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: <em>system of linear equations elimination method solve complementary angles algebra geometry</em>
Answer:
its the 3rd option
Step-by-step explanation:
Answer:
Step-by-step explanation:
3/(x-2) - 2/(x+3) = 1....multiply everything by (x-2)(x+3)
3/(x-2) * (x-2)(x+3) - 2/(x+3) * (x-2)(x+3) = 1(x-2)(x+3)
3(x+3) - 2(x-2) = 1(x-2)(x+3)
3x + 9 -2x + 4 = (x-2)(x+3)
x + 13 = x^2 + x - 6
x^2 - x + x - 6 - 13 = 0
x^2 - 19 = 0
x^2 = 19....take sq rt of both sides
sqrt(x^2) = sqrt 19
x = sqrt 19 and x = - sqrt 19 <====
You first have to know what par is, or at least if you do it will help, and par is the predetermined number of strokes it takes to hit the ball in the hole. That means you have to swing 6 times to get it in the hole. When a golfer has a -4 that means they took 4 less shots than predetermined and a + 2 means 2 more shots than predetermined. So in the case, Vijay Singh's score of -4 would be less than Phil Mickelson's score of -2, -4 < -2. And in order of least to greatest it would be Vijay Singh, Phil Mickelson, Tiger Woods, Justin Leonard.
Btw I had to look up all the golf stuff. I know nothing about golf.