If we assume the number of polo shirts have been sold is x, the number of casual shirts have been sold will be 4x.
x*18+4x*9=$1080
(18+36)x=$1080
54x=$1080
x=20
The number of casual shirts have been sold is 4*20=80
A property from geometry states that rectangles have congruent opposite sides. Thus, no matter which diagonal Reggie cuts, it still has the same lengths. Since it's a rectangle and we cut from corner to corner, we create a right triangle. See the picture below:
<u>___________12 inches_______</u>
7 |
i |
n |
Because it's a rectangle, it won't matter which corner we cut. But if we fold at the cut lines, we would make an in the rectangle's center.
The cut line and two sides make a right triangle. One leg is 12, one leg is 7, and we need to find the third side. The Pythagorean Theorem - sum of the squares of the legs equals the square of the hypotenuse - is applied.
Let S = the length of the side from corner to corner
S² = 12² + 7²
S² = 144 + 49
S² = 193
S = √193 or -√193
Because we are dealing with lengths, we only want positive numbers. -√193 is not used. Thus S = √193
S = √193 = 13.8924439894
S = 18.92 (rounded to two places)
Thus, Reggie will cut 18.92 inches of paper.
You would plug in the y=9 into the first equation and then have the expression 9=9x-9
. After going through the first steps of solving an expression you would get 18=9x. X=2. Then you would plug in the x value into the first expression to get y=9.
complementary angles = 90 degrees
two angles would be BGC (35 degrees) and CGD ( 55 degrees)
35+55 = 90
The new value after the original value is increased by 30% is 1.3 times the original value.
<h3>
Percentage</h3>
Percentage is used to express a fraction number or decimal in fraction of hundred. It is given by:
Percentage = [(new value - original value) / original value] * 100%
Let x represent the new value and y represent the original value, hence:
30% = [(x - y)/y] * 100%
0.3 = (x - y)/y
x - y = 0.3y
x = 1.3y
The new value after the original value is increased by 30% is 1.3 times the original value.
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