18
Explanation:
4x6=24
2x3=6
24-6=18
Hope this helps!:)
Answer:
58°
Step-by-step explanation:
<MQR = <XQL (vertically opposite angles)
28 + 5b = 70 - 2b
28 - 70 = -2b - 5b
-42 = -7b
-42/-7 = b
6 = b
<MQR = 28 + 5b
= 28 + 5(6)
= 28 + 30
= 58°
Given:
The point, (4, -3)
The line,

To find an equation in slope-intercept form for the line that passes through (4,-3) and is parallel to the given line:
The slope of the line is,

Since the given line is parallel to the new line, so the slope will be same for the both.
Using the point-slope formula,

Substitute the point and slope we get,

Hence, the equation in slope-intercept form for the line is,
We'll use the following properties of sine and cosine to prove this:



Then it's just a matter of filling it in...
sin20sin40 * sin60sin80 = 1/2(cos20 - cos60) * 1/2 (cos20 - cos140) =
1/8( cos40 + 1 - cos160 - cos120 - cos40 - cos80 + cos80 + cos200) =
1/8(1 - cos160 - cos120 + cos200) =
1/8(1 - cos160 - cos120 + cos160) =
1/8(1 - cos120 ) = 1/8( 1 + 1/2 ) = 3/16