Assuming you mean angle ABC and not 2ABC?
Since ray BD bisects angle ABC we can set the two angle measures given equal to each other.
2x+7=4x-41
Solve for x=24
Plug in the x to find angle ABD 2(24)+7=55
therefore angle ABD is 55 and angle DBC is 55 so angle ABC is 110
They stop at the same time after 4 times for the southbound bus to return and five times for the northbound bus returns to the bus stop
2.5 years
~You need to set this problem up in the I=PRT form. This should be your formula then, 450=2400(.075)(t). Then do 2400 times .075 and then times that by t which equals 180t. To get rid of that t then take 450 divided by 180 and you get 2.5. Remember when working with rates put them in decimal form also but your time in years.
I hope this helps you:)
Answer:
12
Step-by-step explanation:
1/3 of 12 = 4
1/4 of 12 = 3
4 is 1 more than 3.
The number is 12.
_____
If this does not immediately come to mind, you can solve for the number, x:
x/3 -x/4 = 1 . . . . the difference between 1/3 of x and 1/4 of x is 1
x/12 = 1 . . . . . . . collect terms: (1/3 -1/4 = 4/12 -3/12 = 1/12)
x = 12 . . . . . . . . multiply by 12
The x-intercepts are the values of x for which f(x) = 0.
x^2 + 4 = 0
x^2 = -4
x= ±√(-4), which are not real numbers. f(x) does not have an x-intercept.
