Answer:
DF = 14
Step-by-step explanation:
Andrew was wrong in the assumption that DE = EF
Segments of tangents to a circle from the same external point are congruent
That is
EF = FG = 8
Then
DF = DE + EF = 6 + 8 = 14
Answer:p2+2p−24
Step-by-step explanation:(p+6)(p−4)
=(p+6)(p+−4)
=(p)(p)+(p)(−4)+(6)(p)+(6)(−4)
=p2−4p+6p−24
=p2+2p−24
Answer: all points
that satisfy
Step-by-step explanation:
The slope of the line is

So, substituting into point-slope form, the equation is

Therefore, all points
that satisfy
will lie on the same line.
Hello There!
The first statement is incorrect as congruent angles have the same measure but it doesn't have to 45°. It can be any value.
The second one is also incorrect. Congruent angles have the same measure but don't always total to 180° (which is what supplementary means). It would only be true if they are congruent right angles.
The third one is also incorrect as they don't always total to 90° either (Which is what complementary means).
The fourth one is correct, this is because congruent angles are simply angles with the same measure.
In short, you're answer is 4. Congruent angles always have the same measure.
Hope This Helps You!
Good Luck :)