Answer:
17°
Step-by-step explanation:
Let x represent the measure of the angle.
(90 -x) = 5 + 4x . . . . the complement is 5° more than 4 times the angle
85 = 5x . . . . . . . . . . add x-5 to both sides
17 = x . . . . . . . . . . . . divide by 5
The measure of the angle is 17°.
Answer:
15
Step-by-step explanation:
So, leets look at the graph.
We can see that the lines being solved for tecnically make up 180 degrees.
This is because the value of the angles on line m are equal to the value of the angles on line n.
So, we know that the total line, 180 degrees, is 7x-10, and 6x-5.
Lets combine these two equations, and subtract them from 180 degrees to solve for x:
7x-1+6x-5
=
13x-15
Now to solve for x:
13x-15=180
Add 15 to both sides to get 13x alone:
13x=195
Then divide both sides by 13 to get x alone:
x=15
So our value of x is 15!
Hope this helps! :)
The answer to this question is on my profile
Rectangular and polar forms are two forms of equations that translates to plot. In this case, the two forms are convertible to each other by the expressions:
r sin theta = y
r cos theta = x
x2 + y2 = r2
we are given the polar expression r csc theta = 8 and is asked to convert to rectangular form.
in this case, csc theta is equal to 1/ sin theta. thys
r / sin theta = 8
in order to make use of the equations above, then
we multiply r to both numerator and denominator in the left side, that is
r^2 / r sin theta = 8
x2+y2 / y = 8
x 2 + y2 = 8y
