Answer:
Pi time the radius squared
Step-by-step explanation:
Answer:
<em>(4, 1) </em>
Step-by-step explanation:
Method elimination would be good for this system
2x - y = 7 ........ <em>(1)</em>
x + y = 5 ......... <em>(2)</em>
<em>(1)</em> + <em>(2)</em>
3x = 12 ⇒ x = 4
4 + y = 5 ⇒ y = 1
<em>(4, 1)</em>
Take one sector that includes the shaded segment:-
There are 6 sectors altogether and the angle at center = 369 / 6 = 60 degrees.
The sides of the triangles ar equal to radius of the circle = 9 units.
Area of this sector = pi r^2 * 60 /360
= pi * 9^2 / 6 = 42.412 units^2
Area of the triangle = 1/2 * 9^2 * sin 60 = 35.074 units^2
So the area of the shaded segment = 42.412 - 35.074 = 7.338 unIt^2
AS there are 4 shaded segments the answer is 4 *7.338 = 29.3 units^2
Answer:
B. ∠1 ≅ ∠2; alternate interior angles theorem
Step-by-step explanation:
In the figure attached, the complete problem is shown.
As can be seen in the figure, ∠1 and ∠2 are interior angles.
The lines dividing the parking spaces are parallel
The Alternate Interior Angles theorem states: if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent