(6x-1)+20+(x+14)=180
6x-1+20+x+14=180
6x+x+20+14-1=180
7x+33=180
-33 -33
7x=147
7/7x=147/7
x=21
Measure of angle A=:
(6x-1)
6x-1
6(21)-1
126-1
125
Measure of angle A is 125°
Measure of angle C=
(x+14)
x+14
21+14
35
Measure of angle C is 35°
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:
48cm^2
Step-by-step explanation:
You first find the area (l * w) of the first rectangle on the top.
4 * 2 is 8
Then you find the area of the rectangle on the bottom.
5 * 8 is 40
Finally you add the area's together.
48
Answer:
edit: 92-17=75
Step-by-step explanation:
when using range you subtract the highest number with the lowest