Given: m is the midpoint of ln; lm =8 prove: ln=16

I hope this helps

Step-by-step explanation:

M is the midpoint of LN                                         Given

LM≅LN                                                      Definition of Midpoint

LM=8                                                                       Given

MN=8                                                                  Substitution

LM+MN=LN                                          Segment Addition Postulate

8+8=LN                                                               Subsitution

LN=16                                                                     Addition

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

where are the choices?