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katrin [286]
2 years ago
8

Please answer the question below. please provide an explanation as well. thanks!

Mathematics
1 answer:
Elena-2011 [213]2 years ago
7 0

Answer:

14

Step-by-step explanation:

Since S is the midpoint of RT, then RS = ST

RS = RT - ST = (3x + 7) - (x + 7) = 3x + 7 - x - 7 = 2x

so we get that RS = 2x

but since RS = ST, and RS=2x & ST=x+7

then 2x = x + 7

       2x-x = 7

        x = 7

ST = x+7 = 7+7 = 14

P.S. Hope it makes sense. If you have any questions, feel free to ask them in the comments senction. I'll be happy to help. Have a wonderful day!

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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

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<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
What is the missing term?
pishuonlain [190]

Answer:

- 15

Step-by-step explanation:

5 * -3 = -15

4 0
3 years ago
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Step-by-step explanation:

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3 years ago
The angle of elevation from Madison to the top of the Statue of Liberty is 79 degrees. If Madison is standing 58.2 feet from its
lana66690 [7]
To solve this problem you must apply the proccedure shown below:

 1. You have the following information given in the problem:

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 -Madison is 5 feet tall.

 2. Therefore, you have:

 Sin</span>α=opposite/hypotenuse
<span>
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 3. Now, you can calculate the height of the Statue of Liberty, as below:

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4 0
3 years ago
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there are 25 pigs and chickens on a farm. if there are 90 legs counted altogether, then how many of each animal are there?
e-lub [12.9K]

Answer:

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Step-by-step explanation:

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