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Pepsi [2]
4 years ago
5

Find the measure of Angle 1

Mathematics
2 answers:
tresset_1 [31]4 years ago
8 0
AB || DC
so
m<1 = m<66
Dmitry_Shevchenko [17]4 years ago
8 0

Answer:

66º

Step-by-step explanation:

From the picture we know that AB║CD. Therefore, the line BD is a transversal line between two parallels.

We know that in these cases, the alternate interior angles are the same.

In the picture, angle 1 and the angle that measures 66º are alternate interior angles. Therefore, angle 1 measures 66º as well.

∠1 = 66º

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Convert the following sum into a product. cosx + cos3x + cos5x + cos7x
kvv77 [185]

Answer:

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Step-by-step explanation:

Given: cosx + cos3x + cos5x + cos7x

To convert: the given sum into product

Solution:

Use formula: \cos A+\cos B=2\cos \left ( \frac{A+B}{2} \right )\cos \left ( \frac{A-B}{2} \right )

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cosx + cos3x + cos5x + cos7x=2\cos \left ( \frac{x+3x}{2} \right )\cos \left ( \frac{x-3x}{2} \right )+2\cos \left ( \frac{5x+7x}{2} \right )\cos \left ( \frac{5x-7x}{2} \right )\\=2\cos x\left [ \cos (2x)+\cos (6x) \right ]\\=2\cos x\left [2 \cos \left ( \frac{2x+6x}{2} \right )\cos \left ( \frac{2x-6x}{2} \right ) \right ]\\=2\cos x\left [ 2\cos (4x) \cos (-2x) \right ]\\=4\cos x\cos (4x)\cos (2x)

4 0
3 years ago
The length of a rectangle is four times its width. If the perimeter is at most 100 centimeters, what is the greatest possible va
labwork [276]
If l=4w:
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anything bigger isn't allowed, so the width is 10cm

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4 years ago
The sum of the measures of seven angles of an octagon is 1000 degrees fine the measure of the eighth angle
horrorfan [7]
Now, we're assuming this is for interior angles.

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now, we already know seven of those eight angles add up to 1000, so... surely you'd know what the last one is.
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