a trapezoid has base lengths of (6x-1) units and 3 units. Its midsegment has a length of (5x-3) units. What is the value of x?
1 answer:
1. You have that: - The<span> lengths of the bases are (6x-1) units and 3 units. - The midsegment has a length of (5x-3) units. 2. To solve this exercise, you must apply the formula for calculate the length of the midsegment of a trapezoid, which is shown below: Midsegment=Base1+Base2/2 As you can see, the midsegment is half the sum of the bases of the trapezoid. 3. When you substitute the values, you obtain: (5x-3)=[(6x-1)+3]/2 4. Now, you can solve the problem by clearing the "x": </span> (5x-3)=[(6x-1)+3]/2 2(5x-3)=6x-1+3 10x-6=6x+2 10x-6x=2+6 4x=8 x=8/4 x=2
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