Answer: Choice C) AA similarity
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We are given that angle ABE = angle ECD since they are both right angles (square marker)
Angle AEB = angle CED as they are vertical angles
we have two pairs of congruent angles, leading us to be able to use the AA (angle angle) similarity theorem
Answer attached below. Hope it helps
40 pieces
8/1 : 1/5 = 8/1*5/1 = 40/1 = 40
Another method :
1/5 = 0.2
8/0.2 = 40
Answer:
24 years old
Step-by-step explanation:
Let the age of Blake be x and the age of Heather by y then...
x=7+y
7+x+7+y=55
Notice we are adding additional 7s because the question states "in 7 years"
Simplify the second equation...
7+x+7+y=55
14+x+y=55
Subtract 21 from both sides
x+y=41
Solve using substitution (substitute 7+y for x since x = 7+y)
7+y+y=41
Combine like terms
2y+7=41
Subtract 7 from both sides
2y=34
Divide both sides by 2
y=17
x=7+17=24
Blake is 24 years old now
