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: sally initially has $240, Tom initially has $180.
Step-by-step explanation:
Let initial amount of money sally has = x
Then, initial amount tom has = 75% * x = 0.75x
Now to present,
Amount sally has = x -120
Amount tom has = [x - 120] + [50% * (x-120)]
= x - 120 + 0.5x - 180
= 1.5x - 180
Since Tom didn't spend, it means this is the same amount tom has then we equate both equations.
0.75x = 1.5x - 180
180 = 0.75x
x = 240
Therefore, initial money of sally of sally = $240
Initial money of tom = 240 * 0.75 = $180.
Answer:
21=3(4)+9
Step-by-step explanation:
Assuming that the equation that you are trying the get is y=mx+b, plug in m, x, and b to get:
y=3(4)+9
y=12+9
y=21
Please be more specific so that you get the answer you need
<span>-2i + (9 − 3i) − (6 − 10i)
-2i - 3i + 10i + 9 - 6
5i + 3
3 + 5i</span>