Measure of Angle 1 is 5x. Measure of Angle 3 is x-24. What is the measure of Angle 1?
1 answer:
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Answer:
AH = 1 or 4
CH = 4 or 1
Step-by-step explanation:
An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...
AH/BH = BH/CH
AH·CH = BH²
The problem statement tells us AH + CH = AC = 5, so we can write
AH·(5 -AH) = BH²
AH·(5 -AH) = 2² = 4
This gives us the quadratic ...
AH² -5AH +4 = 0 . . . . in standard form
(AH -4)(AH -1) = 0 . . . . factored
This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.
Answer:
Answer is: $148,809.52
Step-by-step explanation:
Susan has purchased a whole life policy with a death benefit of $200,000.
Assuming that she dies in 10 years.
Rate = 3% or 0.03
Future value after 10 years = =
= 1.344
Purchasing power of proceeds = = $148,809.52