Answer:
x=2
z=80
Step-by-step explanation:
Since (7x+66) and (11x+78) are a linear pair, their measures are supplementary and therefore add up to 180 degrees. z and (7x+66) are also vertical angles, meaning that they are equal.
7x+66+11x+78=180
18x+144=180
18x=36
x=2
z=7x+66=7(2)+66=14+66=80
Hope this helps!
Answer:
It would end at 9:38
Step-by-step explanation:
but obviously it is not one of the answer choices, so I would go with 9:42
Answer:
11/19
Step-by-step explanation:
Firstly, we need to know the total number of instructors. This is equal to 7+5+4+3 = 19 instructors.
The probability of selecting a science instructor is 4/19
The probability of selecting a math instructor is 7/19
The probability of selecting either a science or a maths instructor is 4/19 + 7/19 = 11/19
There are a few ways you can go about solving this question. One way is to use the given information to find how many tons of flour can be processed in one hour. If 27 tons can be processed in 3 hours, we can do 27 divided by 3 to find that 9 tons of flour can be processed per hour. Then, if we want to see how many tons of flour can be processed in 8 hours, we can multiply 9 tons by 8 hours to get a total of 72 tons of flour.
I hope this helps.