Which of the following expressions can be set equal to 2.74x - 7.9 to form an equation that
has no solution?
A 2.74x - 7.9
B 7.9x - 7.9
C 2.74x + 7.9
D 7.9x + 2.74

Given:

The expression is:

To find:

The expressions that can be set equal to the given expression to form an equation that has no solution.

Solution:

We have,

                    ...(i)

An expression whose constant term is different from the given expression but the variable term is same as the given expression, i.e., 2.74, is the required expression.

The expression with same variable term and different constant term is:

                   ...(ii)

Because on equating (i) and (ii), we get

This statement is false for any value of x. So, the equation has no solution.

Therefore, the correct option is C.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq