a. Does her equation make sense?
If so, explain why her equation must be true. If it is not correct, determine what is incorrect and rewrite the equation.
b. If you have not already done so, solve her equation, clearly showing all your steps.
What are the measures of the two angles?
c. Verify that your answer is correct.
The figure is attached below
Given : (2x+1) + (x-10) = 90
(a) Yes , the equation make sense because right angle is 90 degree. Also two angles make up 90 degree.
(b) solve for x, (2x+1) + (x-10) = 90
2x+1 + x-10 = 90 ( combine like terms)
3x -9 = 90 (add 9 on both sides)
3x = 99
x = 33
One angle is 2x+1 = 2(33) +1 = 67 degrees
Another angle = x-10 = 33-10 = 23 degrees
(c) one angle + another angle = 90
67 + 23 = 90
So verified
(-2/3, 2)
Solve for the first variable in one of the equations, then substitute the result into the other equation.
If tan(<span>θ) is negative, then </span><span>θ must be either in Q-II or else in Q-IV.
Fortunately, the question tells us that it's in Q-II.
If you draw a circle on the x- and y-axes, then draw a right triangle
in Q-II, then mark the legs 3 and -2, then the hypotenuse of the
triangle ... also the radius of the circle ... is √13 .
Look for the angle whose tangent is -3/2.
tangent = (opposite) / (adjacent)
So the side opp</span>osite is the 3 and the side adjacent is the -2.
For that same angle, cosine = (adjacent) / (hypotenuse) .
The adjacent side is still the -2, and the hypotenuse is √13 .
So the cosine of the same angle is
- 2 / √13 .
To rationalize the denominator (get that square root out of there),
multiply top and bottom by √13 . Then you have
(- 2 / √13) · (√13 / √13)
= - 2 √13 / 13 .
Yes because 2.799 has a extra digit but if there is an answer that they can be the same then they are the same
