Remark
There is a very quick way to do this. Scan the numbers. You want 75 to be the mean, so make it so. Then figure out how many up or down you go from 75. I'll make a list of the givens.
72 - 3 72 is three down from 75 so call it - 3
75 0 That is your desired average so it adds nothing to the score.
74 -1 It is one down from 75, so call it -1
76 +1 It is one up from 75
76 +1 it is one up from 75
75 adds 0.
-3 - 1 + 1 + 1 = - 2
That comes - 2/7 which means that you need a score just under 75. So 75 will give you the right average of 75
Answer B <<<<<
Answer:
Box B i think.
Step-by-step explanation:
I did this to get 47.5 as the answer not 47 im not sure why but i did (61-7+7×1/2)+17 using the PEMDAS please excuse my dear aunt sally
parenthesis exponents multiply divide add subtract
Answer: Phillip is correct. The triangles are <u>not </u>congruent.
How do we know this? Because triangle ABC has the 15 inch side between the two angles 50 and 60 degrees. The other triangle must have the same set up (just with different letters XYZ). This isn't the case. The 15 inch side for triangle XYZ is between the 50 and 70 degree angle.
This mismatch means we cannot use the "S" in the ASA or AAS simply because we don't have a proper corresponding pair of sides. If we knew AB, BC, XZ or YZ, then we might be able to use ASA or AAS.
At this point, there isn't enough information. So that means John and Mary are incorrect, leaving Phillip to be correct by default.
Note: Phillip may be wrong and the triangles could be congruent, but again, we don't have enough info. If there was an answer choice simply saying "there isn't enough info to say either if the triangles are congruent or not", then this would be the best answer. Unfortunately, it looks like this answer is missing. So what I bolded above is the next best thing.