Answer:
C
Step-by-step explanation:
Notice that there is a little triangle formed by the lines on the right side of the diagram.
Let's find the angle measures of the triangle. One of them has a supplementary angle of 96 degrees, which means that the actual interior angle is 180 - 96 = 84 degrees.
Another angle has a supplementary angle of 137, which means that the actual interior angle of the triangle is 180 - 137 = 43 degrees.
Finally, we have the expression 2x - 23, which is an exterior angle. By definition, this exterior angle is equal to the sum of the interior angles of the triangle that do not include its supplementary angle. In other words:
2x - 23 = 84 + 43
Now we just solve for x:
2x - 23 = 84 + 43 = 127
2x = 127 + 23 = 150
x = 150/2 = 75 degrees
The answer is 75 degrees, or C.
Answer:
Absolute maximum is 2
Absolute minimum at -2
Step-by-step explanation:
The given parametric functions are:
By the chain rule:
At fixed points, 
This gives 
on 
This implies that the extreme points are 
and 
By eliminating the parameter, we have 
This is a circle with radius 2, centered at the origin.
Hence (0,2) is an absolute maximum ,at 
and (0,-2) is an absolute minimum at 
Given :
Hight of the van from the ground, h = 3 feet.
The ramp into the van makes a 12° angle with the ground.
To Find :
How long is the ramp.
Solution :
Let, length of ramp is l .
So, height of ramp in terms of length is given by :
Hence, this is the required solution.
The answer is 25.
Explanation: absolute value is always the opposite of the number inside the bars unless if the number is already positive, absolute value is always positive.
Answer:
33, 165, 133
Step-by-step explanation:
Check this file for the solution!
