9514 1404 393
Answer:
∠3 = 115°
Step-by-step explanation:
Angles 4 and 6 are "same-side interior angles", so are supplementary.
∠4 +∠6 = 180°
(x +5) +(2x -5) = 180
3x = 180
x = 60
The angles marked 3 and 6 are alternate interior angles, so are congruent. The measure of angle 3 is ...
∠3 = ∠6 = (2x -5)° = (2(60) -5)°
∠3 = 115°
Answer:
The chicken coops needs to be atleast 25 feet in width.
Step-by-step explanation:
The chicken coop is in a shape of a rectangle.
Area of rectangle is given by length * width
Since, length is given as 12 ft and area is given as minimum 300 ft, the width can be found by substituting these values into the area formula:
The chicken coops needs to be atleast 25 feet in width.
He purchased items worth 41.23.....she was charged 50.23
50.23 - 41.23 = 9 <== she paid 9 extra dollars
Answer:
(2/9)cis(30°)
Step-by-step explanation:
We can express the two numbers in magnitude∠angle form, then find their ratio.
|z1| = 3√((-1)² +(√3)²) = 3√4 = 6
∠z1 = arctan((3√3)/(-3)) = -arctan(√3) = 120°
z2 = 27∠90°
So, the ratio is ...
z1/z2 = (6∠120°)/(27∠90°) = (6/27)∠(120°-90°)
z1/z2 = (2/9)∠30°
