Final answer:
To find the value of x in the given triangle, we can use the fact that the midsegment of a triangle is parallel to the base. By setting up an equation and solving for x, we find that x = 6.
Step-by-step explanation:
To find the value of x, we can set up an equation using the fact that the midsegment of a triangle is parallel to the base. The ratio of the lengths of the midsegment and the base is equal to 1/2. So, we can set up the equation:
(2x+3)/30 = 1/2
Now we can cross-multiply and solve for x:
2(2x+3) = 30
4x+6 = 30
4x = 24
x = 6