49/100 I don't know how specific you needed it to be.
Answer:
length of each side : 10 cm
Step-by-step explanation:
all sides of squares are equal
thus, 4 sides = 40 cm
1 side = 40/10 cm
1 side = 10 cm
Answer:
$45
Step-by-step explanation:
The sale price changed from $80 to 60, then with the coupon another 25% was taken off leading it to come to a price of $45
$80 x .75 = 60
$60 x .75 = 45
(.75 is for the price of the original value that he will be paying later)
It will be a horizontal line at y=7 and shaded above. If you have pictures of the graph I can show which one it would be.
<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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