The value of x in given angles is 36°
<h3>What are supplementary angles?</h3>
When the sum of two angles is 180°, then they are said to be supplements of each other.
Given are two angles which are supplements of each other,
Then according to definition of supplementary angles,
m∠A+m∠B = 180°
(2x − 27)°+(3x + 27)° = 180°
2x+3x = 180°
5x = 180°
x = 180°/5
x = 36°
Hence, The value of x in given angles is 36°
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Remember a^(m) x a^(n) = a(m+n) & √a = a^(1/2)
===> x^(1/2 -3/2)+x(1/2 -1/2) ====> x^(-1)+x^(0) (any number Exp 0 =1)
X^(-1) +1 ===> 1/x +1 or (1+x)/x
Answer:
x = 3
y = 5
Step-by-step explanation:
Using theorem of similar triangles, we have,
(6 + x)/6 = (7 + 3.5)/7
(6 + x)/6 = 10.5/7
Cross multiply
7(6 + x) = 10.5(6)
42 + 7x = 63
7x = 63 - 42
7x = 21
x = 21/7
x = 3
Thus:
7.5/y = (7 + 3.5)/7
7.5/y = 10.5/7
Cross multiply
7.5*7 = 10.5*y
52.5 = 10.5*y
Divide both sides by 10.5
52.5/10.5 = y
y = 5
Answer:
effective annual rate is 6.16 %
Step-by-step explanation:
given data
rate = 6 % = 0.06
time 5 year = 10 semi annually
to find out
effective annual rate
solution
we know formula for annual effective rate of interest is
rate of interest = 
-1
put here all value
rate of interest = 
-1
rate of interest = -1
rate of interest = 0.061646
so effective annual rate is 6.16 %
