible values it can hold. Here, we would start by adding two to both sides of the inequality to remove the subtraction, leading to X / 3 ≤ 4. Multiplying both sides by 3 gives us X ≤ 12. This tells us that the number in question is any number that is less than or equal to 12.

Understanding mathematical operations and the interpretation of numerals in context is necessary to solve such problems. Specifically, discerning the difference between an 'at least' and 'exactly' reading of numerals impacts the formation and solution of such inequalities.

Answer:

Vgondola=lwh

                 =(41)(9.5)(5)

                 =1947.5 ft3

Step-by-step explanation:

plz give me brainliest

Answer:

13+11

Step-by-step explanation:

13-11=2 and 13+11=24

Answer: 8 squared equals 8 plus 56

Step-by-step explanation:

What you would do is find a number squared that is greater than 56. I used 8 because 8 squared is 64. So i squared that and got 64, I then subtracted 8 from 64 because you would need to use the same x value in the equation and that lead me t getting 56. All in all x=8.

Aiko has -$5.50 after buying the candles.

To find out how much money Aiko has after buying candles, we need to calculate the total amount spent on the candles and subtract it from the initial $20.

Aiko initially had $20. She returned 2 candles for $4.75 each, so she got back 2 x $4.75 = $9.50.

Then, she bought 3 candles for $3.50 each, which amounts to 3 x $3.50 = $10.50.

Finally, she bought 1 candle for $5.00.

The total amount spent on candles is $4.75 x 2 + $3.50 x 3 + $5.00 = $9.50 + $10.50 + $5.00 = $25.50.

To calculate how much money Aiko has left, we subtract the total spent from the initial amount: $20 - $25.50 = $-5.50.

Therefore, Aiko owes $5.50 after buying the candles.

Answer:

Option A

Step-by-step explanation:

It is given that Marta sold [tex]$ x $[/tex] oranges on Thursday.

She has sold twice as many as on Friday. Therefore, she must have sold [tex]$ 2x$[/tex] oranges on Friday.

And the total amounts to 108.

That is, [tex]$ x + 2x = 108 $[/tex]

Hence, the table which has the total on the top and the entities on the bottom line would be the answer which is Option A.

Answer:

A

Step-by-step explanation:

Thursday is x because she sold x oranges. Friday is 2x because she sold double the amount she sold on Thursday. Then we add them together to make 108.

Answer:

Step-by-step explanation:

x-117+120

x+3

Answer: d≈7.07

Step-by-step explanation:

l=4 w=5 h=3, then d≈7.07

[tex]d=\sqrt{l^{2}+w^{2} +h^{2} } =\sqrt{4^{2}+ 5^{2}+ 3^{2} } =7.07[/tex]

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Valentines Day! :-)  

- Cutiepatutie ☺❀❤

Answer:

[tex]\sqrt{1.8}<1.8[/tex]

[tex]\sqrt{1.8}>1[/tex]

[tex]\sqrt{1.8}<\sqrt{1.9}[/tex]

[tex]1.3<\sqrt{1.8}<1.4[/tex]

[tex]\sqrt{1.8}+\sqrt{1.9}[/tex]

Step-by-step explanation:

[tex]\sqrt{1.8} = 1.34[/tex]     [tex]\sqrt{1.9} = 1.38[/tex]       [tex]\sqrt{1.8}+\sqrt{1.9}=1.34+1.38=2.72[/tex]

[tex]\sqrt{1.9}-\sqrt{1.8}=1.38-1.34=0.04[/tex]

1.

[tex]\sqrt{1.8}<1.8[/tex]

It is true. since 1.34<1.8

2.

[tex]\sqrt{1.8}>1[/tex]

It is true. Since 1.34>1

3.

[tex]\sqrt{1.8}<\sqrt{1.9}[/tex]

It is true. since 1.34<1.38

4.

[tex]1.3<\sqrt{1.8}<1.4[/tex]

It is true. Since 1.3<1.34<1.4

5.

[tex]\sqrt{1.8}+\sqrt{1.9}[/tex]>2

It is true. Since 2.72>2

6.

[tex]\sqrt{1.8}-\sqrt{1.9}>0.1[/tex]

It is false. Since 0.04<0.1

A. A 90° counterclockwise rotation of trapezoid JKLM about the origin will move angle L onto angle R.

Step-by-step explanation:

Since both the trapezoids, trapezoid JKLM and PQRS are congruent, we can do any transformation, may be rotation, reflection and translation.

A 90° counterclockwise rotation of trapezoid JKLM about the origin will move angle L onto angle R is the true statement others are incorrect statements.

When the Preimage is rotated 90° counterclockwise rotation, then its coordinates (x,y) changed into (-y,x)  

Answer:a

Step-by-step explanation:

Answer:

  it is a solution

Step-by-step explanation:

When you put the number where x is, you get ...

  -14 > -17 . . . . a true statement

Since this statement is true, x=-14 is a solution.

The number -14 is a solution to the inequality X > -17 in mathematics as it falls within the range of numbers greater than -17.

In the realm of mathematics, inequalities define a range of values that can be a solution. In this case, the inequality is X > -17. This means any number greater than -17 is a solution to the inequality. If we consider -14, it falls within this range because -14 is greater than -17. Therefore, yes, -14 is a solution to the given inequality.

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Answer:

135k

Step-by-step explanation:

9k*8k=72k

9k*7=63k

72k+63k=135k

Answer:

72k²+7

Step-by-step explanation:

Multiply 9k and 8k. After that, you will get 72k² because there are two k numbers. so you leave +7 and put that in the equation then you get 72k²+7.

Answer:

Discrete data means that it is not continuous and is graphed as a line with dashes.Continuous data goes on forever and is usually linear. It is graphed as a straight line all the way through.

Step-by-step explanation:

Hope that helps.

Answer:

2 thirds of the trails are longer than 5 Km

Step-by-step explanation:

A line plot that forms a straight line indicates a direct relationship between the two variables plotted. A graph that shows less deviation from the line of best fit is a good candidate for linear regression. Line graphs are typically used to show trends over time.

When considering a line plot or any graphical representation of data such as scatter plots or line graphs, the main goal is to uncover the underlying pattern or relationship presented. If the data, when graphed, forms a straight line, it suggests a direct relationship between the variables involved. This implies that as one variable increases, the other variable either increases or decreases by a consistent rate. For instance, if one plot shows a line from (0,8) to (3,2), there's a decrease as the first variable increases. Conversely, a line from (0,2) to (3,2) or from (0,3) to (3,3) suggests no change, indicating a directly horizontal line and therefore no relationship. When determining good candidates for linear regression, a scattering of points closely aligned in a straight line pattern, with little deviation from the line of best fit, is indicative of such. Linear regression is more accurate when the variance around the line of best fit is minimal, as seen in the second graph described. Line graphs specifically are useful for showing data trends over time, where the x-axis typically represents time and the y-axis represents another variable.

Answer:

Elijah is  standing from the base of the monument 159.14 feet

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle ABC

[tex]tan(74^o)=\frac{BC}{AC}[/tex] ----> by TOA (opposite side divided by the adjacent side)

substitute the given values

[tex]tan(74^o)=\frac{555}{AC}[/tex]

solve for AC

[tex]AC=\frac{555}{tan(74^o)}=159.14\ ft[/tex]

therefore

Elijah is  standing from the base of the monument 159.14 feet

Answer:

Step-by-step explanation:

9 * 44 =

9 (40 + 4) =

9(40) + 9(4) =

360 + 36 = 396

Final answer:

To mentally calculate 9 x 44, use the distributive property by multiplying 9 by 40 and 9 by 4, then adding the results to get 396.

Explanation:

The question asks how to mentally calculate 9 x 44 using the distributive property. To do this, you can break down the multiplication into simpler parts. First, use the distributive property to express 44 as the sum of 40 and 4. Multiply 9 by each part:

9 x 40 = 360

9 x 4 = 36

Then, add the two results together:

360 + 36 = 396

So, 9 x 44 equals 396.

Answer:

the answer is D 119

hope it helps!

The sum of the interior angles of a triangle is equal to 180 degrees. Using this property, we can solve for the unknown angle in the triangle. In this case, the unknown angle is x. By setting up an equation and solving for x, we can determine that the value of x is B) 21.

The answer is B. 21.

The sum of the angles in a triangle is 180 degrees. So, we have the following equation:

(5x+14) + 40 + x = 180

Combining like terms, we get:

6x + 54 = 180

Subtracting 54 from both sides, we get:

6x = 126

Dividing both sides by 6, we get:

x = 21

Therefore, the value of x is 21.

For such more questions on interior angles

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The solution for equation is x = -6

Solution:

Given equation is:

[tex]5(x-2) + (-9) = -7(1-x)[/tex]

We have to solve the equation

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right

Therefore, solve for brackets in given equation

[tex]5(x-2) + (-9) = -7(1-x)\\\\5x - 10 -9 = -7 + 7x[/tex]

Solve for terms in left hand side of equation

[tex]5x - 19 = -7+7x[/tex]

Move the variables to one side and constants to other side

[tex]7x -5x = -19+7\\\\2x = -12\\\\Divide\ both\ sides\ by\ 2\\\\x = -6[/tex]

Thus the solution for equation is x = -6

Yo sup??

The answer to your question is option 1 ie

s=rootindex 3 startroot 27 endroot

because we know that

Volume of cube=s^3

27=s^3

s=27^1/3

Hope this helps.

Answer: A? It’s A

Step-by-step explanation:

Answer: Trapezoid

Step-by-step explanation:

A trapezoid is a quadrilateral with one pair of parallel sides.

A parallelogram has two pairs of parallel sides

Final answer:

To convert gallons to liters, use the conversion factor of 1 gallon being equal to 3.8 liters to find that there are approximately 120.1 liters of oil in the barrel.

Explanation:

To convert gallons to liters, we need to use the conversion factor of 1 gallon being equal to 3.8 liters.

Calculate the total liters in the barrel: 31.6 gallons * 3.8 liters/gallon = 120.08 liters

Therefore, there are approximately 120.1 liters of oil in the barrel.