Which relationship exists between the two angles? What is the value of x? Find the measure of each angle. A) vertical angles; x = 3; 76 degrees; 76 degrees B) alternate exterior angles; x = 5; 116 degrees; 64 degrees C) corresponding angles: x = 7; 156 degrees; 156 degrees D) alternate exterior angles; x = 5; 116 degrees; 116 degrees Eliminate

Answers

Answer 1
Answer:

Answer:

Option D.

Step-by-step explanation:

Diagram is missing, let as consider the diagram of this question is shown below.

If a transversal line intersect two parallel lines, then the alternate exterior angles are equal.

From the given figure it is clear that both angles alternate exterior angles. It means measure of both angles are equal.

21x+11=20x+16

Subtract 20x from both sides.

21x+11-20x=20x+16-20x

x+11=16

Subtract 11 from both sides.

x+11-11=16-11

x=5

The value of x is 5.

Measure of each angle is

21x+11=21(5)+11=116^(\circ)

20x+16=20(5)+16=116^(\circ)

Therefore, the correct option is D.

Answer 2
Answer:

Answer:

D is the correct answer

Step-by-step explanation:


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There are ten cards, each has a different number on it, from 1 to 10. Sam took one card, and it was 5 on it. If he takes one of the remaining cards without looking, what is the probability that the sum of the numbers on his two cards will be smaller than 8?

Answers

there are 9 cards left

1,2,3,4,6,7,8,9,10

the only cards that will make the sum less than 8 is 1 and 2

2/9

Answer: 2/9

Answer:

2/9

Step-by-step explanation:

The original group of cards consisted of: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

He took a 5.

The current group of cards consists of: 1, 2, 3, 4, 6, 7, 8, 9, 10

Which cards can he take and have a sum less than 8?

5 + 1 = 6   good

5 + 2 = 7    good

5 + 3 = 8    not good

Only the cards with 1 or 2 are good.

There are 9 cards remaining, and he gets the desired outcome from only 2 of those cards.

p(sum less than 8) = 2/9

Covert 5 inches per second to feet per minute

Answers

Answer:

25

Step-by-step explanation:

To convert from inches per second to feet per minute you've to multiply the value by 5.

So 5x5 = 25 feet per minute.

That's the simplest way to do it, if you want to know the advanced one i can explain it for you.

Answer:

Step-by-step explanation:

What is the solution to the proportion?  8/4=11/M Answers: A. M=3 B. M=5.5 C. M=7 D. M=22

Answers

find their lcm  which is 4m then multiply
8m=44
m=44/8 or 5.5

What is the sales rate for 5% of $50

Answers

well 5 is a percentage, so it goes over 100. soo its would be like 5%/100%  and the 50$ is like the 100% except its not a percentage.. so it would be ...    x/50

So from here, you cross multiply,so 5 times 50 equals 250 
Now You have to divide 250 by 100
So your answer is: 2.5     OR      2.50
 They're both the same. I hope i helped!!

The original price of a sweater is $36 the sale price is 85% of the original price what is the sale price of the sweater

Answers

$36 with 85% off.
You are only paying for 15% of the original price.
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Maria pies 8 1/3 pounds of beef to make tacos for party. she uses 5/9 pound of beef for each taco, how many tacos can Maria make?

Answers

number\ of\ tacos=(amount\ of\ all\ beef)/(beef\ used\ for\ one\ taco)\n\nnumber\ of\ tacos=(8(1)/(3))/((5)/(9))=\ \ \ | making\ improper\ fractions\n\nnumber\ of\ tacos=((25)/(3))/((5)/(9))=(25)/(3)*(9)/(5)=15\n\nShe\ can\ make\ 15\ tacos.