Answer:
the graph in the attached figure
Step-by-step explanation:
we have

isolate the variable y
Subtract 7x both sides


Divide by 3 both sides

The solution of the inequality is the shaded area below the dashed line
The equation of the shaded line is 
The slope of the dashed line is negative 
The y-intercept of the dashed line is the point 
The x-intercept of the dashed line is the point 
To graph the inequality plot the intercepts and shade the area below the dashed line
using a graphing tool
the graph in the attached figure
82
The sum of the three angles is 180. One is given and the other we can figure out because it forms a straight line (180) with the angle to the left outside. The outside angle is 117, so 180-117 is 63.
So then add up the 3 angles in the triangle
63+35+y=180
y= 82
Answer:
21 feet
Step-by-step explanation:
Given :
Height of the tripod above the ground = 5 ft
Elevation = 8°
Distance of the tree from the tripod = 120 ft
Therefore from the figure, we can find the height of the tress as:


∴ BC ≈ 16
Therefore, CE = BC+BE
= 16 + 5
= 21
Therefore the height of the tree is 21 feet.
Answer:

Step-by-step explanation:
This shape is actually just a rectangle with a missing triangle. We can first find the area of the rectangle with
and subtract the triangle.
Area of missing triangle =
(b is the base and h is the height)
Base = 
Height = 
Area of missing triangle = 
Area of the figure: 
--------------------------------------------------------------------------
Alternatively, you can find the area of each individual shape and add them all up.
Area of the rectangle:
Area of square: 
Area of triangle: 
Total Area: 
Answer:
f
Step-by-step explanation: