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Lilit [14]
2 years ago
12

The sum of three numbers is 127. The second number is 4 times the third. The first number is 7 more than the third. What are the

numbers?
Mathematics
1 answer:
natka813 [3]2 years ago
3 0

Answer:

  27, 80, 20

Step-by-step explanation:

Let t represent the third number. The second number is 4 times that, 4t. The first number is 7 more than the third, so is (t+7). The sum of the three numbers is ...

  (t+7) + 4t + t = 127

  6t +7 = 127 . . . . . .  collect terms

  6t = 120 . . . . . . . . .subtract 7

  t = 20 . . . . . . . . . . . divide by 6; the 3rd number is 20

  4t = 80 . . . . the second number is 80

  t+7 = 27 . . . the first number is 27

The three numbers are 27, 80, and 20.

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If anyone knows the answer to these can u please help? thank you! :)
Dennis_Churaev [7]

Answers:

  • A) Ray QS or Ray QR
  • B)  Line segment QS or SQ
  • C)  Plane QSR
  • D)  Line QS or RQ

=======================================================

Explanation:

Part A)

When naming a ray, always start at the endpoint. This is the first letter and we'll start with point Q.

The second letter is the point that is on the ray where the ray aims at. We have two choices S and R as they are both on the same ray. That's why we can name this Ray QS and Ray QR.

--------------------

Part B)

A segment is named by its endpoints. The order of the endpoints doesn't matter so that's why segment QS is the same as segment SQ. To me, it seems more natural to read from left to right, so QS seems better fitting (again the order doesn't matter).

--------------------

Part C)

When forming a plane, you need 3 noncollinear points. The term "collinear" means the points all fall on the same line. So these three points cannot all fall on the same straight line. In other words, we must be able to form a triangle of some sort.

So that's how we get the name "Plane QSR". The order of the letters doesn't matter.

--------------------

Part D)

To name a line, we just need to pick two points from it. Any two will do. The order doesn't matter. So that's how we get Line QS and Line RQ as two aliases for this same line. It turns out that there are 6 different ways to name this line.

  1. Line QR
  2. Line QS
  3. Line RQ
  4. Line RS
  5. Line SQ
  6. Line SR
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