Final answer:
The question seeks to find the value of a variable in each parallelogram expression. Assuming the expressions represent opposite sides of a parallelogram and thus are equal, solving the given equations provides x = 2 for the variable, and this can be used to solve for any other expressions involving x.
Step-by-step explanation:
The question appears to be asking for the solution to a set of algebraic expressions related to a parallelogram, possibly in the context of a geometry problem or a vector addition problem. Although the question context and figure references are not clear, the typical approach would involve using properties of a parallelogram to find the value of the variable, where opposite sides are equal in a parallelogram. If the expressions (b) 5x + 2 and (d) 6x represent the lengths of opposite sides, and since they must be equal, we can deduce that 5x + 2 = 6x.
To solve for x, we subtract 5x from both sides:
5x + 2 - 5x = 6x - 5x
2 = x
Now, using the value of x, we can solve for the expressions (c) 5x + 10:
5(2) + 10 = 10 + 10 = 20
The value of expression (c) is therefore 20.