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frozen [14]
3 years ago
15

A 10-acre field produced 750 bushels of corn. At that rate, how much corn can be produced from a 14-acre field?

Mathematics
1 answer:
JulsSmile [24]3 years ago
4 0
1050 should be the answer
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Rudik [331]

The value of x is 8.

Solution:

Given \triangle V D G \sim \triangle V N Q.

DG = 60, NQ = 48, DN = 15, NV = x + 4

<u>To find the value of x:</u>

<em>Property of similar triangle:</em>

If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.

$\Rightarrow\frac{DG}{NQ} =\frac{DN}{NV}

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Do cross multiplication.

$\Rightarrow60(x+4)=15\times48

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Divide by 60 on both sides of the equation.

$\Rightarrow\frac{60x}{60} =\frac{480}{60}

$\Rightarrow x=8

Hence the value of x is 8.

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