Answer:
X is 36 and y is 48.
Step-by-step explanation:
So a couple of things here: both triangles are equal, and triangles always add up to 180 degrees. If we do some math:
180-108-48=24
This means that 2x-y needs to equal 24. We know what y is, it's 48 since both triangles are equal. Lets do some more math to find x.
48+24=72
72 divided by 2 = 36. 36 is the answer for x.
Answer: 9pi
Step-by-step explanation:
You solve an equation like this by adding the opposite of the constant to both sides of the equation.
... V -16 +16 = -32 +16 . . . . . addition property of equality: if a=c, then a+b = c+b
... V + 0 = -16 . . . . . . . . . . . . additive inverse property of integers: -16+16 = 0
... V = -16 . . . . . . . . . . . . . . . identity element of addition: V+0 = V
_____
<em>You can always do the same thing to both sides of an equation.</em> Here, it is useful to add the opposite of -16 to both sides. That way the constant on the left becomes zero, so you only have the variable by itself—which is what you want.
Answer:
The average rate of change is 4.
Step-by-step explanation:
It is 4 because when you do the formula to find the rate of change it comes out to be 4.
Trains depart after every 4 minutes.
Total time train takes to complete a circuit= 24 minutes
Evan sets off at 8:30 am, so he will be back at 8:54 am.
So time of trains coming in opposite direction:
8: 34 am
8:38 am
8:42 am
8:46 am
and 8:50 am
5 trains coming in opposite directions.
Now the trains started at 8:06 am from the stations are:
8:06 am
8:10 am
8:14 am
8:18 am
8:22 am
and 8:26 am.
So there are 6 trains started the circuit at 8:06 am.
Now total number of trains=6+5=11 trains
Answer: 11 trains will pass on complete circuit.
