In the diagram, NP=8
inches, and LR=20
inches. What is the diameter of the bottom layer of the cake?
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Answered by
4
Answer:
hi
Step-by-step explanation:
where is diagram dear
Answered by
18
Given :- In the diagram, NP = 8 inches, and LR = 20 inches. What is the diameter of the bottom layer of the cake ?
Solution :-
we know that,
- Trapezoid mid-segment theorem :- The theorem states that the length of the midsegment of a trapezoid is half of the sum of the length of the bases.
so, In Trapezoid NPRL we have,
→ MQ = Mid - segment .
→ NP = 8 inches .
→ LR = 20 inches.
then,
→ MQ = (1/2)(NP + LR) { Trapezoid mid-segment theorem .}
→ MQ = (1/2)(8 + 20)
→ MQ = (1/2) * 28
→ MQ = 14 inches.
therefore , we can conclude that,
- NP + 6 = 8 + 6 = 14 inches = MQ .
- MQ + 6 = 14 + 6 = 20 inches = LR .
- LR + 6 = 20 + 6 = 26 inches = KS.
Hence, the diameter of the bottom layer of the cake is 26 inches.
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