If the figure has four side, opposite sides are congruent, and four right angles, then the

Mathematics

1 answer:

jekas [21]3 years ago

7 0

Answer: true

Exp: rectangles have 4 sides, its opposite sides are congruent, it has 4 right angles

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Find the x- and y-intercept of the line. <br><br> –3x + 9y = 18

Mnenie [13.5K]

Line <span>–3x + 9y = 18
</span>
x-intercept when y = 0
so -3x = 18
x = -6

y-intercept when x = 0
so 9y = 18
y = 2

answer
x-intercept (-6,0)
y-intercept (0, 2)

hope it helps

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Sin5A/SinA-cos5A/cosA=4cos2A

irina1246 [14]

Answer:

See Explanation

Step-by-step explanation:

$\frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} = 4\cos2A \\ \\ LHS = \frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} \\ \\ = \frac{ \sin5A \:\cos A - \cos5A \: \sin A}{\sin A \:\cos A } \\ \\ = \frac{ \sin(5A -A )}{\sin A \:\cos A} \\ \\ = \frac{ \sin 4A}{\sin A \:\cos A} \\ \\ = \frac{ 2\sin 2A \: \cos 2A}{\sin A \:\cos A} \\ \\ = \frac{ 2 \times 2\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A} \\ \\ = \frac{ 4\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A} \\ \\ =4\cos 2A \\ \\ = RHS \\ \\ thus \\ \\ \frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} = 4\cos2A \\ \\ hence \: proved$

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3 years ago