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solniwko [45]
3 years ago
5

Look at attachment 10 POINTS!!!

Mathematics
1 answer:
Leni [432]3 years ago
3 0

Answer:

The midpoint of TS is (-1,-3)

The coordinates of M should be (8,18)

Step-by-step explanation:


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3 years ago a father was 3 times as old as his son, in five years time he will be twice as old as his son, what will be the sum
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Step-by-step explanation:

Let the father's age be x and the son's age be y, then 3 years ago:

Father = x - 3

son     = y - 3

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x - 3 = 3y - 9

x     = 3y - 9 + 3

x     = 3y - 6 .......................................... equation 1

In five years time

father = x + 5

son = y + 5

Then , from the second statement

x + 5 = 2 ( y + 5 )

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x       = 2y + 5 ........................ equation 2

Equating equation 1 and 2 , we have

3y -6 = 2y + 5

add 6 to both sides

3y = 2y + 5 + 6

subtract 2y from both sides

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x = 3y - 6

x = 3(11) - 6

x = 33 - 6

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This means that the father is presently 27 years and the son is presently 11 years.

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father = 27 + 4 = 31

son = 11 + 4      = 15

sum of their ages in four years time will be

31 + 15 = 46 years

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19° + x° + 42° = 90°
x° = 90° - 19° - 42°
x° = 29°
x = 29
6 0
2 years ago
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