Applying the vertical angle theorem, the measure of the missing angles are:
e = 31
f = 72
d = 77
<h3>What is the Vertical Angle Theorem?</h3>
The vertical angles theorem states that two angles that are vertically opposite to each other have equal measures.
Angle e and 31 degrees are vertical angles. Therefore, based on the vertical angles theorem,
e = 31 degrees.
Also, d = 77 degrees [vertical angles theorem].
e + 77 + f = 180 degrees [straight line angles have a sum of 180 degrees].
Substitute the value of e into the equation
31 + 77 + f = 180
108 + f = 180
Subtract 108 from both sides
108 + f - 108 = 180 - 108
f = 72 degrees.
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Annual rate: 500*0.07 = 35
Year 1: 35
Year 2: 35
Year 3: 35
Year 4: 35
Year 5: 35+500=535
Total=675
Compounded annually
Year 1: 500*1.05=525
Year 2: 525*1.05=551.25
Year 3: 551.25*1.05=578.8125=578.81
Year 4: 578.8125*1.05=607.753125=607.75
Year 5: 607.753125*1.05=638.14
Answer:
i’m pretty sure the first one is none of the above, the second is whole i’m pretty sure
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
plug in 0 for x in the equation and solve
-2 to 0 is 4 because -2 × -2 is 4
