1. which theorm explains why the circumcenter is equidistant from the vertices of a triangle? a. vertical angles theorem b. concurrency of perpendicular bisectors theorem c. concurrency of angle bisector theorem d. alternate interior angels theorem 2. if the circumcenter of a triangle lies on the triangle, then what type of triangle is it? a. acute b. right c. obtuse d. equilateral

Part A:

Option B - Concurrency of Perpendicular Bisectors Theorem is the correct answer.

Concurrency of Perpendicular Bisectors Theorem states that the perpendicular bisectors of the sides of a triangle intersect in a point that is equidistant from the vertices.

Part B:

Option B- right triangle is correct.

A right-angled triangle is a triangle which have one right angle. A triangle is acute if the circumcenter lies inside the triangle and it is obtuse if the circumcenter lies outside the triangle and right if the circumcenter lies on the triangle.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

where is the picture

step-by-step explanation: