Understanding and applying theorems and properties about circles

Select the correct equation to solve for x.

• 3x + 6 = 2x + 5

• 5x = 11

• 6x = 30

• 6x² = 30

Answer explanation

Find the value of "x"

• 12

• 9

• 16

• 8

Solve for x. Assume that lines which appear to be tangent are tangent.

• 8

• 2.44

• -2.44

• -8

Segments ST and TR are both tangent to circle O. If ST = x² - 10 and TR = 3x, what is the value of x?

• x = 5
• x = - 2
• x = 2
• x = -5

Which statements are true?

• AD = 2CB

• AB = AC

• Triangle ABC is isosceles

• CD = AD

Find the value of x. Round your answer to the nearest tenth, if necessary.

• $5.3$

• $12$

• $18.8$

• $120$

Determine the value of x using the information given in the diagram.

• x = 6.25

• x = 16

• x = 20

• x = 36

In the circle AB=12 and DE=16. Find CF. Round you answer to the nearest hundredth.

In the diagram, the diameter of the circle is perpendicular to the chord. Solve for the value of "x"

• 26
• 24
• 30
• 20

Find the length of the unknown segment (x) in

• x = 6.11

• x = 6.24

• x = 6.32

• x = 6.57