1. Given two parallel lines cut by a transversal, which sets of angles created are congruent?A. alternate interior angles
B. adjacent angles
C. interior angles on the same side of the transversal
D. supplementary angles
2. In the given figure, line p is parallel to line q. Which of the following describes the relationship between angles 8 and 6?
A. complementary angles
B. alternate interior angles
C. corresponding angles
D. vertical angles
3. In the given figure, line p is parallel to line q. Which of the following describes the relationship between angles 3 and 7?
A. complementary angles
B. alternate interior angles
C. corresponding angles
D. vertical angles
4. Which of the following is a characteristic of corresponding angles formed by two parallel lines and a transversal? (1 point)
A. Their measures are equal.
B. They are complementary.
C. Their measures are different.
D. They are supplementary.
5. Which of the following is a characteristic of alternate interior angles formed by two parallel lines and a transversal?
A. Their measures are different.
B. Their are complementary.
C. They are always supplementary.
D. Their measures are equal.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

D supplementary angles

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Which of the following is a number set that contains the number –5?

Answers

A set of negative numbers would contain the number -5.

A set of negative odd numbers would also contain the number -5.

Calculate the loss on selling 50 shares of stock originally bought at 133/4 and sold at 12

Answers

The answer is $87.50. You buy 50 shares of stock for 13 3/4 each: 50 * (13 3/4) = 50 * (13 + 3/4) = 50 * (52/4 + 3/4) = 50 * 55/4 = $687.50. You sell 50 shares of stock for 12 each: 50 * 12 = $600.00. So, the loss on selling 50 shares of stock originally bought at 133/4 and sold at 12 is: $687.50 - $600.00 = $87.50.

Karen is 6 years older than Michelle and Michelle is 2 years younger then their brother. The sum of their ages is 62 how old is michelle

Answers

Let Karen, Michelle and their brother be represented by constants k, m and b respectively.

According to your question,

k = 6 + m
b = m + 2
k + b + m = 62.

Substituting for k and b in equation 3,

(6 + m) + (m + 2) + m = 62

= 3m + 8 = 62

3m = 54
m = 18.

Thus, k = 6 + m = 24
b= m + 2 = 20.

Thus, Karen's age is 24, Michelle's age is 18 and their brother's age is 20

Determine the solution of the equation x2 = 36. Select each correct answer.A. x = -46
B. X = 6
O C. X = 18
D. X = -6
O E. X = 16
O Ex= -18

Answers

Answer:

C. x=18 is the answer

Step-by-step explanation:

X2 = 36

x = 36÷2

x = 18

the student council is organizing a trip to a rock concert. all proceeds from ticket sales will be donated to a charity. tickets to the concert cost $31.25 per person if a minimum of 104 people attend. for every 8 extra people that attend, the price will decrease by $1.25 per person.a). how many tickets need to be sold to maximize the donation to charity?b). what is the price of each ticket that maximizes the donation?c). what is the maximum donation?

Answers

I got the maximum donation $152

Final answer:

To maximize the donation to charity, a total of 117 tickets need to be sold. The price per ticket that maximizes the donation is $29.0625. The maximum donation is $3,400.3125.

Explanation:

To maximize the donation to charity, we need to determine the number of tickets that need to be sold and the price per ticket that will result in the maximum donation.

a) To find the number of tickets, we can start with the minimum attendance requirement of 104 people. For every 8 extra people that attend, the price decreases by $1.25. So the number of extra people is calculated by dividing the total increase in price ($31.25 - $30) by the decrease per person ($1.25), which is 8. Therefore, the number of extra people is 13. To find the total number of tickets, we add the minimum attendance of 104 people and the number of extra people of 13. So the total number of tickets that need to be sold to maximize the donation to charity is 117.

b) To find the price per ticket, we start with the price of $31.25 and take into account the decrease of $1.25 for every 8 extra people. We can calculate the price decrease per person by dividing $1.25 by 8, which is $0.15625. To find the price per ticket, we subtract the decrease per person from the initial price, multiplied by the number of extra people. So the price per ticket that maximizes the donation is $31.25 - ($0.15625 × 13) = $29.0625.

c) To find the maximum donation, we multiply the price per ticket by the total number of tickets sold. So the maximum donation is $29.0625 × 117 = $3,400.3125.

Learn more about Maximizing donation to charity here:

brainly.com/question/31888282

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A book is marked down by 28 percent from an original price of $19.50. What is the new price?

Answers

Answer: The new price of the book = $14.04

Step-by-step explanation:

We are given that, the original price of book = $19.50

Price marked down by 28 percent, that means the original price of the book was decreased by 28%.

Also, 28%= 0.28 [we divide % by 100 to convert it into decimal]

Then , the new price is given by :-

New price = (Original price) - ( Marked down percentage) x (Original price)

= ($19.50)- (0.28) ($19.50)

= ($19.50)(1-0.28)

= ($19.50) (0.72)

= $14.04

Therefore , the new price of the book = $14.04

First find 28% of $19.50:

($19.50) / (100) x (28) = $5.46

Now minus the 285 from the original price:

($19.50) - ($5.46) = $14.04

The answer is $14.04
Hope it helped :)

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Line AB contains points A (1, 2) and B (−2, 6) The slope of line AB is a)zero b)undefined c)positive d)negative The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD? Line CD contains points A (4, 6) and B (−2, 6). The slope of line CD is Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (−2, 2). Lines QR and ST are The equation of line QR is y = negative 1 over 2x + 1. Write an equation of a line perpendicular to line QR in slope-intercept form that contains point (5, 6). The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5). Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (−2, 2). Lines QR and ST are parallel because the product of the slopes is −1 perpendicular because the product of the slopes is −1 parallel because the slopes are the same perpendicular because the slopes are the same Question 2 (06.02 LC) The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD? 1 over 2 2 negative 1 over 2 −2 Question 3 (06.02 LC) Line CD contains points A (4, 6) and B (−2, 6). The slope of line CD is zero undefined positive negative Question 4 (06.02 MC) The equation of line QR is y = negative 1 over 2x + 1. Write an equation of a line perpendicular to line QR in slope-intercept form that contains point (5, 6). y = 2x + 16 y = negative 1 over 2x + 17 over 2 y = − 1 over 2x + 7 over 2 y = 2x − 4 Question 5 (06.02 MC) The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5). y = −2x + 13 y = negative 1 over 2x + 7 y = 1 over 2x + 3 y = − 2x − 3

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Which of the following statements is INCORRECT?A. A triangle with three congruent sides is equiangular. B. The Isosceles Triangle Theorem can be applied to equilateral triangles. C. The measure of each angle of an equilateral triangle is 120°. D. A triangle with three congruent angles is equilateral.