In parallelogram PQRS, PQ =4x+28, QR=x+31, RS = 10X+4. Which of the following is the length of RS ? Hint: draw a picture.*
0 1
44
32
4

44

Step-by-step explanation:

1) we know that opposite sides of a parallelogram are congruent so

4x+28=10x+4

2) subtract 4 on both sides

4x+24=10x

3)subtract 4x on both sides

24=6x

4)divide by 6 on both sides

4=x

5)substitute for x

length of RS =10(4)+4

length of RD=44

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: (3,11) is your answer.