Answer:
Complement: 63°
Supplement: 153°
Step-by-step explanation:
NOTE: Supplementary angles are two angles that have a sum of 180°. Complementary angles are two angles that have a sum of 90°.
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This is a division problem. First, get 12 1/3 into fraction form instead of mixed number form to make your life easier;
Now, divide the two fractions. Since this is fraction division, the reciprocal is flipped and the two fractions multiplied.
The answer from the fraction division is 16 and four-ninths, but because you need a whole number as an answer,
the answer is 16 pieces.
Answer:
Area of shaded part ABCEF = 66 sq.cm
Step-by-step explanation:
AB = 8cm
CD = 8cm
Let DE = x cm
CE = 3x cm
CD = CE + DE = 8cm
x + 3x = 8
4x = 8
x = 8/4 = 2 cm
DE = 2cm
CE = 3 * 2 = 6 cm
Area of triangle ADE = 1/2 * base * height
= 1/2 * DE * AD
= 1/2 * 2 * 11 = 11 sq. cm
Area of triangle AEF = Area of triangle ADE = 11 sq. cm
Area of Rectangle ABCD = l * b = 8 * 11 = 88 sq.cm
Area of shaded part ABCEF = Area of Rectangle ABCD - (Area of triangle AEF + Area of triangle ADE)
= 88 - ( 11 + 11 ) = 88 -22 = 66 sq.cm
Answer:
straight line that passes through the origin
Step-by-step explanation:
Two variables are said to have a direct variation or proportional relationship if it can be represented by y = kx, where k is a constant.
Comparing this with the equation of a straight line y = mx + b, where m is the slope of the line and b is the y intercept (value of y when x = 0), We can tell if the say that the graph of a direct variation or proportional relationship is a straight line with no y intercept (b = 0, that is it passes through the origin).
X=5 , x=3 - just plug in 2 and 3 into x and the lines will make it positive instead of negative
