Please help ❤❤❤❤.

∠ LOM = 48°

Step-by-step explanation:

∠ LOM +∠ MON = 180 ( straight angle ), that is

7x - 92 + 6x + 12 = 180

13x - 80 = 180 ( add 80 to both sides )

13x = 260 ( divide both sides by 13 )

x = 20

Thus

∠ LOM = 7x - 92 = 7(20) - 92 = 140 - 92 = 48°

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