Answer:
Step-by-step explanation:
From the graph attached,
Coordinates of the vertices are,
Q(1, 3), R(3, -3), S(0, -2) and T(-2, 1)
Following the rule of translation by 3 units to the right and 2 units down 
(x, y) → (x+3, y-2)
Q(1, 3) → Q''(4, 1)
R(3, -3) → R"(6, -5)
S(0, -2) → S"(3, -4)
T(-2, 1) → T"(1, -1)
Following rule 
(rotation of a point by 180° about the origin) will give the image points,
(x, y) → (-x, -y)
Q"(4, 1) → Q'(-4, -1)
R"(6, -5) → R'(-6, 5)
S"(3, -4) → S'(-3, 4)
T"(1, -1) → T'(-1, 1)
Answer:
a) The percentage of adults who smoke are decreasing with time. b) the equation that best described this data is y=-0.3364x+22.809 (R^2=0.859) in which y is the percentage of adults who smoke and x the number of years. c) the percentage of adults who smoke will be 19.8% and it will not meet the expected 12%, it would take 32 years to reach that value.
Step-by-step explanation:
The data can be plotted to which years is the independent variable and percentage of adults who smoke is the dependent variable. The linear trendline that described this data has a negative slope which indicates that the percentage of adults is decreasing with time. In order to determine if the OSH target is being met, the x is replaced by 9 which is the goal period of nine years. The y is 19% which is higher than the 12% goal. In order to know the period it will take to the reach the goal of 12%, the y is replaced by 12 in the curve and the x is the answer in years = 32 years.
The answer is 3 for this question.
Answer:
The answer to your question is below
Step-by-step explanation:
1) Alternate interior angles measure the same
10x - 10° = 100°
10x = 100° + 10°
10x = 110°
x = 110° / 10°
x = 11°
2) Alternate exterior angles measure the same
x + 99° = 90°
x = 90° - 99°
x = -9°
3) Supplementary angles measure 180°
(6x + 12) + (14x + 8) = 180°
6x + 12 + 14x + 8 = 180°
20x + 20 = 180
20x = 180 - 20
20x = 160
x = 160 / 20
x = 8
4) Alternate exterior angles measure the same
26x + 1 = 131°
26x = 131° - 1°
26x = 130°
x = 130° / 26°
x = 5
5) Consecutive interior angles measure 180°
x + 100 + 85° = 180°
x + 185 = 180
x = 180 - 185
x = -5
6) Corresponding angles measure the same
7x - 7 = 70
7x = 70 + 7
7x = 77
x = 77 / 7
x = 11
7) Supplementary angles measure 180°
(12x + 8) + (100°) = 180°
12x + 8 + 100 = 180
12x + 108 = 180
12x = 180 - 108
12x = 72
x = 72 / 12
x = 6
8) Consecutive interior angles measure 180°
18x + 8x - 2 = 180°
26x = 180 + 2
26x = 182
x = 182 / 26
x = 7
9) Corresponding angles measure the same
27x + 7 = 28x + 3
27x - 28x = 3 - 7
-1x = -4
x = -4/-1
x = 4
10) Consecutive interior angles measure 180°
(x + 107) + (x + 87) = 180
x + 107 + x + 87 = 180
2x + 194 = 180
2x = 180 - 194
2x = -14
x = -14 / 2
x = -7
They are parallel to each other
