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Yuki888 [10]
2 years ago
9

The sum of measures of alternate interior angles of two parallel lines is 210°. What are the measures of these angles?

Mathematics
1 answer:
torisob [31]2 years ago
5 0
The answer is 105. Alternate interior angles of two parallel lines are congruent(meaning they are the same). 210/2=105, also the answer has to be below 180 degrees but more than 0.
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Three Texas drovers met on a highway and began to dicker as follows:
Alik [6]

Answer:

  • Jim's: 7
  • Duke's: 21
  • Hank's: 11

Step-by-step explanation:

Let J, D, and H represent the drove sizes of Jim, Duke, and Hank.

  2(H -6 + 1) = (J +6 -1) . . . . . Hank's offer

  3(D -14 +1) = (H +14 -1) . . . . Duke's offer

  6(J -4 +1) = (D +4 -1) . . . . . . Jim's offer

These equations can be simplified to ...

  2H - J = 15

  3D - H = 52

  6J - D = 21

__

<u>Solution</u>

Adding twice the second equation to the first gives ...

  2(3D -H) +(2H -J) = 2(52) +(15)

  6D -J = 119

Adding 6 times the third equation to this one gives ...

  6(6J -D) +(6D -J) = 6(21) +(119)

  35J = 245

  J = 7

Using this value in the third equation gives ...

  6(7) -D = 21

  42 -21 = D = 21

Using the value of J in the first equation gives ...

  2H -7 = 15

  H = (15 +7)/2 = 11

Then the solution is (J, D, H) = (7, 21, 11).

Jim's drove had 7 animals; Duke's drove had 21 animals; Hank's drove had 11 animals.

5 0
3 years ago
I don’t understand how to do 8. , 9. , and 10.
kenny6666 [7]

Answer:

11 12 13 14 15 16 17 18 19 20 21 22

7 0
2 years ago
Which statements are true about a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4 centime
Evgesh-ka [11]

Answer:

I did not get this one right, but I will tell you that I know a lot of people, including me who put:

B and D.

Those two together are NOT right. and the other question I got wrong was number 5. That answer is not D. So don't put that. Everything else, I got correct.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Stacy is selling tickets for the school play. She has a total of 200 seats available, and there will be two types of tickets off
Ganezh [65]

She sold 74 child tickets and 126 adult tickets

Step-by-step explanation:

Stacy is selling tickets for the school play

  • She has a total of 200 seats available, and there will be two types of tickets offered, child and adult tickets
  • She sold each child ticket for $6 , each adult ticket for $10 , and made a total of $1704

We need to find how many of each ticket  she sold

Assume that x is the number of child tickets and y is the number of the adult tickets

∵ She has a total of 200 seats available

∵ She sold x child tickets

∵ She sold y adult tickets

- Add x and y, then equate the sum by 200

∴ x + y = 200 ⇒ (1)

∵ She sold each child ticket for $6

∵ She sold each adult ticket for $10

∵ She made a total of $1704

- Multiply x by 6 and y by 10, then add the products and

   equate them by 1704

∴ 6x + 10y = 1704 ⇒ (2)

Now we have a system of equation to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -2000 ⇒ (3)

- Add equations (2) and (3) to find x

∴ -4x = -296

- Divide both sides by -4

∴ x = 74

- Substitute the value of x in equation (1) to find y

∵ 74 + y = 200

- Subtract 74 from both sides

∴ y = 126

She sold 74 child tickets and 126 adult tickets

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

6 0
3 years ago
Please help.
ryzh [129]

Answer:

E and D

Step-by-step explanation:

3 0
3 years ago
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