Final answer:
In this case we find that the missing length is d) 4x+2.
The answer is option ⇒d
Step-by-step explanation:
To find the missing length in the equilateral triangle, we can use the fact that all three sides of an equilateral triangle are equal in length. We are given the lengths of two sides: 5x+4 and 7x+3.
So, we can set up the equation:
5x+4 = 7x+3
Solving this equation for x, we find x = 1/2. Now, we can substitute this value of x into any of the given options to find the missing length. Option (a) x+7 becomes (1/2)+7 = 7.5, option (b) 2x+1 becomes 2(1/2)+1 = 2, option (c) 3x−1 becomes 3(1/2)−1 = 0.5, and option (d) 4x+2 becomes 4(1/2)+2 = 4.
So, the missing length in the equilateral triangle is d) 4x+2.
The answer is option ⇒d