Answer:
8) <em>x</em>=9
10) 23 degrees
Step-by-step explanation:
8) vertical angles are congruent to each other so we can set the expressions as such and solve:
<u>7x</u> + 3 = <u>10x</u> - 24
<u>3</u> = 3x<u> - 24</u>
<u>27</u> = <u>3x</u>
9 = x
10) since the angles are complementary they equal 90 degrees, so we can set the expression like this and solve for <em>x</em>:
<u>12x</u> + 7 + <u>6x</u> - 7 = 90
18x <u>+ 7 - 7</u> = 90
<u>18x</u> = <u>90</u>
x = 5
now we plug it back into the expression equivalent to the measure of angle O:
<u>6(5)</u> -7
<u>30 - 7</u>
23 degrees
sec ( t ) cos ( t ) = (1/cos (t)) *cos(t) = 1
The probability that the train will be there when Alex arrives is 0.1.
Given that the time that train arrives between 1:00 P.M to 2:00 P.M. and waits for 10 minutes. Alex arrives between 1:00 P.M to 2:00 P.M.
We are required to find the probability that the train when Alex arrives.
Probability is the likeliness of happening an event among all the events that are possible to happen.
Probability=Number of items/total number of items.
Number of combinations of timings in which the train may have arrived=60/10=6 combinations
Number of ways in which Alex arrives at the station=60.
Probability=6/60
=1/10
=0.1
Hence the probability that the train will be there when Alex arrives ie 0.1.
Question is incomplete. The following things should be included:
Timing in which train arrives is between 1:00 P.M and 2:00 P.M.The train waits for 10 minutes. Alex arrives between 1:00 P.M and 2:00 P.M.
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4x ≤30 where x is the quantity of muffins b) The greatest amount of muffins you can purchase is 7. c) 2dollars
hope this helps!
