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svlad2 [7]
3 years ago
14

Can some one pls help

Mathematics
1 answer:
solniwko [45]3 years ago
3 0

Answer:

\frac{AC}{DF} = \frac{5}{2}

Step-by-step explanation:

Scalene triangle are the triangle with no side are equal in length also each angle have different measure.

As given there are two scalene triangle, which are similar.

∴ Side of both the triangle will be propotionally equal.

Scale is given for both the triangle, which is 5:2.

We know, scale factor= ratio of the side.

Looking the option provided, we see \frac{AC}{DF} = \frac{5}{2}

As the sides of both the triangle is propotionally equal

Hence, \frac{AC}{DF} = \frac{5}{2}.

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Step-by-step explanation:

Given the equation 5x - 2y = 10, to write the equation in slope-intercept form, we need to write it in the standard format y = mx+c where m is the slope/gradient and c is the intercept.

From the equation given  5x - 2y = 10, we will make y the subject of the formula as shown;

5x - 2y = 10\\\\subtract \ 5x \ from \ both \ sides\\\\5x - 2y - 5x = 10 - 5x\\\\-2y = 10-5x\\\\Dividing \ both \ sides\ by  \ -2;\\\\\frac{-2y}{-2} = \frac{10-5x}{-2}\\  \\

y = \frac{10}{-2} - \frac{5x}{-2}  \\\\y = -5 + \frac{5x}{2}\\\\y = \frac{5x}{2} - 5

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