Answer:
C = 39
Step-by-step explanation:
From the question given above, the following data were obtained:
A = 2x + 108
B = x + 33
C =?
Next, we shall obtain an expression for C. This can be obtained as follow:
A + B + C = 180 (sum of angles in a triangle)
2x + 108 + x + 33 + C = 180
2x + x + 108 + 33 + C = 180
3x + 141 + C = 180
Make C the subject by rearranging
C = 180 – 141 – 3x
C = 39 – 3x
Next, we shall determine the value of x. This can be obtained as follow:
A = 2x + 108
B = x + 33
C = 39 – 3x
A + B + C = 180
2x + 108 + x + 33 + 39 – 3x = 180
2x + x – 3x + 108 + 33 + 39 = 180
3x – 3x + 180 = 180
3x – 3x = 180 – 180
3x – 3x = 0
x(3 – 3) = 0
x(0) = 0
x = 0
Finally, we shall determine C. This can be obtained as follow:
C = 39 – 3x
x = 0
C = 39 – 3(0)
C = 39 – 0
C = 39
Answer:
slope = 1
y-intercept = (0 , -4)
x - intercept = (4 , 0)
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
Note that there is no number besides the x. When this happens, the slope is to be assumed as 1.
The number (and sign) that replaces the b is the y-intercept. In this case, it is (0 , -4).
The x-intercept is the point in which you intercept the y-line at 0. Plug in 0 for y, and solve for x:
0 = 1(x) - 4
0 = x - 4
0 (+4) = x - 4 (+4)
x = 4
x-intercept = (4 , 0)
Rotating CD 180 degrees around the point D would mean rotating it to the other side of D, in other words, rotating it clockwise. The new line would be D->M->C
Rotating CD 180 degrees around the point E would mean rotating it clockwise till "E" is a point of the line. The new line would be E->M->D.
Rotating CD 180 degrees would keep the line in the same position right now but with CD being in different order. The new line would be D->M->C.
Best of Luck!
Answer:
the answer will be x=-9
Step-by-step explanation:
-5(x+6)=15
-5x-30=15
-5x=15+30
-5x=45
×=-9
