Answer:
165
Step-by-step explanation:
c = 6 and d = 10
= 5 × 6² = 5 × 36 = 180
- ( 3 d ) = 180 - ( 3 × 10 ) = 180 - 30 = 150
- 3 d ( + 15 ) = 150 + 15 = 165
There's two possible ways to find the answer to this. First you can find a common denominator to reduce both to. In this case, they can both reduce to a common denominator of 8. So 6/16 reduces to 3/8 and 30/80 also reduces to 3/8, so they are equal. The other way is to use a calculator and turn them into decimals by dividing the numerator by the denominator. They both come out to be .375. Once again they are equal. You can use whichever method is easier for you.
A linear pair is a pair of adjacent, supplementary angles which sum is equal 180
So
5x + 5 + 11x - 65 = 180
16x - 60 = 180
16x = 240
x = 15
<PQR = 5(15) + 15 = 75 + 5 = 80
Answer
80°
If the rat will chew through the rope in 60 seconds you will be free.
In 7 seconds it will be 14 inches from your chest
In 14 seconds it will be 13 inches from your chest
In 21 seconds it will be 12 inches from your chest
In 28 seconds it will be 11 inches from your chest
In 35 seconds it will be 10 inches from your chest
In 42 seconds it will be 9 inches
In 49 seconds it will be 8 inches
In 56 seconds it will be 7 inches
In 63 seconds it will be 6 inches (and you will be free since the rat finished)
In 70 seconds it will be 5 inches
In 77 seconds it will be 4 inches
In 84 seconds it will be 3 inches
In 91 seconds it will be 2 inches
In 98 seconds it will be 1 inch
You have 6 seconds before it swings again and cuts you so you have 104 seconds exactly but lucky for you the rat chewed through the rope 44 seconds ago.
