The lengths of the three line segments after dilation is 
, 
and 
Explanation:
Given that the length of three line segments are PQ = 2 cm, AB = 1.5 cm and MN = 3 cm
Also, given that the dilation with a scale factor of 2 is applied to the three line segments.
We need to determine the length of line segments P'Q', A'B' and M'N'
Dilation means the transformation of the same shape with different size.
Since, it is given that the dilation with a scale factor of 2, we shall multiply each of the line segments with 2.
Thus, we have,
Thus, the lengths of the three line segments after dilation is , and
7, 14, 21, 28, 35, 42, 49, 56, 63
Answer:
1995 => 22°
2005 => 36°
Step-by-step explanation:
Central angle of the sector representing nuclear energy in 1995 = percentage of nuclear energy in 1995 ÷ 100 × 360°
Nuclear energy is approximately 6% (rounded to whole number) in 1995.
Central angle = 
Central angle representing nuclear energy in 1995 ≈ 22° (nearest whole number).
Central angle of the sector representing nuclear energy in 2005 = percentage of nuclear energy in 2005 ÷ 100 × 360°
Nuclear energy is approximately 10% (rounded to whole number) in 1995.
Central angle = 
Central angle representing nuclear energy in 2005 = 36°.
Answer:
x > -2
Step-by-step explanation:
First, you simplify both sides of the inequality by combining like terms
Then, you add 6x to both sides in order to isolate x (bring all the Xs to one side)
Lastly, you divide by 8 in order to cancel out 8x solve for x. Since 8 is not a negative number, you DO NOT flip the sign.
