Answer:
Step-by-step explanation:
From the given picture,
∠ABE = ∠DEF = 90° [Since, AB and DE are perpendicular to DE]
m∠ECA = m∠BFD [Given]
m∠ECA + m∠ACB = 180° [Liner pair of angles]
m∠BFD + m∠DFE = 180° [Liner pair of angles]
m∠ACB + m∠ECA = m∠BFD + m∠DFE [Transitive property]
m∠ACB = m∠DEF [Since, m∠ECA = m∠BFD]
Therefore, ΔABC ≅ ΔDEF [By AA property of similarity]
Answer: He earned 0.831% interest in total.
Step-by-step explanation:
Given: Shawn earned $2.77 per day for three days as interest on his $1,000.00 investment.
Interest per day = $2.77
Interest in 3 days = 3 x ($2.77)
= $8.31
Invested amount= $1000
Required percentage of earnings = 

Hence, he earned 0.831% interest in total.
Answer:
78,000
Explanation:
8,000 is in the thousands place, the 4 in the hundreds place is too low to round it up to 9,000, so it gets rounded down to 78,000.
Factor by grouping.
(7x+2)(x-2) I think not sure
Answer:
16 shirts and 48 ties
Step-by-step explanation:
you start with 64 and divide it by 4 i got four cause it says that James had THREE times as many ties as shirts leaving him with leaving him with 3 groups of ties and 1 group of shirts . dividing 64 by 4 leaves you with 16 which is the amount of shirts he has and then you would multiply 16 by 3 to get the amount of ties he has.