Since BD bisects angle ABC, that means angle ABD and angle CBD are equal to each other. With that set up the equation to solve for x like this:
-4x+33 = 2x+81
-2x -2x
————————
-6x +33 = 81
-33 -33
————————
-6x = 48
————- (divide by -6)
-6
x = -8
Now substitute that to ABD
-4(-8) +33
32 +33
=65
here’s CBD
2(-8) + 81
-16 + 81
=65
Finally angle ABC will be double the amount of ABD or CBD so 65 times 2 is 130.
ANSWERS: (angles)
ABD and CBD: 65
ABC: 130
Answer:
First, you have to rewrite the question in a way to isolate your Y. This means moving the -3 over to the other side.
Y = 2(x+1) + 3
Now, you should multiply the 2 out in the parenthesis.
Y=2x+2+3
Now, combine like terms! In this case, your like terms are 2 and 3.
Y=2x + 5
Because there are no more like terms, and Y is completely isolated, Y=2x + 5 is your answer!
9514 1404 393
Answer:
x = 4
Step-by-step explanation:
I like to put these in the form f(x) = 0. We can do that by subtracting the right side. Common factors can be cancelled from numerator and denominator, provided they are not zero.

_____
If you leave the numerator as (x-3)(4-x), then there are two values of x that make it zero. Because x=3 makes the equation "undefined", it cannot be considered to be a solution.
Answer:
Subtract 60 from the sum of 8e and 20 when e=7
8e +20
8(7) + 20
56+20=76
76-60=16