The unknown side (PR) is 72 (42^2+58^2=5,128, square root of 5,128 which is 71.6, but rounds up to 72)
Angle Q is 90
(I don't have correct calculator for the other angles)
Angle P is 58/72=Answer, sin-1answer
Angle R is 42/72=Answer, sin-1answer
Answer:
75°
Step-by-step explanation:
In a parallelogram, any two adjacent angles are supplementary. In other words, they total 180.
Angle D and Angle E are adjacent. Thus, they are supplementary. In other words:
Substitute them for the equations:
Combine like terms and add on the left:
Subtract 36 from both sides:
Divide both sides by 12:
Thus, the value of x is 12.
Note that Angle D and Angle C are also adjacent. Thus, their angles also equal 180.
So:
Substitute the equation for D:
Plug in 12 for x:
Simplify:
Subtract 105 from both sides:
Thus, Angle C is 75 degrees.
Answer:
3 nights
Step-by-step explanation:
let n equal the number of nights
6 = 2n ---> 6 cm = 2 cm x the number of nights
6/2 = 2n/2 ---> divide both sides of the equation to isolate n
3 = n ---> number of nights equals 3
6 is the number of centimeters needed divided by 2 the number of centimeters per night which would give you the number of nights.
42
It’s 42 since if you would convert this
The answer would be : 5x+1
Just add 2x and 3x