Answer:
Any point N on line r maps to itself.
Step-by-step explanation:
Reflection is one of the examples of solid transformation in which a given point, segment, or figure is flipped over a reference point or line to produce its image. The distance of the object to the reference point or line is the same as the distance of its image to the point or line. And both have the same size, but different orientation.
The option that does not fully define a reflection is; any point N on line r maps to itself, because no image of point N is produced after the operation.
Answer:
X>3
Step-by-step explanation:
X+9<4X
x-x+9<4x-x
9<3x
3<x
Answer:
163
Step-by-step explanation:
Given the following :
Number of visitors on Friday = 3,260
Number increased by 15% on Saturday
Projected percentage increase on Saturday = 20%
Actual percentage increase in number of visitors = 15%
Number of visitors on Saturday :
(100 + 15)% × 3260
115% * 3260
(115/100) * 3260
= 3749 visitors
Projected percentage increase = 20%
Projected number:
((100 + 20)% * 3260
120% * 3260
(120/100) * 3260
= 3912
Difference : (3912 - 3749) = 163
Answer:
x = 14
Step-by-step explanation:
Solve for x:
90 = -4 + 2 x + 3 (x + 8)
3 (x + 8) = 3 x + 24:
90 = 3 x + 24 + 2 x - 4
Grouping like terms, 3 x + 2 x - 4 + 24 = (2 x + 3 x) + (-4 + 24):
90 = (2 x + 3 x) + (-4 + 24)
2 x + 3 x = 5 x:
90 = 5 x + (-4 + 24)
24 - 4 = 20:
90 = 5 x + 20
90 = 5 x + 20 is equivalent to 5 x + 20 = 90:
5 x + 20 = 90
Subtract 20 from both sides:
5 x + (20 - 20) = 90 - 20
20 - 20 = 0:
5 x = 90 - 20
90 - 20 = 70:
5 x = 70
Divide both sides of 5 x = 70 by 5:
(5 x)/5 = 70/5
5/5 = 1:
x = 70/5
The gcd of 70 and 5 is 5, so 70/5 = (5×14)/(5×1) = 5/5×14 = 14:
Answer: x = 14
