How to find the measure of x given two congruent chords

The video tutorial explains the relationship between equal cords and arcs in a circle. It demonstrates that if two cords in a circle are equal in length, their corresponding arcs are also equal. The tutorial then guides viewers through setting up and solving an equation to find the value of X, illustrating the process with a step-by-step example.

What happens to the arcs of a circle when two chords are equal in length?

• The arcs are unequal.

• The arcs become longer.

• The arcs are equal.

• The arcs disappear.

Why is it important to set up an equation when dealing with equal chords and arcs?

• To solve for unknown variables.

• To determine the radius of the circle.

• To change the shape of the circle.

• To find the length of the circle.

What is the first step in solving the equation for X in this context?

• Multiply both sides by X.

• Divide both sides by X.

• Subtract X from both sides.

• Add X to both sides.

After setting up the equation 17 = 3X + 2, what is the next step to isolate X?

• Multiply both sides by 3.

• Subtract 2 from both sides.

• Add 2 to both sides.

• Divide both sides by 3.

What is the final value of X after solving the equation?

• X = 3

• X = 9

• X = 5

• X = 7