Answer:
Step-by-step explanation:
{L = W + 5
{166 = 2L + 2W
166 = 2[W + 5] + 2W
166 = 2W + 10 + 2W
166 = 10 + 4W
- 10 - 10
___________
[Plug this back into both equations above to get the length of 44 feet; 
I am joyous to assist you anytime.
Answer:
In both above questions, correct option is (D).
#$#THANK YOU #$#
Sum of the interior angles of a pentagon is 720 degrees. Sum of two angles that form a bisected line is 180 degrees. So interior angles going clockwise are 138 degrees. 128 degrees. 119 degrees. 180- 2*t degrees. And 180 - 3*t degrees. So sum of angles is:
138+128+119+(180 - 2*t) + (180 - 3*t) = 720
25 = 5*t
t = 5 degrees.
Answer:
Choice B. False. Rather, the opposite angles of a circumscribed quadrilateral are always supplementary with a sum of 180 degrees.
Step-by-step explanation:
Refer to the sketch attached.
Consider the quadrilateral ABCD inscribed in the circle O. Angle 
is the angle that line BA and DA inscribe. The green angle at O will be the arc that the two lines intercepts. Let angle A equals 
degrees. By the inscribed angle theorem for circles, The green angle will measure 
.
Similarly, the arc that line CD and CB intercept will equal to twice the measure of 
. The angle of that arc is the red angle at the origin. The value of that arc will equal to 
.
Angle 
is half the measure of that arc. That is:
.
Note that 
. The sum of A and angle C is 180 degrees. In other words, the two angles are supplementary. The claim that the two angles are complementary (which describes two angles with a sum of 90 degrees) will thus be false.
