Dalton has $44,759 in a savings account that earns 9% annually. The interest is not compounded. How much will he have in 1 year?
1 answer:
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Given,
The diagram of the circle and the central angles is hown in the question.
Required
The value of x.
Here, the angle formed by the chord (2x+1) is on the circle measure 25 degree. The angle formed by the chord x+3 on the center of the circle measure 50 degree.
The angle formed on the center of the circle is equal to the double of angle formed on the circle, then the measure of the chord is equal.
Therefore,
Hence, the value of x is 2.
Check the picture below.
well, it's noteworthy to say that when dropping a perpendicular line from a right angle in a right triangleto the hypotenuse, we'd end up with 3 similar triangles, a Large a Medium and a Small one, all three similar.
3a)
is the Small similar to the Large one? well, let's notice, they both have a 90° angle and also they share the purple one, similar triangles by AA.
3b)
are the Medium and the Large one similar? well, let's notice, just like before, they both have a 90° and they also share the green one, similarity by AA.
3c)
are the Small and Medium similar?
if Large ~ Medium
and
Large ~ Small
then
Medium ~ Small.
