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Mariulka [41]
3 years ago
9

4. FGH - MNP. Solve for x.

Mathematics
1 answer:
Dahasolnce [82]3 years ago
6 0

Answer:

x = 6

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\frac{MN}{FG} = \frac{NP}{GH} , substitute values

\frac{x}{12} = \frac{10}{20} = \frac{1}{2} ( cross- multiply )

2x = 12 ( divide both sides by 2 )

x = 6

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1. A system of equations to determine the cost of a bottle of juice, is <u>12x + 2.70 = 15.78</u>.

2. From the equation, x = $1.09.

<h3>What is an equation?</h3>

An equation is a mathematical statement that shows that two values are equal.

A system of equations uses numbers and variables.

<h3>Data and Calculations:</h3>

The cost price of a bag of chips = $2.70

The total cost of snacks = $15.78

The total cost of 12-pack of juice bottles = $13.08 ($15.78 - $2.70)

Therefore, a bottle of juice = $1.09 ($13.08/12)

<h3>Equations:</h3>

Let a bottle of juice = x

Total cost of snacks = $15.78

2.70 + 12x = 15.78

or 12x + 2.70 = 15.78

12x = 13.08

x = 1.09 (13.08/12)

Learn more about equations at brainly.com/question/2972832

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