Answer:
see explanation
Step-by-step explanation:
Using the sum/ difference → product formula
cos x - cos y = - 2sin( 
)sin (
)
sin x - sin y = 2cos ( )sin ( )
Given
(cosA - cosB)² + (sinA - sinB )²
= [ - 2sin(
)sin(
) ]² + [ 2cos( )sin( ) ]²
= 4sin² ( )sin² ( ) + 4cos² ( )sin² ( )
= 4sin² ( )[ sin² ( ) + cos² ( ) ← sin²x + cos²x = 1
= 4sin² ( ) × 1
= 4sin² ( ) = right side ⇒ proven
The number of a acute angle in a rectangle is 89 through 1 the obtuse angle in a rectangle is 91 through inf and a right angle of a rectangle is 90 degrees
Answer: The coordinates are (2.5, -1.5).
Explanation: The explanation is in the image.
Answer:
8
Step-by-step explanation:
There are 4 people that are 27 and 4 people that are 29. Both are <em>older</em> than 26.
60 * 3 = 180 and 90 * 2 = 180
if they are supplementary angles than they equal 180 together.
angle p is three times less than twice the measure of angle q so that means 180/3 = angle p and 180/2 = angle q.
Angle q is 90 and twice that is 180 and Angle p is 60 and three times that is 180
so 60 is three times less than twice the measure of 90.
60 three times is 180 and 90 twice is 180 which means 3p = 2q and you have 180 because they are supplementary angles so you have really 180/3 = p and 180/2 = q
The answer is p = 60 and q = 90
