3 years ago

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:

3 0

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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