Looks like the labeled angle is bisected, in which case we can apply the angle bisector theorem. For this triangle, it says
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Solve for
:
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
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Then either
or
, but since
is a length, it must be positive. So <em>x</em> = 2.
Answer:
interest = 250
time = 3 years
rate = 2%
we know
P = I*100/(R*T)
= 250*100/6
=4166.67
Step-by-step explanation:
The effective rate is calculated in the following way:
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where r is the effective annual rate, i the interest rate, and n the number of compounding periods per year (for example, 12 for monthly compounding).
our compounding period is 2 since the bank pays us semiannually(two times per year) and our interest rate is 8%
so lets plug in numbers:
To answer this item, we let x be the measure of angle Y. If we say supplement, it is understood that when we sum up the measures of the two angles (angle Y and its supplement) the answer should be 180. Therefore the other angle is 180-x. Going back to the condition given in this item, we will be able to generate an equation,
x = 3(180 - x)
The value of x from the equation is 135. Thus, m∠Y is 135°.
Answer:
15
Step-by-step explanation:
x - y = 10, then x = 10 + y
x + y = 20
substitute for x:
10 + y + y = 20
2y = 10
y = 5
x = 10 + 5 = 15