Answer:
m = 25/28
Step-by-step explanation:
It's best to enclose fractional coefficients inside parentheses to eliminate ambiquity: 2/7m-1/7=3/14 => (2/7(m - (1/7) = (3/14).
The LCD is 14; each of the denominators {7, 14} divides evenly into 14. Hence our equation becomes
(4)(m - 1/7) = 3
... after multiplying every term by 14.
Let's multiply each side by 7 to eliminate the remaining fraction:
4(7m - 1) = 21, or
28m - 4 = 21, or
28m = 25.
Hence, m = 25/28.
Answer:
Slope = -1
Step-by-step explanation:
$12,500 x 5% = $625.
$12,500 + $625 = $13,125.
Answer:
28. 120 degrees
29. 30 degrees
30. 56 degrees & 124 degrees
31. 72 degrees, 108 degrees, and 18 degrees
Step-by-step explanation:
We assign variable x for the answer we are looking for (28-29).
28.
Supplement means x + y = 180 degrees. We also know x = 2y. Substitution gives us 3y = 180 degrees, so y = 60 degrees and x = 120 degrees.
29.
Complement means x + y = 90 degrees. We are given 2x = y. Substitution brings us 3x = 90 degrees, x = 30 degrees.
30.
Supplement means x + y = 180 degrees. We are told that y = 2x + 12, so we substitute. This gives 3x + 12 = 180 degrees, x = 56 degrees. Substituting that back into the equation for y, we get 124 degrees.
31.
Supplement means x + y = 180 degrees. Complement means x + z = 90 degrees. Using our given info, we know y = 6z. We can substitute that in to get x + 6z = 180. Subtracting our second and third equations, we get 5z = 90, z = 18 degrees. Therefore, x = 72 degrees, y = 108 degrees.
Answer:
You have to have the graph to answer it.
Step-by-step explanation:
