Answer:
a) Angle 1: 80°
Angle 1 = Angle 5
(corresponding angles)
Angle 5:
180 - 100 = 80°
Supplementary angles
b) Angle 8: 80°
Angle 8 = 180 - Angle 6 = 180-100 = 80
(Supplementary angles)
c) Angle 2: 100°
Angle 2 = Angle 6
(Corresponding angles)
For following directions, just rotate the pic accordingly
Standard form is just the number. The answer is 405.
Answer:
The probability of rolling a 3 and then a 5 is 1/36.
Step-by-step explanation:
Rolling a six sided die is an independent event. That means for each roll, you have the same chance of rolling a number as the previous roll. Since there are six different numbers on a die, then there are six different outcomes for each roll - 1, 2, 3, 4, 5 or 6. The chances that you would roll a '3' is 1 out of 6, or 1/6. The chances that you would roll a '5' is also 1 out of 6, or 1/5. However, when we combine these events, we need to take each probability and multiply them. So, the probability of rolling a '3' and then a '5' is 1/6 x 1/6 or 1/36.
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
• tan x = 
• sec x =
, csc x = 
Consider the left side with x = Θ

=
=
× 
= 
=
× 
= secxcscx = right side ⇒ verified