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Marta_Voda [28]
3 years ago
7

**URGENT**

Mathematics
1 answer:
sdas [7]3 years ago
3 0
Let's have Steve's age be <em>x</em><em />, and his father's age be <em>f</em>
Then, we can set up equations
Steve is one-fourth as old as his father goes to an equation as x=(1/4)f
In five years (x+5), Steve will be one-third as old as his father will be (f+5). This goes to an equation as x+5=(1/3)(f+5)
We can then solve the first equation for either variable (I will be doing f), and plug it in for a system of equations. 

x=(1/4)f
4x=f ← plug that in for f in the next equation

x+5 = (1/3)(4x+5) ← Solve this for x
3(x+5)=4x+5
3x+15=4x+5
3x+10=4x
10=1x
x=10

Therefore, Steve's age is 10. His father's age is <em>f=4x, </em>plug in 10 for x, and his father's age is 40


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Dilation with scale factor to map HEFG to DABC will be,

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