The Given Triangle PMO is a Right Angled Triangle with m∠M = 90°
Given m∠P = 40°
We know that : Sum of Angles in a Triangle = 180°
⇒ m∠P + m∠M + m∠O = 180°
⇒ 40° + 90° + m∠O = 180°
⇒ 130° + m∠O = 180°
⇒ m∠O = 180° - 130°
⇒ m∠O = 50°
We can notice that m∠O and m∠1 form a Linear Pair (180°)
⇒ m∠O + m∠1 = 180°
⇒ 50° + m∠1 = 180°
⇒ m∠1 = 180° - 50°
⇒ m∠1 = 130°
Last Option is the Answer
Oooh! I love this kind of math, so easy to do!
Like I say ALL the time, if you know how to solve percentages you know how to solve anything that deals with percentages. If you don't izz all gucci! :D
To solve a percentage make it a decimal & multiply. :) (SIMPLE)
- .300 % multiplied by 1000 = 300 :D you would pay 300$ a year obviously!
I'm not that great at percentage math, although it is fairly easy. I hope you can use this information too push you closer too the answer! Good Luck! <3
Answer:
cos(x) = square root 2 over 2; tan(x) = 1
Step-by-step explanation:
was, before it was rationalized,
Therefore,
The side opposite the reference angle measures 1, the hypotenuse measures square root 2. That makes the reference angle a 45 degree angle. From there we can determine that the side adjacent to the reference angle also has a measure of 1. Therefore,
and
since tangent is side opposite (1) over side adjacent (1),
tan(x) = 1
6/3 = 6 divided by 3
= 2
12/6= 12 divided by 6
= 2
