Part A
Let x represent the number of coworkers who prefer the talk news radio.
% prefer the talk news radio,
% will be the percentage that corresponds to coworkers who do not prefer the talk news radio.
Part B
We apply ratio to find x.
Hence number that corresponds to 65% will be greater than 28.
If more, less will divide.
This implies that,
Hence 52 of her coworkers prefer the local news talk station.
The true statement is (c) No; the slopes of segment EF and segment DF are not opposite reciprocals.
<h3>Right triangles </h3>Right triangles have a pair of perpendicular lines
Coordinates
The coordinates are given as:
Start by calculating the slopes of lines DF and EF using:
So, we have:
Also, we have:
For the triangle to be a right triangle, then the calculated slopes must be opposite reciprocals.
i.e.
By comparison, the slopes of both lines are not opposite reciprocals.
Hence, the true statement is (c)
Read more about right triangles at:
Hello from MrBillDoesMath!
Answer:
80
Discussion:
Per the attachment, arc AB spans 110 degrees and arc BC spans 90 degrees (as that is the measure of the central angle subtending it). Hence arc ABC spans 110 + 90 = 200 degrees. As a circle has 360 degrees the smaller arc CA spans 360 - 200 = 160 degrees. But angle"b" is a tangent chord angle so its measure equals 1/2 the arc spanned, that is 1/2 ( 160 ) = 80 degrees
Thank you,
MrB
