what is the answer plz tell
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Answer:
x = 15, y = 8, z = 9, p = 8, q = 8 and r = 17
Step-by-step explanation:
Given question:
To find values of x, y, z, p, q and r
Euler's Formula:
Face + Vertices = Edges + 2
Solution:
1) Edge = x
So,
7 + 10 = x + 2
=> x = 17 - 2
=> x = 15
2) Face = y
So,
y + 12 = 18 + 2
=> y = 20 - 12
=> y = 8
3) Vertices = z
So,
9 + z = 16 + 2
=> z = 18 - 9
=> z = 9
4) Vertices = p
So,
6 + p = 12 + 2
=> p = 14 - 6
=> p = 8
5) Face = q
So,
q + 6 = 12 + 2
=> q = 14 - 6
=> q = 8
6) Edge = r
So,
8 + 11 = r + 2
=> r = 19 - 2
=> r = 17
Result:
Hence we got,
x = 15, y = 8, z = 9, p = 8, q = 8 and r = 17 (Ans)
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