Answer:
<h2>k = 7</h2>
Step-by-step explanation:

Answer:
r = -20/3
Step-by-step explanation:
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Answer:
10 and 15
Step-by-step explanation:
Let 'x' and 'y' are the numbers we need to find.
x + y = 25 (two numbers whose sum is 25)
(1/x) + (1/y) = 1/6 (the sum of whose reciprocals is 1/6)
The solutions of the this system of equations are the numbers we need to find.
x = 25 - y
1/(25 - y) + 1/y = 1/6 multiply both sides by 6(25-y)y
6y + 6(25-y) = (25-y)y
6y + 150 - 6y = 25y - (y^2)
y^2 - 25y + 150 = 0 quadratic equation has 2 solutions
y1 = 15
y2 = 10
Thus we have
:
First solution: for y = 15, x = 25 - 15 = 10
Second solution: for y = 10, x = 25 - 10 = 15
The first and the second solution are in fact the same one solution we are looking for: the two numbers are 10 and 15 (since the combination 10 and 15 is the same as 15 and 10).
Seven tenths
Forty seven and nine tenths
Eighteen and eight one hundredths
One hundred twenty five and twenty three thousandths
One hundred and twenty six thousandths
One hundred fifty and seventy five thousandths
Answer:
x = 96°
y = 102°
Step-by-step explanation:
Angles on a straight line add up to 180
78 + y = 180
y = 180 - 78
y = 102
Angles in a quadrilateral add up to 360
78 + 90 + x + x = 360
78 + 90 + 2x = 360
168 + 2x = 360
2x = 360 - 168
2x = 192
x = 192/2
x = 96°