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vfiekz [6]
2 years ago
15

Solve 17 and 18 please.

Mathematics
1 answer:
Klio2033 [76]2 years ago
5 0

Answer:

Step-by-step explanation:

<em>17.</em>

sin20° = \frac{1}{x}

x = 1 ÷ sin20°

<em>x</em> ≈ <em>2.9238</em>

cos20° = \frac{x}{y}

y = x ÷ cos20°

<em>y</em> ≈ 2.9238 ÷ cos20° ≈ <em>3.11</em>

<em>18.</em>

<em>x = 2√3</em> ≈ 3.46

<em>y = √3</em> ≈ 1.732

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Suppose lines EF and GH are reflected over the line Y equals X to form the lines JK and LM which statement would be true about t
katrin [286]

Answer:

A) JK and LM will be parallel to each other.

Step-by-step explanation:

On reflection on y=x line the x co-ordinate changes with y co-ordinate and y co-ordinate changes with x co-ordinate

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Points on line EF

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On reflection of this line on y=x the new points we get for line JK are

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Points on line GH

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On reflection on y=x line the new points we get for line LM are

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m=\frac{y_2-y_1}{x2-x1}\\m=\frac{(-5)-0}{(-2)-6} \\m=\frac{-5}{-8}=\frac{5}{8}

Slope of line LM

m=\frac{y_2-y_1}{x2-x1}\\m=\frac{(-9)-(-4)}{1-9} \\m=\frac{-9+4}{-8}=\frac{-5}{-8}\\m=\frac{5}{8}

For two line to be parallel, their slopes will be same.

m_{JK} =\frac{5}{8} , m_{LM}=\frac{5}{8}

Since slopes of lines JK and LM are same therefore we can say that these are parallel to each other.

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3 years ago
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Answer:

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