So think of a triangle (draw this out of you need to). So sine = opposite over hypotenuse
And cosine = adjacent over hypotenuse
So the sin of angle Q is 4/5 meaning the hypotenuse is 5 and the opposite side to that angle is 4. Use the Pythagorean theorem to solve for the adjacent side
a^2+b^2=c^2
a^2+16=25
a^2=9
So a= 3
So the side lengths are 4 and 3 and the hypotenuse is 5. Now solve for the cosine of angles P and Q and add those fractions together. If you need further help let me know and I can work it out with you!
Answer:
Step-by-step explanation:
Answer:
x = 70
Step-by-step explanation:
Properties of a parallelogram.
1). Pair of opposite sides of a parallelogram are equal in measure and parallel to each other.
2). Opposite angles of a parallelogram are equal in measure.
3).Adjacent angles of a parallelogram are supplementary.
By the second property,
(2x - 30) = (x + 40)
2x - x = 30 + 40
x = 70
Forgive me if I'm wrong, but here goes:
On Harold's test, he scores 34 points for his correct answers, and -6 points for incorrect answers. He would have gotten 28 points, but that's not the question.
34 is the first number, and I believe the next one is -6.
6 is negative because 1 point is deducted for each incorrect answer, which also means 1 point is subtracted for every incorrect answer. Because the question is asking for numbers and not an equation or expression, the subtraction is expressed as a negative symbol, hence negative six.
Hope I helped!