81 = 37.5% of x.
81 = (37.5/100)*x
81 = 0.375x
0.375x = 81
x = 81/0.375
x = 216
The number is 216.
He assumes that 60-x and 2x-6 are vertical angles, so he equated these two expressions.
60-x=2x-6
60+6=2x+x
66=3x
x=22
Answer:
circumcenter
Step-by-step explanation:
Suppose the three food trucks points a,b,c are joined together in such a way that the form a triangle. The perpendicular bisectors of the triangle are concurrent . The point of concurrency is called <u>circumcenter.</u>
According to the circumcenter theorem the points ( vertices of the triangle a,b,c) are equidistant from the center D ( point of concurrency) called the circumcenter.
As the food distributor is equidistant from each of the trucks it lies at the circumcenter point of concurrency.
The drawing is just a generalizations to give an idea. It does not show actual bisectors perpendicular.
Answer:
The height is 14.3 km
Step-by-step explanation:
Given

--- angle of elevation
Required
Determine the height above the ground
The question is illustrated using the attached image.
To calculate the required height, we make use of:

Where AB represents the height and BC, the distance.
So:

Make AB the subject



--- approximated