4 years ago

Can you please help me figure out how the answer is 1/9 im getting 9

Mathematics

1 answer:

timama [110]4 years ago

6 0

Can you upload another picture, you cannot really see your problem

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Please help me ive never done one like this

inessss [21]

Given:

DE = (6x - 9) cm

EF = (4x + 4) cm

LM = 14 cm

MN = 16 cm

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.

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

$$\Rightarrow 40x=200$

Divide by 40 on both sides, we get

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The value of x is 5.

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3 years ago

Can you please help me figure out how the answer is 1/9 im getting 9​

Can you please help me figure out how the answer is 1/9 im getting 9