What is the value of t?

Step-by-step explanation:

First, note that the entire thing is a square. This is because since two of the opposite angles are right angles, the remaining two must also be right angles.

In a square, all four sides are equivalent.  

Therefore, the sides PS an RS are equal to each other. Thus:

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

x= -8

step-by-step explanation: