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3 years ago

12- 8. 2. 4 8 10 Slope

Mathematics

1 answer:

S_A_V [24]3 years ago

5 0

Step-by-step explanation:

what is the problem ? find the slope of the line ?

the slope is the ratio y/x of the y difference and the x difference between 2 points.

I see 2 points with seemingly integer coordinates.

one point is at (2, 6) as you marked it also on the sheet.

the other point is (6, 12).

so, when you go from point 1 to point 2, x changes by 4 units (from 2 to 6) and y changes by 6 units (from 6 to 12).

therefore, the slope is 6/4 = 3/2

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DE = (6x - 9) cm

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To find:

The value of x.

Solution:

<em>If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.</em>

$$\Rightarrow \frac{DE}{EF} =\frac{LM}{MN}$

$$\Rightarrow \frac{6x-9}{4x+4} =\frac{14}{16}$

Do cross multiplication.

$$\Rightarrow 16( {6x-9})=14 ({4x+4} )$

$$\Rightarrow 96x-144=56 x+56$

Add 144 on both sides.

$$\Rightarrow 96x-144+144=56 x+56+144$

$$\Rightarrow 96x=56 x+200$

Subtract 56x from both sides.

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