Im gonna say c idk if its right but its worth a shot
Answer:
In ΔECB ,
∠ECD = ∠EBC + ∠BEC (∵ Exterior Angle Property of a triangle)
⇒ ∠BEC = ∠ECD - ∠EBC ................. eqn.1
In ΔABC ,
∠ACD = ∠BAC + ∠ABC (∵ Exterior Angle Property of a triangle )
⇒ 2∠ECD = ∠BAC + 2∠EBC
⇒ ∠BAC = 2∠ECD - 2∠EBC = 2(∠ECD - ∠EBC)
( Putting eqn.1 here )
⇒ ∠BAC = 2∠BEC (∵∠BEC = ∠ECD - ∠EBC)
Answer:
460 ft^2 of carpet will be replaced
Step-by-step explanation:
You need to find the area of the room and then take away the area of the six bookcases
<u>Area of the room</u>
20*20=400ft^2
35-20=15ft
(15*20)/2=150ft^2
400+150=550ft^2 total room area
<u>Area of bookcases</u>
2.5*6*6=90ft^2 total bookcase area
<u>room area - bookcase area = carpet area</u>
550-90=460ft^2
Good evening ,
<u><em>Answer:</em></u>
<h2>the regular price of the item is $80.</h2>
<u><em>Step-by-step explanation:</em></u>
Let p represent the regular price of the item.
p - p×(40/100) = 48 ⇌ p×(1 - 40/100) = 48 ⇌ p×(100/100 - 40/100) = 48
⇌ p×(60/100) = 48 ⇌ p = (480×100)/60 = 48 000/60 = 80.
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:)