Answer:
(2, 2 )
Step-by-step explanation:
Given the 2 equations
3x + 6y = 18 → (1)
- 3x + 4y = 2 → (2)
Adding the 2 equations term by term will eliminate the x- term, that is
0 + 10y = 20
10y = 20 ( divide both sides by 10 )
y = 2
Substitute y = 2 into either of the 2 equations and solve for x
Substituting into (1)
3x + 6(2) = 18
3x + 12 = 18 ( subtract 12 from both sides )
3x = 6 ( divide both sides by 3 )
x = 2
solution is (2, 2 )
Answer: a) $4.17
b) $6.95
Step-by-step explanation:
3 * 1.39 = 4.17
5 * 1.39 = 6.95
A segment is only a "midsegment" if it connects midpoints. When labels above and below are 9 and 72, it is clearly not a midsegment. However, because it is parallel to the base, segments above and below on one side are proportional to those in similar positions on the other side.
72/9 = 56/(3x -20)
We can multiply by (3x -20)/8 to get
3x -20 = 7
3x = 27
x = 9
Answer:
Step-by-step explanation:
area of sector=πr²/4=π ×6²/4=9 π ft²
area of one triangle= 1/2×6×6=18 ft²
area of three triangles=3×18=54 ft²
area of sector +area of three triangles=54+9 π ft²
area of circle=π×6²=36 π ft²
area of shaded region=36 π-9π-54=27 π-54=27(π-2) ft²
