Answer:
D
Step-by-step explanation:
To keep it short, refer to triangle exterior angle theorem.
Edit: If you want the full explanation,
A isn't the answer. The triangle exterior angle states that the measure of the 2 triangle interior add up to the the exterior angle of the other interior angle within the triangle.
Meaning that
measure of angle 1 equal the measure of 3 and 4 combined.
B. is wrong they are equal to each other because angle 2 is equal to angle 2
angle 1 is equal to angle 3 and 4
So they are equal
C.Wrong unless it a 30 60 90 triangle or 45 45 90 triangle, C is wrong
D. is right since measure of angle 4 and angle 3 add up to angle 1, angle 4 would be lesser than angle 1.
Answer:
0.00248139
Step-by-step explanation:
Make it a trinomial by using the FOIL method.
First
Inside
Outside
Last
Answer:
The probability that the maximum number of draws is required is 0.2286
Step-by-step explanation:
The probability that the maximum number of draws happens when you pick <em>different colors in the first four pick</em>.
Assume you picked one sock in the first draw. Its probability is 1, since you can draw any sock.
In the second draw, 7 socks left and you can draw all but the one which is the pair of the first draw. Then the probability is 
In the third draw, 6 socks left and you can draw one of the two pair colors which are not drawn yet. Its probability is 
In the forth draw, 5 socks left and only one pair color, which is not drawn. The probability of drawing one of this pair is 
In the fifth draw, whatever you draw, you would have one matching pair.
The probability combined is 1×
×
×
≈ 0.2286
we know that
Two angles are Complementary when they add up to
degrees and two angles are Supplementary when they add up to
degrees
f the exterior sides are opposite rays, then a straight line forms and you have the two angles add to
degrees
So
the angles are supplementary and not complementary
therefore
the answer is the option
Never