Using the midsegment theorem to determine your missing values

The video tutorial explains how to find the value of X in a trapezoid using the midsegment formula. It begins by introducing the problem and the concept of a midsegment. The instructor then explains the relationship between the bases and the midsegment in a trapezoid. The formula is applied to the given expressions for the bases, and the equation is solved step-by-step to find the value of X. The tutorial concludes with the final calculation and solution.

What is the formula used to relate the bases and the midsegment in a trapezoid?

• The sum of the bases times 2 equals the midsegment length.

• The sum of the bases divided by 2 equals the midsegment length.

• The product of the bases equals the midsegment length.

• The difference of the bases times 2 equals the midsegment length.

How do you express the midsegment equation using the given base expressions?

• 15 = 1/2 (2X + 5) - (5X - 3)

• 15 = 2 (2X + 5) + (5X - 3)

• 15 = 1/2 (2X + 5) + (5X - 3)

• 15 = (2X + 5) + (5X - 3)

What is the next step after combining like terms in the equation 15 = 1/2 (7X + 2)?

• Add 2 to both sides.

• Subtract 2 from both sides.

• Multiply both sides by 2.

• Divide both sides by 7.

What is the value of X after solving the equation 28 = 7X?

• X = 2

• X = 4

• X = 3

• X = 5

What operation is performed to eliminate the fraction in the equation 15 = 1/2 (7X + 2)?

• Divide by 2

• Add 2

• Multiply by 1/2

• Multiply by 2