Question

Help on this please.

Answer 1

Answer:

x = 11

Step-by-step explanation:

A triangle has three sides, which are its edges. Also, it has three vertices that are the corners of a triangle and where two edges meet.

The circumference is equidistant from the vertices of the triangle:

Equidistant = At equal distances.

The vertices in the picture are: A, B, C

The circumcenter is: P

So, we can apply the rule: PA = PB = PC

PA = 38

PB = 6x - 28

PC = ?

And since the picture labels PA and PB, we set up the equation:

PA = PB = PC

38 = 6x - 28

Add 28 to both sides

38 + 28 = 6x - 28 + 28

66 = 6x

Divide 6 on both sides

66/6 = 6x/6

Simplify

11 = x

Flip the equation

x = 11