If lines ab and cd are parallel, which of the following statements are true? Check all that apply.

A. Ab and cd are skew lines
B. Ab and cd are perpendicular
C. Ab and cd intersect at a single point
D. Ab ll cd
E. Ab is perpendicular to cd
F. Ab and cd are coplanar

Answers

Answer 1
Answer: The correct answers are:
(D) ab ll cd 
(F) a
b and cd are coplanar

Explanation:
The symbol for parallel is " 
ll ". Therefore, if we translate the given sentence, ab and cd are parallel, into the Mathematical terms, we can write it as:

ab ll cd (Option D)

Where ab = line
cd = line

Furthermore, the lines ab and cd are coplanar because they form the plane. In other words, you can say that the lines ab and cd lie on the same plane. (Option F)

Hence the correct answers are:
(D) ab ll cd 
(F) ab and cd are coplanar
Answer 2
Answer: If lines ab and cd are parallel, the following statements that are true are letters D, F. 
D. Ab ll cd 
F. Ab and cd are coplanar
The rest of the choices do not answer the question above.

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Find the slope of the line through each pair Of points.1. (1,5) and (2,8)
2. (3,1) and (3,-1)

Answers

In order to find the slope between a set of points you must plug the points into the point slope formula ;  ( y2-y1 / x2-x1 )

Once you plug that in you should get the final answers of 

1. slope = 3

2. slope = -2/0 which is undefined which means this slope would be part of a vertical line

The original price p of an item less a discount of 40%

Answers

Answer:

find 40 percent of the original price and subtract it from the the original price to find the new price.

Mario has a business selling muffins. Let x be the price of a muffin. Then, the profit P for Mario’s business is given by p(x)=-100x2+350x-150 Choose the inequality that shows the business will make a positive profit.

Answers

The first question's answer is:

0<-100x^2+350x-150

The second question "Look at the factorization shown below.

0 < –100x2 + 350x – 150

0 < –50(2x2 – 7x + 3)

0 < –50(2x – 1)(x – 3)

Select the range that Mario can choose from to price his muffins and make a positive profit.

The answer is:

$0.50 < x < $3.00

Joe has been keeping track of his cellular phone bills for the last two months. The bill for the first mont was $38.00 for 100 minutes of usage. The bill for the second month was $45.50 for 150 minutes of usage. Find a linear equation that gives the total monthly bill based on the minutes of usage

Answers

The problem here is that you need to find what is the monthly fee for the telephone + the fee per minute.

Data we are looking for:

x - subscription plan
y - rate per minute

1. Finding the monthly fee (x) + rate per minute (y)

x + 150y = 45.50
x + 100y = 38.00
you have to deduct those equatations (x - x = 0, 150y - 100y = 50y, 45.5 - 38 = 7.5)

- finding rate per minute:
50y = 7.50
5y = 0.75
y = 0.15

- finding monthly fee
x + 150 *0.15 = 45.50
x = 45.50 - 22.50
x = 23.00

Looking at the data above you can see that no matter for how many minutes you use your phone you have to pay 23$. For every minute you spend talking the fee is 0.15$

That is why (z) the total amount you have to pay consist of 23 (subscription) + 0.15y (15c per minute):

z = 23 + 0.15y

Add a comment if sth is not clear

Answer:

Step-by-step explanation:

We can make 2 simultaneous equations and solve for the set fee

and the per minute charge:

 

Let x = fixed monthly rate

Let m = per minute charge

 

x + 100m = 135    {equation 1}

x + 500m = 375    {equation 2}

 

subtract equation 1 from equation 2

 

400m = 240

m = 0.6

 

substitute that back into equation 1 or 2 to solve for x.

Using equation 1

 

x + 100(.6) = 135

x + 60 = 135

x = 75

 

The fixed monthly rate is $75

The per minute charge is $0.6

*****************************

If y is the total cost for a month and x is the

number of minutes used the equation is:

 

y = 0.6x + 75

Using the information below, choose the correct answers. Amount: $200,000
Rate: 7%
Payments: 360 @ $774.50
Total Interest: $78,820.00

A. How much will be repaid for this loan? $
B. What percentage of this total is total interest?
C. What will be the average amount per payment for interest?

Answers

The right answer for the question that is being asked and shown above is that: "C. What will be the average amount per payment for interest?" Using the information below, the correct answer is C. What will be the average amount per payment for interest?

Solve for the indicated variable X/y=x-8 for x

Answers

Answer:

Therefore, the solution for x in terms of X and y is:

x = (X + 8y) / y

Step-by-step explanation:

To solve for x in the equation X/y = x - 8, we need to isolate x on one side of the equation.

Step 1: Multiply both sides of the equation by y to eliminate the denominator on the left side:

X/y * y = (x - 8) * y

Simplifying, we have:

X = xy - 8y

Step 2: Add 8y to both sides of the equation to isolate the term with x:

X + 8y = xy

Step 3: Rearrange the terms to have x on one side:

xy = X + 8y

Step 4: Divide both sides of the equation by y to solve for x:

x = (X + 8y) / y