Which of the following sets couldn't represent the sides of a triangle?
1 answer:
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<h3>Answer: Tony is correct</h3>
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Explanation:
There are number of ways to go about this, but let's pick on the sides marked in the diagram below (circled in red and blue). I picked on those sides specifically because they are on either side of the marked angles (A and Q).
They help form the proportion below, in which we'll show later on its a false statement.
AE/PQ = AB/QR
24/(14.5) = 18/(11.5)
24*11.5 = 14.5*18
270 = 261
We arrive at a false statement at the end, so the original proportion is false. Furthermore, it means the figures are <u>not</u> similar.
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We could try the other way around and try to see if
AE/QR = AB/PQ
is true or not
Let's find out
24/(11.5) = 18/(14.5)
24*14.5 = 11.5*18
348 = 207
We see this is false as well. The gap is even bigger than before, so the first scenario was slightly close to having similar polygons. But neither case works perfectly. So that's why we don't have similar polygons and why Tony is correct. It's not enough to look at the angles only when dealing with polygons that have more than 3 sides. If we were just focused on triangles, then Jacenta would be correct.
Answer:
Tony make 4 half-court shots and misses 16 half-court shots.
Step-by-step explanation:
Given:
Points earned for every successful, half-court shots =
Points deducted for missing the shots = or
Total number of shots in the game =
Final points earned by Tony =
According to the question:
Let the number of successful half-court shot be
And the number of shots missed be
So,
In terms of points we can re-write it as:
⇒
⇒
⇒
⇒
⇒
⇒
⇒
⇒
Tony make 'x' shots that is 4 and the number of shot he missed is (20-x) =(20-4)=16