Answer:
Step-by-step explanation:
we know that
The <u><em>Trapezoid Mid-segment Theorem</em></u> states that: A line connecting the midpoints of the two legs of a trapezoid is parallel to the bases, and its length is equal to half the sum of lengths of the bases
so In this problem
![EF=\frac{1}{2}[AD+BC]](https://tex.z-dn.net/?f=EF%3D%5Cfrac%7B1%7D%7B2%7D%5BAD%2BBC%5D)
substitute the given values
![x=\frac{1}{2}[(x-6)+(2x-3)]](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%5B%28x-6%29%2B%282x-3%29%5D)
![x=\frac{1}{2}[3x-9]](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%5B3x-9%5D)
so
Answer: m = ½
.........................
Answer: B
Step-by-step explanation: Formula of a slope on a table is Δy/Δx, in this case it is 15/5 simplified is 5/1. So the slope is 5/1. The y-intercept is the first number which is -75. So the answer is y=5x-75 which is b, your welcome
Answer:
5 servers and 3 cooks(since a person doesn't exist in fraction)
Step-by-step explanation:
From the question provided above, the manager(who is obviously organizing some kind of party or get-togethers) is expecting a hindered and fifty guests in total .
And it also says that if a server can handle 30 guests and 150,how many of them are need?
Let X be number of servers needed:
X= 150/30 = 5 servers
AND
If a single cook can prepare meals for 60 guests,the number of cooks required to cover for 150 guest will be:
X= 150/60 = 2.5,but since a fraction of a human doesn't exist, we have to say that the manager needs 3 cooks(2 of them will handle a total of 120 guests and the other cook handles the 30 guests)
