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.
<span>x + (x + 1)
.............
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Answer:
1% of 300 is 3 so if you multiply that 3 by 64, you get 192 which is also 64% of 300
Step-by-step explanation:
.01 x 300 = 3
3 x 64 = 192
.64 x 300 = 192
Answer: See explanation
Step-by-step explanation:
Total number of text messages = 800
Amount used by Tommy and Mary = 1/2 × 800 = 400
Number of messages uses by Jack and Stefanie = 240
The expression to find the number of messages Cathy uses will be:
= 800 - (1/2 × 800) - 240
Since the expression is 800 - (1/2 × 800) - 240, the number of messages that Cathy will use will be:
= 800 - (1/2 × 800) - 240
= 800 - 400 - 240
= 160 messages
Answer:
3.35
Step-by-step explanation:
look at the picture
