The following is an incomplete paragraph proving that∠wrs≅∠vqt, given the information in the figure where segment uv is parallel to segment wz: according to the given information, segment uv is parallel to segment wz while angles squ and vqt are vertical angles. the vertical angles theorem. because angles squ and wrs are corresponding angles, they are congruent according to the corresponding angles postulate. finally, angle vqt is congruent to angle wrs by the transitive property of equality.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

answer: x=60