<u>Answer:</u>
36° and 54°
<u>Step-by-step explanation:</u>
We are given that one of the small angles of a right angled triangle is 18 less than twice the measure of the other small angle.
We are to find the measure of both angles.
Assuming 
to be the other small angle, 8 less than twice the measure of the other small angle = 
.
Summing all three angles up ti get:
x = 36°
So other angle will be 
54°.
Answer:
2x^2+13x+20 is the simplified answer
Answer:
41/5
Step-by-step explanation:
First we change the 8 and 1/5% to 8.2%
Write the fraction down as a number over one = 8.2/1
Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,
8.2/1 = (8.2 × 10)
(1 × 10) = 82/10
Reduce the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD (82,10) = 2. So, (82÷2)/(10÷2) = 41/5 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 82/10 is also equal to 81/5 when expressed as a mixed number.
For this case we have that the inverse variation is defined as:
Where:
k: It is the constant of proportionality
According to the statement we have:
We find the constant of proportionality:
Then we find the value of x when 
:
Answer:
, then 
. So
