By the word "dilation" we mean to say that the new measurement of the sides of the triangle A'B'C' is increased by a factor from the original measurement. To determine the scale factor of the dilation, we can divide the measurement of the sides of the new triangle by the measurement of the sides of the old one.
dilation factor = A'/A = B'/B = C'/C
She bought 11 shirts and 4 pants
Let x= pants
Let y= shirts
x+y=15
x+7=y
x=y-7
(y-7)+y=15
2y=22
y=11
x+y=15
11+x=15
x=4
Therefore, Elaine bought 11 shirts and 4 pants
2000 for RF and IT and EF per month...
30% goes to retirement.....0.30(2000) = 600
IT is 80% of RF.....0.80(600) = 480
remainder goes to EF.......2000 - (600 + 480) = 920
which represents 20% of his salary...
920 = 20% of salary (s)
920 = 0.20s
920/0.20 = s
4600 = s.........he earns 4600 per month <==
Answer: false
Step-by-step explanation:
false
Answer:
3x³ + x² + x + 1
= 3x³ - 3x² + 4x² - 4x + 5x - 5 + 6
= 3x²(x - 1) + 4x(x - 1) + 5(x - 1) + 6
= (x - 1)(3x² + 4x + 5) + 6
but 3x³ + x² + x + 1 = (x - 1).Q(x) + R
=> Q(x) = 3x² + 4x + 5
R = 6