Which should come next at the end of this row of letters: a b d g?
2 answers:
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Answer:
B. Angle X is the largest angle.
C. Angle Z is greater than angle Y.
E. Line segment X Z is the shortest side.
Step-by-step explanation:
YZ = 2n, XZ = n - 2, XY = n + 4 and n ≥ 5.
YZ - XZ = 2n - (n - 2) = n + 2. but n ≥ 5, hence YZ - XZ = n + 2 ≥ 7.
YZ > XZ
YZ - XY = 2n - (n + 4) = n - 4. but n ≥ 5, hence YZ - XY = n - 4 ≥ 1
YZ > XY
XY - XZ = n + 4 - (n - 2) = 6: XY > XZ
Therefore:
YZ > XY > XZ
The angles are proportional to their opposite sides, hence:
∠X > ∠Z > ∠Y
A. Line segment XY is the longest side.
This is wrong because YZ is the longest side.
B. Angle X is the largest angle.
This is correct. ∠X is the largest angle because it is opposite to the longest side (YZ)
C. Angle Z is greater than angle Y.
This is correct. ∠Z is opposite to the side XY while ∠Y is opposite to the side XZ
D. Line segment XZ is opposite the largest angle.
This is wrong. ∠X is the largest angle which is opposite to the longest side (YZ)
E. Line segment X Z is the shortest side.
This is correct
Answer:
Step-by-step explanation:
Base 5 uses 0, 1 , 2, 3, 4
When we add 2+ 1 = 3
When we add 4 +3 = 7 = 5 +2 . 5 will be carried as 1
4 + 3= 12
In subtraction, 32 - 4
From 2 we cannot subtract 4. So, borrow 5 from 3. So, 2+5 = 7.
7-4=3
32 -4 = 23
I have attached the sums
