Question

5.
If , then x = ?


A.
-10

B.
-6

C.
0

D.
6

E.
10

Skip this question for now.

Answer 1

so A!

Answer 2

On the PSAT is shows that E is the correct one and IDK why.

Answer 3

A makes sense normally so I don't understand why A is wrong.

Answer 4

Huh I have no idea, that doesn't make sense! I would go with A if it were me...

Answer 5

I know, thats why I want to know why its like that.

Answer 6

I found this from the college board:
Mathematics Question 22

Choice (A) is correct. The diameter of a circle is the longest line segment between two points on
the circle. Hence if C is the smallest circle that passes through both P and Q, then the segment
PQ must be a diameter of C. Therefore, the smallest circle that passes through points P and Q
must have diameter 20 and radius 10.

Choice (B) is not correct. Let O be the midpoint of segment
PQ. Then the circle with center O
and radius 10 passes through both P and Q. Therefore, 15 cannot be the radius of the smallest
circle that passes through both P and Q.

Choice (C) is not correct. The diameter of the smallest circle that passes through both P and Q is
20, but the question asks for the radius of this circle, which is 10.

Choice (D) is not correct. Let O be the midpoint of segment
PQ. Then the circle with center O
and radius 10 passes through both P and Q. Therefore,
10 3 cannot be the radius of the
smallest circle that passes through both P and Q.

Choice (E) is not correct. Let O be the midpoint of segment
PQ. Then the circle with center O
and radius 10 passes through both P and Q. Therefore,
20 3 cannot be the radius of the
smallest circle that passes through both P and Q.
http://media.collegeboard.com/digitalServices/pdf/psat/math-section4-2013.pdf

Answer 7

Thanks, this is actually my first time using this website for help. I'll be asking more when I need the help.