<em>Question:</em>
The measures of two complementary angles have a ratio of 3 : 2. What is the measure of the larger angle?
—————
<em>Solution:</em>
Call those two angles x and y, where x is the larger one.
If they are complementary, then their sum equals 90°:
x + y = 90° (i)
Also, the ratio between x and y is 3 : 2, so
x 3
—— = ——
y 2
Product of the extremes = product of the means:
2x = 3y
2x – 3y = 0 (ii)
Now, just solve this system of equations:
x + y = 90° (i)
2x – 3y = 0 (ii)
Solve it with elimination. Since you want to know the value of the larger angle, which is x, then eliminate the variable y by doing the following:
Multiply the equation (i) by 3,
3x + 3y = 270° (iii)
2x – 3y = 0 (ii)
then add both equations, so you cancel out the variable y:
3x + 2x + 3y – 3y = 270° + 0
3x + 2x = 270°
5x = 270°
270°
x = ———
5
x = 54° <——— this is the measure of the larger angle.
I hope this helps. =)
Tags: <span><em>system of linear equations elimination method solve complementary angles algebra geometry</em>
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I think they need to get more than 120 cans
<u>Answer:</u>
<em>The correct answer is 1 1/2</em>
<u>Step-by-step explanation:</u>
<em>First, We need to find out the sum of 2/3 x 3, change 3 into a fraction if you want</em>
<em>3x2=6 and 1x3 is 3, So 2/3 x 3 is 6/3 or 2</em>
<em>Next, divide 3 by 2, change to fractions if needed</em>
<em>Remember keep, change and flip, flip 2/3 to 1/2</em>
<em>Then, you multiply 3/1 and 1/2 3x1=3 1x2=2</em>
<em>Finally divide 3 by 2. 3 ÷ 2 is 1 1/2</em>
<em>I hope this helped!</em>
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<span>x^ − 4x − 5 = (x - 5)(x+1)
answer is </span><span>(x − 5)(x + 1) (last choice)</span><span>
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