Answer:
1/2 = r
Step-by-step explanation:
7r + 21 = 49r
Subtract 7r from each side
7r-7r + 21 = 49r-7r
21 = 42r
Divide each side by 2
21/42 = 42r/42
1/2 = r
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Answer:
The equation of the line with slope 6 and containing the point (0, 4) will be:

The graph of the line y = 6x+4 is attached below.
Step-by-step explanation:
The slope-intercept form of the line equation

where
Given
The y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
The point (0, 4) indicates that:
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = 6 in the slope-intercept form of the line equation


Thus, the equation of the line with slope 6 and containing the point (0, 4) will be:

The graph of the line y = 6x+4 is attached below.
C. multiplication (the 8 x 9 within the parenthesis)
Answer:
1. x = 21
2. m∡ABC = 51°
Step-by-step explanation:
First problem, solve for x
the sum of inside angles of a triangle is 180
also the supplementary angle for L = 180 - 100 is 80°
now you can add all angles
80 + 2x - 11 + 2x + 27 = 180
4x + 96 = 180
4x = 84
x = 21
Second problem, solve for m∡ABC
the sum of inside angles of a triangle is 180
also the supplementary angle for C = 180 - 148 is 32°
now you can add all angles
31 + 2x - 15 + x - 5 = 180
3x + 12 = 180
3x = 168
x= 56,
now solve for m∡ABC = (x - 5)° = (56 - 5)° = 51°