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
Step-by-step explanation:
An arithmetic sequence is given by relation as follows :
For the first term, put n = 1. So,
For fourth term, put n = 4. So,
For tenth term, put n = 10. So,
Hence, the correct option is (C).
It is a rectangle
The shaded thing
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Answer:
Since ZE and ZF are vertical angles, they are congruent.
8x+8 = 2x+38
8 = 2x-8x+38
8 = -6x+38
8-38 = -6x
-30 = -6x
x = -30/-6
x = 5