The two given angles are vertical angles which mean they are the same:
9x + 72 = 4x + 112
Subtract 72 from bot sides:
9x = 4x + 40
Subtract 4x from both sides:
5x = 40
Divide both sides by 5:
X = 8
Answer:
Option D.
Step-by-step explanation:
Consider option D. 
Take point (0,0)
On putting this point in inequation 
, we get
which is true . So, solution is region towards the origin i,e region below the line 
including the line itself .
On putting (0,0) in inequation 
, we get 
which is false , so solution is region away from the origin i.e region below line 
including the line itself .
So, common solution to both the inequations is the shaded part in the given figure .
In other words, we can say that the graph shown in the given figure represents system of equations:
Answer:
x-2
The choose (1)
Step-by-step explanation:
(x³-3x²+3x-2)÷(x²-x+1)
(x-2)(x²-x+1) ÷ (x²-x+1)
Delete (x²-x+1)
so = (x-2)
Answer:
x = 67; y = 40
Step-by-step explanation:
You are correct with y. Angles y + 23 and 63 are vertical, so they are congruent. That gives you y + 23 = 63, which gives y = 40.
To find x, look at angles 2x - 17 and 63.
They are adjacent angles whose outside rays lie on a line. Angles like these are called a linear pair, and they are supplementary. That means their measures add up to 180 deg.
2x - 17 + 63 = 180
2x + 46 = 180
2x = 134
x = 67
You ran 4.64 km altogether
Step-by-step explanation:
If you go for a run on Monday and manage to run 2.32 km and the on Tuesday you run the same distance, then that would be another 2.32 km ran on Tuesday. We can then add these two together to figure out your Total distance ran altogether in those 2 days.
