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Answer:
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2 angle A and B are Complementary means that the sum of their measures is 90°.
2 angle A and B are Supplementary means that the sum of their measures is 180°.
Thus, if the measure of angle A is x:
the measure of the supplement is 180°-x
the measure of the complement is 90°-x
"The measure of a supplement of an angle is 40 more than two times the measure of the complement of the angle. "
let the measure of the angle be x, then we have:
180°-x=40°+2(90°-x)
180°-x=40°+180°-2x
2x-x=40°
x=40°
Answer: 40°
X²+y²-2y=7
using the formula that links Cartesian to Polar coordinates
x=rcosθ and y=r sin θ
substituting into our expression we get:
(r cos θ)²+(r sin θ)²-2rsinθ=7
expanding the brackets we obtain:
r²cos²θ+r²sin²θ=7+2rsinθ
r²(cos²θ+sin²θ)=7+2rsinθ
using trigonometric identity:
cos²θ+sin²θ=1
thus
r²=2rsinθ+7
Answer: r²=2rsinθ+7
7/10-3/10=2/5
3/10+1/10=2/5
