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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Answer:
Solution:- In the given figure
Side of square= 10 cm
area of square = side x side m= 10 x 10 = 100 sq cm
Now , diameter of semi circle AOD = 2r = 10cm
⇒ radius of semi circle AOD = 5 cm
∴ area of AOD =
similarly Area of semicircle BOC =
Area of white portion in figure 1 = area of square - [ area of semicircle BOD + area of semicircle AOD]
=
Total area of white portion in the given figure=
∴Area of Shaded portion = area of square - area of total white portion
=
So the area of shaded portion is
Now perimeter of AD(which is a semicircle) = (as perimeter of semicircle=πr)
So the perimeter of shaded region = 4×perimeter of AD=4×15.7=62.8cm
Step-by-step explanation:
Answer:
$22500
Step-by-step explanation:
principal=$12000
time=15 years
rate=
=12*2+1/2
=25/2
=12.5
Interest=PTR/100
=$12000*15*12.5/100
=$2250000/100
=$22500
Answer:
you would solve using x and y intercepts.
Step-by-step explanation:
for the X intercept, Y=0
3x=-18. you divide by three on both sides
x=-6. (-6,0)
the for the y intercept, X=0
+9y=-18. you divide 9 on both sides.
y=-2. (0,-2)
then you graph both and connect the points on the x and y axis.
Brainiest always accepted!!!!1