Answer: 30 degrees
Step-by-step explanation: Vertical angles are always congruent. If Angle A and Angle B are vertical then they are equal to each other. They both will way thirty degrees.
Answer:
412,090
Step-by-step explanation:
math+math+brain+school
Answer:
Total variable costs for the summer at each price:
a. = $10,185
b. = $5,820
c. = $1,455
Step-by-step explanation:
a. 35 lawns per week x 12 weeks x $24.25 variable cost
= 35 * 12 * $24.25
= $10,185
b. 20 lawns per week x 12 weeks x $24.25 variable cost
= 20 * 12 * $24.25
= $5,820
c. 5 lawns per week x 12 weeks x $24.25 variable cost
= 5 * 12 * $24.25
= $1,455
d. The variable cost, as can be seen from above, changes based on the volume of activity or production. The number of lawns influenced the cost, since the other indexes are the same in each case.
Use an equation of proportions to solve this problem.
x 44 min
-------- = ------------
6 mi 55 min
Reduce this to x/6 = 1/11. Then 11x = 6, and x = 11/6 miles, or 1 5/6 miles.
55x = 264 => 4.8 miles in 44 minutes.
Answer:
Step-by-step explanation:
Given that in the game Scrabble, there are a total of 100 tiles. Of the 100 tiles, 42 tiles have the vowels A, E, I, O, and U printed on them, 56 tiles have the consonants printed on them, and 2 tiles are left blank.
a. If tiles are selected at random, the probability that the first tile drawn from the pile of 100 tiles is a vowel = 
b. If tiles drawn are not replaced, the probability that the first two tiles selected are both vowels =
c. Event A is drawing a vowel, event B is drawing a consonant, and event C is drawing a blank tile. A1 means a vowel is drawn on the first selection, B2 means a consonant is drawn on the second selection, and C2 means a blank tile is drawn on the second selection. Tiles are selected at random and without replacement.
i. Find P(A1 and B2).
=
ii. Find P(A1 and c2).
=
iii. Find P(A1 and A2).=