SOLUTION: sorry to bother u guys again...but ur help has taught me alot..thanks =) #1 how do u do this.." The ratio of the measures of two complementary angles is 4 to 1. Find the measur

Question 4646: sorry to bother u guys again...but ur help has taught me alot..thanks =)
#1 how do u do this.." The ratio of the measures of two complementary angles is 4 to 1. Find the measure of each angle?
also...
#2 A wire 60 inches long is cut into two pieces whose lengths have a ratio of 3 to 1. To find the length of each piece, let x be the length of the shorter piece. Since the wire is 60 inches long, and since the shorter piece is x inches long, what is the length of each piece...??
its confusing me...help...
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
1. complementary means they add up to 90 degrees.
Ratio is 4:1 --> total 5 multiply this up by 18 to make the 5 into 90:
ratio is now 72:18 --> total 90

so, the 2 angles are 72 and 18 degrees.

2. wire has ratio 3:1 --> total is 60inches.

Let x be shorter piece, so we have x and 3x and these together add together to give 60, so mathematically, we have 3x+x = 60

4x = 60
x = 60/4
--> x= 15 inches
and so longer piece is 45 inches.

jon.

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