Answer:
Step-by-step explanation:
cos (2α)*sin (α-β)-cos(β-α)*sin(2α)
cos (β-α)=cos {-(α-β)}=cos (α-β)
[cos (-x)=cos x]
sin(α-β)*cos (2α)-cos (α-β)*sin (2α)=sin (α-β-2α)=sin (-α-β)
=sin {-(α+β)}
=-sin (α+β)
The midpoint of point A and point B is (5, -2.5)
<h3>How to determine the midpoint?</h3>
The coordinates are given as:
A = (3, -8)
B = (7, -3)
The midpoint is calculated as:
(x, y) = 0.5 * (x1 + x2, y1 + y2)
So, we have:
(x, y) = 0.5 * (3 + 7, -8 + 3)
This gives
(x, y) = 0.5 * (10, -5)
Evaluate
(x, y) = (5, -2.5)
Hence, the midpoint of point A and point B is (5, -2.5)
Read more about midpoints at:
brainly.com/question/5566419
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I have no idea what the answer is to this question
You would have 20 quarters to make 5 dollars
Answer:
Measure of ∠B = 51°.
Step-by-step explanation:
The sum of the measures of any triangle will always add up to 180°. Also the sum of two supplementary angles, or angles that are side by side on a straight line, will also add up to 180°. In order to find the measure of ∠B, you need to first find the measure of ∠C. ∠C is supplementary to the angle of 113°, so we can find ∠C: 180 - 113 = 57°. Now that we know ∠A and ∠C, we can solve for ∠B: 180 = 72 + 57 + ∠B or 180 = 129 + ∠B, subtracting 129 from both sides, we get ∠B = 51°.
