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V125BC [204]
3 years ago
10

Parallel lines /////////////

Mathematics
2 answers:
pashok25 [27]3 years ago
5 0

Answer:

38°

Step-by-step explanation:

∠4=∠2

∠2=∠6

∠6=38°

So ∠4=38°

Harrizon [31]3 years ago
4 0

Answer:

The answer is 38°

Step-by-step explanation:

When both lines are parallel, their vertical opposite angles will be the same. So ∠4 = 38°.

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ANSWER

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EXPLANATION


Let us find the gradient of the line:

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We divide through by 4 now;


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This is now in the form;

y=mx+c

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This implies that the slope of the line that is perpendicular to this line will be the negative reciprocal of m=\frac{3}{4} .


Thus the perpendicular line has slope,

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Let the perpendicular line have equation,


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y=-\frac{4}{3}x+c

We substitute the point. (4,0) to find c.


0=-\frac{4}{3}(4)+c


0=-\frac{16}{3}+c


\frac{16}{3}=c

We substitute c to obtain;


y=-\frac{4}{3}x+\frac{16}{3}


Or

3y+4x=16

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