Simplify both sides of the inequality.
−16x+8<2x+5
Subtract 2x from both sides.
−16x+8−2x<2x+5−2x
−18x+8<5
Subtract 8 from both sides.
−18x+8−8<5−8
−18x<−3
Divide both sides by -18.
−18x/−18 < −3/−18
x>16
Ans : x > 16
Y= 0 would be perpendicular because it's a horizontal line, and x= 12 is a vertical line
X=0 would be parallel because they are both vertical lines
Step-by-step explanation:
all work is shown/pictured
The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.
<h3>What is Area ?</h3>
Area is the space occupied by a two dimensional object,
The area and perimeter of the given shape can be determined by dividing it into basic shapes.
The area and the perimeter of the shape given = Area of the rectangle +Area of upper triangle - Area of two small triangles at the bottom
Area of rectangle = 5 mi * 9 mi = 45 sq.mi
Area of upper Triangle = (1/2) *9*3 = 27/2 sq.mi
Area of small Triangle = (1/2) * 3*6 = 9 sq.mi
Area of other small Triangle = (1/2)*3*3 = 9/2 sq.mi
Area of the figure = 45 +13.5 -9-4.5
Area of the figure = 45 sq.mi
Similarly for Perimeter = Perimeter of the rectangle +Perimeter of upper triangle -Perimeter of two small triangles at the bottom
Perimeter = 28 -(3+6+6.708) -(3+3+4.2426) +(3+9+9.486
Perimeter = 23.5354 mi
Therefore , The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.
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