For this case we must indicate an expression equivalent to:

By definition we have that the distributive property establishes that:

Then, applying the property to the given expression we have:

Thus, an equivalent expression is:

ANswer:

Sector area = 0.5 * r^2 * angle (in radians)
so:
16 pi = 0.5 * r^2 * (90*pi/180)
r^2 = 16 pi /(0.25 pi) = 64
r = 8
therefore it would be d
Solution:
Vertical angles are a pair of opposite angles formed by intersecting lines. re vertical angles. Vertical angles are always congruent.
These two angles (140° and 40°) are Supplementary Angles because they add up to 180°:
Notice that together they make a straight angle.
Hence,
From the image
The following pairs form vertical angles

Hence,
One pair of the vertical angles is ∠1 and ∠3
Part B:
Two angles are said to be supplementary when they ad together to give 180°
Hence,
From the image,
The following pairs are supplementary angles

Hence,
One pair of supplementary angles is ∠5 and ∠6
Step-by-step explanation:
Each interior angle=140°
(n-2)180°/n=140°
180°n-360°/n=140°
180°n-360°=140°n
180°-140°=360°
40°n=360°
n=360°/40°
n=9
Hence, the number of sides of the polygon is 9.
It is nonagon .