So all of the internal angles of a triangle will add up to 180 degrees. So if we add all of the expressions given and set them equal to 180, we can solve for x, then solve for each angle...
(2x + 1) + (3x - 3) + 9x = 180
2x + 3x + 9x + 1 - 3 = 180
14x - 2 = 180
14x = 182
x = 13
Now we can substitute 13 into each expression to find the value of each angle...
2x + 1 =
2(13) + 1 =
26 + 1 = 27 degrees
3x - 3 =
3(13) - 3 =
39 - 3 = 36 degrees
9x =
9(13) = 117 degrees
So the 3 angles are 27 degrees, 36 degrees, and 117 degrees.
The smallest is 27 degrees
** Note-- I don't see 27 degrees in the answer choices you gave, so I double checked my math (I didn't find any mistakes). Please check to see that the question is written correctly (pay close attention to plus and minus signs).
Answer:
length of side of newly formed cube = 13.13cm
Step-by-step explanation:
the volume of the rectangular metal block (V)=
length (L) × width (B) × height (H)
=》V = 27 × 7 × 12
=》V = 2268 cubic cm
and if it is melted and casted into a metal cube, then the volume remains the same
so, volume of cube = 2268 cubic cm
now,
let the measures of sides of the cube formed be a
volume of cube (V) =
=》
=》
=》
Answer:
Step-by-step explanation:
Answer:
x=-6
Step-by-step explanation:
2x+1=-x-5
3x+1=-5
3x=-6
x=-2
There are many answers to this, but one answer might be to take away 6 of the other colors. This is because if 12 marbles are to equal 50%, we need the other side to have the same amount of marbles as the blue. And since the other color marbles add up to 18 and not 12, we need to take away six of the other colored marbles to make it 12.
I hope I helped, and if you need more information, please feel free to tell me! :D