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: 232 pages
Step-by-step explanation:
Total digits = 588
1 digit page number:
1 to 9 = 1 × 9 = 9
Number of pages = 9/1 = 9
2 - digit page number :
10 - 99 = 2 × 90 = 180
Number of pages = 180/2 = 90
3 - digit page number :
588 - (9 + 180) = 588 - 189 = 399
Number of pages with 3 - digits = 399/3 = 133
Therefore, the total number of pages the book has is :
(9 + 90 + 133) = 232 pages
Answer:
x = 66
Step-by-step explanation:
m<5 + m<6 = 180
2x + 48 = 180
2x = 132
x = 66
9514 1404 393
Answer:
Table B
Step-by-step explanation:
If a table is to represent a function, it cannot have any repeated input values.
Table A repeats the input value 5.
Table C repeats the input value 1.
Table D repeats the input value 4.
Table B represents a function.
