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Alex787 [66]
3 years ago
12

a half of whats johns age was 4 years ago is equal to one third of what will be in 5 years time. how old is john now?

Mathematics
1 answer:
Leona [35]3 years ago
8 0

Let x = John's age now

half of what johns age was 4 years ago: (1/2)(x-4)

is equal to one third of what it will be in 5 years time: (1/3)(x+5)

 

(1/2)(x-4) = (1/3)(x+5)

 

3(x-4) = 2(x+5)

 

3x - 12 = 2x + 10

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Please help it would mean a lot to me :)
Luda [366]

Answer:

a) TO = OP = 13

b) Height = 12

Step-by-step explanation:

a) Isosceles triangle TOP with base TP = 10 cm, side TO = OP = x cm.

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=> TO + OP + TP = 36

=> x + x + 10 = 36

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=> x = 13

=> TO = OP = 13 cm.

b) Apply Pythagorean theorem:

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Hope this helps!

5 0
4 years ago
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
motikmotik
Ur gonna have to pick an equation and solve for a variable.

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x = y + 3

now we sub y + 3 in for x in the other equation
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solution is (6,3)

it is always a good idea to check ur answer by subbing it into one or both of the equations to see if it is correct
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so yes, ur solution is (6,3)
4 0
3 years ago
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