Answer:
∠ MON = 128°
Step-by-step explanation:
∠ LOM + ∠MON = ∠ LON , substitute values
3x + 43 + 8x + 104 = 180, that is
11x + 147 = 180 ( subtract 147 from both sides )
11x = 33 ( divide both sides by 11 )
x = 3
Thus
∠ MON = 8x + 104 = 8(3) + 104 = 24 + 104 = 128°
Parenthesis are something you can use in math problems that mean anything inside of them is what you have to solve first. In PEMDAS P is parenthesis which means that is first.
Answer:
Step-by-step explanation:
h
Answer:
B
Step-by-step explanation:
distribute
5x+15-9x+4
combine like terms
-4x+19
Answer:
∠RST = 120°
Step-by-step explanation:
We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.
∠RSU +∠UST = ∠RST
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78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above
54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12
108 = 6x . . . . . . . . . . . multiply by 2
120° = (6x +12)° = ∠RST . . . . add 12, show units
The measure of angle RST is 120 degrees.
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<em>Additional comment</em>
Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.