Mathematics: What is the value of x to

5 gallons, 24 quarts (6 gallons), 10.6 gallons...

What is the value of x to - id5179249, geo58

gchippewa81

19.01.2022

The value of x is 50.6 cm

Explanation:

It is given that MN = 46.2 cm, AN = 14 cm, MP = 72.6 cm and MB = x

By side splitter theorem, we have,

$\frac{MA}{AN} =\frac{MB}{BP}$

Substituting the values, we have,

$\frac{32.2}{14} =\frac{x}{72.6-x}$

Multiplying both sides by 72.6-x , we get,

$\frac{(72.6-x)32.2}{14} =x$

Multiplying, we get,

$\frac{2337.72-32.2x}{14} =x$

Multiplying both sides by 14, we have,

2337.72-32.2x=14x

Adding both sides by 32.2x, we get,

2337.72=46.2x

Dividing both sides by 46.2, we have,

x=50.6

Thus, the value of x is 50.6

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