How do I solve this?

Step-by-step explanation:

The first box can be filled by adding up the two angles:

  m∠L +m∠M = 42° +48° = 90°

You don't really have to go to that trouble, because you already know that the sum of the two acute angles in a right triangle is 90°. (They are complements of each other.)

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Since no side lengths are given, you need to use your calculator to find the sines of these angles, if a numerical value is required. If a literal ratio is required, the mnemonic SOH CAH TOA reminds you that ...

  Sin = Opposite/Hypotenuse

  sin(L) = MN/LM = sin(42°) ≈ 0.66913

  sin(M) = LN/LM = sin(48°) ≈ 0.74314

the statemwnt is the company makes small and large snow cone cups.

large=it holds more then the small

small=it holds less then the large

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

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

4x + 6 = 4x + 6

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

4x = 4x

x = x

unlimited solutions.