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In parallelogram WXYZ, the shorter sides are half the length of the longer sides.


Parallelogram W X Y Z. The length of sides W X and Z Y are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to Angle W.


Which statements are true? CHECK ALL THAT APPLY.

A. Quadrilateral WXYZ is a rectangle.

B. The quadrilateral has opposite sides that are parallel.

C. The quadrilateral has opposite angles that are congruent.

D. If W X = 12 in., then X Y = 6 in.

E. Side WZ must be 12 inches.

F. mAngle Z = measure of angle X

G. Measure of angle W = 120 degrees

H. Measure of angle Z = 120 degrees

Answer:

The answer is B {y | y ≥ –8}

Step-by-step explanation:

I just did it

Answer:

(B) {y | y ≥ –8}

Step-by-step explanation:

On a coordinate plane, an absolute value graph has a vertex at (6, negative 8).

The function g(x) = |x – 6| – 8 is graphed. What is the range?

{y | y > –8}

{y | y ≥ –8}

{y | y < –8}

{y | y is all real numbers}

Answer:

[tex](61-h)[/tex]

Step-by-step explanation:

Total number of hits by baseball player in one season = 61

Number of hits in one game = [tex]h[/tex]

To find:

The expression to represent the number of hits that the player got in the rest of the games = ?

Solution:

Number of hits that the player got in one game = [tex]h[/tex]

Let the number of hits that the player got in rest of the games = [tex]x[/tex]

As per the given question statement,

The sum of [tex]h[/tex] and [tex]x[/tex] will be equal to 61.

[tex]h+x=61\\\Rightarrow \bold{x =61-h}[/tex]

Therefore, the player had [tex](61-h)[/tex] hits in the rest of the games.

Answer:

25000 Meters high

Step-by-step explanation:

2500 x 10 = 25000

9514 1404 393

Answer:

  a) f: all real numbers except 1 and 2; g: all real numbers except 2

  b) f(x) = 5/(x -2) . . . . x = 2 is a vertical asymptote

  c) f(x) = -5/4, -5/3, -5/2, undefined, undefined, 5, 5/2

      g(x) = -5/4, -5/3, -5/2, -5, undefined, 5, 5/2

  d) f(x) is also undefined at x=1

Step-by-step explanation:

a) Any question about the domain of a function concerns the values of the variable for which the function is defined, or not. A rational function, such as these, will be undefined when its denominator is zero. So the question of domain becomes a question of the values of x that make the denominator zero.

The zeros of the denominator of f(x) can be found by factoring it.

  x^2 -3x +2 = (x -1)(x -2)

These factors are zero when x=1 and when x=2. Hence, these values are excluded from the domain of f(x).

  domain of f(x): all real numbers except x=1 and x=2

Then, by inspection, the domain of g is similar, but a little different:

  domain of g(x): all real numbers except x=2

__

b) Based on our work for part (a), we find that f(x) can be factored and simplified like this.

  [tex]f(x)=\dfrac{5x-5}{x^2-3x+2}=\dfrac{5(x-1)}{(x-1)(x-2)}\\\\\boxed{f(x)=\dfrac{5}{x-2}\quad x\ne1}[/tex]

There will be a vertical asymptote at x=2. The attachment shows a graph of f(x) with its vertical asymptote.*

__

c) The difference between the two functions is that f(x) is undefined at x=1.

  x = -2, -1, 0, 1, 2, 3, 4

  f(x) = -5/4, -5/3, -5/2, undef, undef, 5, 5/2

  g(x) = -5/4, -5/3, -5/2, -5, undef, 5, 5/2

__

d) The functions differ in that f(x) is undefined at x=1, whereas g(x) is not.

_____

* The fact that f(x) is undefined at x=1, but there is no vertical asymptote at that point, means the function has a "hole" in its graph there. This is illustrated on the graph by an open circle, meaning the function is not defined at that point.

Answer:

-10

Step-by-step explanation:

So its A :}

Answer:

z = 13

hope it helps ;))

Answer:

1 bedroom = $280

2 bedroom = $400

3 bedroom = $560

Step-by-step explanation:

Given that :

Total rent received = 1240

Rent amount of 3 bedroom = 2 times rent of 1 bedroom

Let 1 bedroom = x

2 bedroom = y

3 bedroom = 2x

x + y + 2x = 1240

3x + y = 1240 ---(1)

Repair cost :

10% of x = 0.1x

20% of y = 0.2y

30% of 2x = 0.6x

0.1x + 0.2y + 0.6x = 276

0.7x + 0.2y = 276 - - - (2)

From (1)

y = 1240 - 3x

0.7x + 0.2(1240 - 3x) = 276

0.7x + 248 - 0.6x = 276

0.1x + 248 = 276

0.1x = 28

x = $280

1 bedroom = $280

3 bedroom = $280 * 2 = $560

2 bedroom = $1240 - $840 = $400

The like terms combined and equivalent expressions are given below.

Given are the following expressions -

a. 4x + 3x

b. 3x + 5x – 1

c. 5 + 2x + 7 + 4x

d. 4 - 2x + 5x

e. 10x – 5 + 3x – 2

We have -

[A] -

4x + 3x

4x + 3x = 7x

[B] -

3x + 5x – 1

3x + 5x – 1 = 8x - 1

[C] -

5 + 2x + 7 + 4x

5 + 2x + 7 + 4x = 6x + 12 = 6(x + 2)

[D] -

4 - 2x + 5x

4 - 2x + 5x = 3x + 4

[E] -

10x – 5 + 3x – 2

10x – 5 + 3x – 2 = 13x - 7

Therefore, the like terms combined and equivalent expressions are given above.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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Answer:

a) x=40

b) x=3

c) x=40

d) x=35

e) x=9.6

Step-by-step explanation:

1. Cross multiply.

2. Divide.

Answer:

No

Step-by-step explanation:

Given that:

Plastic sleeves needed = 250

Number of baseball cards = 3084

Sleeves held per card = 12

To determine the number of sleeves needed ;

Number of baseball cards / number of sleeves per card

= 3084 / 12

= 257

No, I do not agree with Roberts, from the calculation above, the number of plastic sleeves needed is 257

Answer:

30 minutes it’s just the numbers of Apple times 2

Step-by-step explanation:

Answer:

[tex]\%\ Increase = 175 \%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 4[/tex]

[tex]New = 11[/tex]

Required

Determine the percentage increase

This is calculated using the following formula:

[tex]\%\ Increase = \frac{|New - Initial|}{Initial} * 100\%[/tex]

[tex]\%\ Increase = \frac{|11 - 4|}{4} * 100\%[/tex]

[tex]\%\ Increase = \frac{|7|}{4} * 100\%[/tex]

[tex]\%\ Increase = \frac{7}{4} * 100\%[/tex]

[tex]\%\ Increase = 1.75 * 100\%[/tex]

[tex]\%\ Increase = 175 \%[/tex]

Answer:

true, i feel ya.

Answer:

3  

Step-by-step explanation:

you can do it sequentially and find a potential solution; when you divide the thing, it looks like this

    __2_3_4_0_8________________  

4    | 936_2

       4

_________

      13

      12

__________

       16

       16

-________

0

0

________

      32

     32

_______

0

Answer:

1, 3, 5, 7, 9

{I guess it's just odd numbers}

Happy Thanksgiving!

Answer:

2

Step-by-step explanation:

The multiplicative inverse of 1/2 is 2. To determine the multiplicative inverse of a number, we use the following rule: The multiplicative inverse...

Answer:

true

Step-by-step explanation:

Answer:

y = 2x + 9

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope m = 2

y-intercept b = 9

Step 2: Write linear equation

Slope-Intercept Form:   y = 2x + 9

Answer:

The function is C(t)=20 + $2.50X

Total amount is $30

Step-by-step explanation:

Manuel has already sold $20 worth of tickets to the school play, He has 4 tickets left to sell at $2.50 per ticket

It means he sell 1 ticket for $2.50

Then he sold the $20 worth of tickets to the school play at $2.50 per ticket i.e $20/2.50= 8 tickets which means he sold 8 tickets for $20.

If He has 4 tickets left to sell at $2.50 per ticket

Then he will sell at ($2.50×4)=$10

Then total tickets sold= $10+$20= $30

LET US WRITE THE FUNCTION NOW

The function for the total amount collected from ticket sales can be written as

C(t)=20 + $2.50X

Where X is the number of tickets to be sold

C(t) = total amount

$20= initial sold

If He has 4 tickets left to sell then

C(t)=20 + $2.50(4)

C(t)= 20+10= $30

Answer:

FV= $18,213.18

Step-by-step explanation:

First, we need to calculate the monthly real interest rate:

Daily interest rate= 0.08/360= 0.00022

Monthly interest rate= (1.00022^30) - 1

Monthly interest rate= 0.0066

Assuming a year of 360 days, and months of 30 days.

Now, we can determine the future value of the investment:

Monthly deposit= $100

Number of periods= 10*12= 120

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {100*[(1.0066^120) - 1]} / 0.0066

FV= $18,213.18

Answer:

What is the equation, it’s hard to understand

Step-by-step explanation:

Answer:

I believe it is A......

Answer:

C.)

Step-by-step explanation:

180 = 6x + (2x - 32)

212 = 8x

26.5 = x

y = 2x - 32

y = 21

Answer: you answer is -$150

Step-by-step explanation:

450 minus 200 minus 200 minus 200 and you get -$150

Answer:

[tex]\huge\boxed{\text{Axis of Symmetry: } y = 2}[/tex]

[tex]\huge\boxed{\text{Vertex: } (-3, 2)}[/tex]

Step-by-step explanation:

We need to note a few basic rules about focuses and directrix’s of a parabola.

1. The directrix never touches the parabola, however it is perpendicular to the axis of symmetry

2. The focus never touches the parabola, however it lies on the axis of symmetry of the parabola

3. The directrix is always the same distance away from the vertex as the focus

If we know that the focus of the parabola is (0, 2) and the directrix lies on x=-6. that means these points are 6 units apart as we can assume the line x = -6 crosses the point (-6, 2), making these points 6 units apart (since |-6 - 0| = 6)

These are 6 points apart horizontally, via the x-axis, meaning that this is a horizontally facing parabola, and it opens to the right. We know it can’t open to the left because then the directrix (x = -6) would touch the parabola and then it wouldn’t be a directrix!

The vertex of the parabola will be the same distance away from the focus and the directrix. Since these are 6 units apart, that means the focus will lie [tex]6 \div 2 = 3[/tex] units away from either one.

Halfway between 0 and -6 is -3, so we know the vertex lies on x-coordinate -3. We also know that the focus is on y-value 2, meaning that the vertex will also be on y = 2, since the focus is always on the axis of symmetry.

So our vertex is at [tex](-3, 2)[/tex].

We know that this is a horizontally facing parabola, meaning that our axis of symmetry is going to lay on a y coordinate. The axis of symmetry always contains the vertex, so that means that we can just take the y value of the vertex and use that as the axis of symmetry. The vertex lies at y value 2, meaning that the axis of symmetry is [tex]y=2[/tex]

In conclusion

Hope this helped!

Answer:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees. First convert the percentage into a decimal. If you multiply 360 by 0.90, you get the degree measure that corresponds to the percentage, which is 324.

Step-by-step explanation:

A softball team is ordering pizza to after the tournament they plan to order a cheese pizza(c) that cost eight dollars each and pepperoni pizza(P) cost $12 each gotten from the odyssey pizzas.

Which expression represents the total cost of all of the pizzas they order?

Answer:

t = 8c + 12P

Step-by-step explanation:

We are told that cheese pizza(c) costs eight dollars.

This means for c number of cheese pizzas, cost is $8c

Also, we are told that cost of pepperoni pizza is $12 each.

So, for P number of pepperoni pizzas, the cost is $12P

Therefore expression of total cost(t) will be the sum of the cost of c number of cheese pizzas and P number of pepperoni pizzas.

Thus;

t = 8c + 12P

Answer:

It's five hundred thousand each.

Step-by-step explanation:

Plz give Brainliest!!!

8000 pounds is required to produce 200 lb of refined sugar

It takes 200 lb of sugar cane to produce 5 lb of refined sugar

For 1 lb of sugar cane, the number of refined sugar that will be produced is

200= 5

x= 1

cross multiply

5x= 200

x= 200/5

x= 40

The number of pounds of sugar cane required to produce 200 lb of refined sugar is

= 40 × 200

= 8,000

Hence 8000 pounds of sugar cane is required to produce 200 lb of refined sugars

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