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.
From the description, you can get two equation that looks like this:
L= 2*W+6.7cm
Perimeter= 57.2cm
Using perimeter formula, you can put the first and second equation like this:
perimeter= 2L + 2W
57.2cm= 2(2*W+ 6.7)+2W
57.2cm= 4W+ 13.4+ 2W
57.2- 13.4= 6W
W= 43.8/6= 7.3 cm
L= 2W+ 6.7
L= 2*7.3 + 6.7= 21.3
Answer: <span>A. Length=21.3 cm; width=7.3 cm</span>
The answer is 0.4 or 0.40
Answer:
(5,11)
Step-by-step explanation:
Make a picture a map it out.
