find the area of this parallelogram. be sure to include the correct unit in your answer

Answer: (2, 5)

Step-by-step explanation:

y = 2x + 1 y = 4x − 3

Eliminate the equal sides of each equation and combine.

2x + 1 = 4x − 3

Solve 2x + 1 = 4x − 3 for x.

Move all terms containing x to the left side of the equation.

Subtract 4x from both sides of the equation.

2x + 1 − 4x = −3

Subtract 4x from 2x.

−2x + 1 = −3

Move all terms not containing x to the right side of the equation.

Subtract 1 from both sides of the equation.

−2x = −3 − 1

Subtract 1 from −3.

−2x = −4

Divide each term by −2 and simplify.

x = 2

Evaluate y when x = 2.

Substitute 2 for x. y = 4 (2) − 3

Simplify 4 (2) − 3.

Multiply 4 by 2.

y = 8 − 3

Subtract 3 from 8.

y = 5

The solution to the system is the complete set of ordered pairs that are valid solutions.

(2, 5)

The result can be shown in multiple forms.

Point Form:

(2, 5)

Equation Form:

x = 2, y = 5

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

HOPE THIS HELPSSSS

Answer:

CP = 25

SP = 24

Loss = CP - SP

=> 1

Loss% => Loss × 100/25

=> 1×4

=> 4% Loss

Hello!

[tex]\large\boxed{JM = 8 \text{ units } }[/tex]

As solved in the previous question:

2x - 4 = 4x - 16

x = 6

Plug in this value of x into the expression for JM:

4(6) - 16 =

24 - 16 = 8 units.

The answer is 9w + 12

hope this helps!

Answer:

9w + 12

Step-by-step explanation:

First, add the 7w and the 2w

7w + 2w = 9w

Second, add 3 and 9

3 + 9 = 12

Last, add the two together

9w + 12 =

Hope this helps!

Answer:

B: y=sinx

Step-by-step explanation:

the parent sine function is a repeating function that goes from 0 to 1, with sin(0)=0 sin(pi/2)=1 sin(pi)=0 sin(3pi/2)=-1 and sin(2pi)=0, π≈3.1415926 and we see on this graph that the graph matches at all these major points.

the cosine parent function is essentially the same thing but shifted to the left by π/2. It is essential to familiarize yourself with the unit circle and the key angles and their respective sin and cosine values.

The answer is y = sin x!!

Answer:

x= 15

Step-by-step explanation:

Answer:

Step-by-step explanation:

what the hell is this

Answer:

it should be that

Step-by-step explanation:

EQUATION GIVES YOU  IF YOU KNOW

v=d/t Speed Distance time

d = v x t Distance Speed and time

t = d/v Time Distance and speed

Answer: yes, the transformation is a dilation.

Answer:

angle ABD=28 degrees

Step-by-step explanation:

Diagonals of a rhombus are perpendicular so all angles at point E are 90 degrees.

Diagonals of a rhombus also bisect the corner angles.

therefore:

angle CBD=ABD

angle CBD=90-62=28 degrees

so angle ABD=28 degrees

False, they're perpendicular

Answer:

False

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

To solve this question you will need to use BEDMAS which is the order of which numbers you have to solve first. In this case you need to solve the brackets first, then the exponent, and then lastly the addition.

 3^3 + 3(4 + 1/3)

= 3^3 + 3(13/3)

= 27 + 3 x 13/3

= 27 + 13

= 40

Answer:

700

Step-by-step explanation:

multiple 175 × 4 to get to 100%

The equation shows the various numbers of hours you can work at each job are 5.50C + 6L = 250, and C + L = 44, so option A is correct.

Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

Given:

You work a total of 44 hours per week at your two jobs, Your job as a store clerk pays $5.50 an hour, and your job as a landscaper pays $6.00 an hour, and the total money to be earned is $250 per week.

Calculate the equation as shown below,

5.50C + 6L = 250 and C + L = 44

Solve the above equation by using the elimination method,

C = 28 hours and L = 44 - 28 = 16 hrs

Therefore, the equation shows the various numbers of hours you can work at each job are 5.50C + 6L = 250, and C + L = 44.

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Answer:

ZD= OY= 42

DO= ZY= 25

YV= VD= 60/2= 30

ZV= OV= 18

Step-by-step explanation:

Parallelogram is same as rectangle so opposite side will be same, just like rectangle. and for diagnoal, V bisect both diagnoal so, ZV=VO and YV=VD

Hope this helps!!

Answer:

525 yd should be your answer

Step-by-step explanation:

Answer:

[tex]Black = 4[/tex]

[tex]White = 16[/tex]

Step-by-step explanation:

Given

[tex]Black : White = 1 : 4[/tex]

[tex]Total = 20[/tex]

Required

Determine the number of each type used

Convert each ratio to fraction.

For Black, we have:

[tex]Black = \frac{1}{1 + 4} = \frac{1}{5}[/tex]

For White, we have:

[tex]White = \frac{4}{1 + 4} = \frac{4}{5}[/tex]

The number of tiles for each is then calculated as:

[tex]Black = \frac{1}{5} * Total[/tex]

[tex]Black = \frac{1}{5} * 20[/tex]

[tex]Black = \frac{20}{5}[/tex]

[tex]Black = 4[/tex]

[tex]White = \frac{4}{5} * Total[/tex]

[tex]White = \frac{4}{5} * 20[/tex]

[tex]White = \frac{4 * 20}{5}[/tex]

[tex]White = \frac{80}{5}[/tex]

[tex]White = 16[/tex]

Answer:

H. 2.5

Step-by-step explanation:

we know that ∆ABC similar to ∆ DEF

so , DE= 2.5

:-))

Answer:

35

Step-by-step explanation:

let the corresponding side of larger triangle be x .

Then,

2/5=14/x

→2x=70

→ x=35

Therefore the answer is 35

Answer:

$275.562

Step-by-step explanation:

Step 1

Find the discounted price

Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked.

Discount = $315 × 19%

= $59.85

Discounted price = $315 - $59.85

= $255.15

Step 2

Sale Tax

She had to pay an 8% sales tax on the amount she actually paid for the bike

Hence:

$255.15 × 8%

Sale Tax = $20.412

Step 3

The total cost of the bike including tax is calculated as:

$255.15 + $20.412

= $275.562

Answer:

20

Step-by-step explanation:

Answer:

y°=70

Step-by-step explanation:

the angles inside a triangle must add up to 180 degrees, and thus the unknown interior angle is 180°-40°-30°=110°

this interior angle and the exterior angle are supplementary to each other and thus 110°+y°=180°

so y°=70°

you could also have used the theorem that states that the interior angles sum not adjacent to the exterior angle would equal the exterior angle

Answer:

I already answered this question, the answer is A

12[tex]\pi[/tex]m

Answer:A

Step-by-step explanation:A

4) 7h

5) 9k

6) 5b + 8

7) 1/8x - 5/6

8) -7c - 2d

9) -17y - 16z

just add like terms. i hope this helps :)

Answer:

C

Step-by-step explanation:

Slope of UV = 0 = Slope of XW

So UV is parallel to XW.

Slope of UX = [6-(-4)]/[-7-(-3)] = -5/2

Slope of VW = [6-(-4)]/(0-4) = -5/2

Slope of UX = Slope of VW i.e. UX is parallel to VW.

It is a parallelogram because opposite sides are parallel.

Answer:

Yes, because opposite sides are parallel.

Step-by-step explanation: I took the test

Answer:

B)

Step-by-step explanation:

For the function [tex]y=-5x[/tex], all coordinates this line passes through should make this inequality true.

[tex]\begin{case}y=5(-7)=35\\y=-2(-5)=10\\y=2(-5)=-10\end{case}[/tex]

This corresponds with table B.

Answer:

The density of the marble is 2,000 kg/m³

Step-by-step explanation:

The given parameters for finding the density of the marble are;

The volume of water in the graduated cylinder, v₁ = 20 ml

The mass of the marble dropped into the graduated cylinder, m = 8 g

The new volume of the cylinder after the 8 g marble is dropped into the cylinder, v₂ = 24 ml

Therefore, the volume of the marble, v = v₂ - v₁

Substituting the known values gives;

The volume of the marble, v = 24 ml - 20 ml = 4 ml

Density, ρ = Mass, m/(Volume, v), the units of density is kg/m³

Therefore, the density of the marble, [tex]\rho _{marble}[/tex], is given as follows;

[tex]\rho _{marble}[/tex] = m/v = (8 g)/(4 ml) = 2 g/ml

1 g/ml = 1 kg/l = 1,000 kg/m³

∴ [tex]\rho _{marble}[/tex] = 2 kg/l = 2,000 kg/m³.

Answer:

-4/3 hrs

Step-by-step explanation:

trust me I just got it right ;)

The hour change rate is [tex]-\frac{4}{3}[/tex]

'A scatter plot uses dots to represent values for two different numeric variables.'

According to the given problem,

Since the data shows mostly a linear trend, we can draw a line to estimate the rate of change.

The line approximately goes through (0,23) and (12,7).

Using the slope formula,

m = [tex]\frac{y_{2}- y_{1} }{x_{2}-x_{1} }[/tex]

Substituting the respective values,

m = [tex]\frac{7-23}{12-0}[/tex]

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

Hence, we can conclude that each additional hour spent on video games is associated with approximately a [tex]-\frac{4}{3}[/tex] hour change in time spent on homework on average.

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a. The Length of the fence around the field = perimeter of quarter circle is  892.7 ft.

b. The area of the outfield is 39,584 sq. ft..

Note that:

a. The length of the fence around the field = perimeter of the quarter circle fence

= 2r + 1/4(2πr).

r = 250 ft

Put in the value

The length of the fence around the field = 2(250) + 1/4(2 × π × 250)

= 892.7 ft.

b. Size of the outfield = area of the full field (quarter circle) - area of the infield (cicle)

= 1/4(πR²) - πr²

R = radius of the full field = 250 ft

r = radius of the infield = 110/2 = 55 ft

Put in the values

Size of the outfield = 1/4(π × 250²) - π × 55²

= 49,087 - 9,503

= 39,584 sq. ft.

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