Question:
Which of the following options have the same value as 65% of 20?
Choose 2 answers:
(A) 0.65⋅20
(B) 65/100 divided by 20
(C) 65/20 * 100
(D) 65 * 20
Answer:
Option A has the same value as 65% of 20
Step-by-step explanation:
Let x be the value of 65% of 20
Thus 65% of 20 is 13
Now ,
<u>Solving Option A</u>
=>
=> 13
<u>Solving Option B</u>
=> 65/100 divided by 20
=>
=>
=>0.0325
<u>Solving Option C</u>
=>65/20 * 100
=>
=>
=>325
<u>Solving Option D</u>
=> 65 * 20
=>
=> 1300
Answer:
Step-by-step explanation:
Perpendicular means that the slopes of the "old" line and the "new" line are opposite reciprocals; bisector means that the "new" line goes directly through the center of the "old" line. This perpendicular bisector, then, will go directly through the center of the "old" line, cutting it directly in half and leaving in its wake a 90 degree angle. To write this equation, then, of the perpendicular bisector, we need the slope of the old line and the midpoint of the old line. Let's work on the midpoint first:
So the "new" line will go through this point.
Onto the slope:
so the slope is
m = -4. That means that the perpendicular slope is
Now we're ready to write the equation:
and
and finally,
