The measure of two angles are (3x+20) and (5x - 2). What is the value of x if the
1 answer:
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Answer:
325,452 more meteors fell during the Perseid meteor shower
Step-by-step explanation:
An year has 365 days.
Each day has 24 hours.
Each hour has 60 minutes.
Minutes in an year:
365*24*60 = 525600
Persoid:
One each 1.2 minutes. How many during an year?
1 meteor - 1.2 minutes.
x meteors - 525600 minutes.
438,000 meteors fell during the Persoid shower.
Leonid:
One each 4.67 minutes. How many during an year.
1 meteor - 4.67 minutes.
x meteors - 525600 minutes.
112,548 meteors fell during the Leonid Shower.
How many more meteors fell during the Perseid meteor shower?
438,000 - 112,548 = 325,452
325,452 more meteors fell during the Perseid meteor shower
You need the Law of Sines for this. In our case we have the measure of angle B and side b, we have the measure of angle A and are looking for side a, or x. Setting up the Law using our info, we have 
. We will solve for x by multiplying both sides by sin(42): 
, first choice above.