For #32,
P=2L+2W
Subtract 2W from both sides, and swap left and right
2L = P-2W
Divide by 2
2L/2=(P-2W)/2
L = P/2 - 2W/2
L=P/2 - W
For #35
Most of the expenses are in fractions (of the original amount, A), so they can be added:
A/4 + A/5 + 2A/5 + 750 = A
add the fractions, with a common denominator of 20,
5A/20 + 4A/20 + 8A/20 +750 = A
(5A+4A+8A)/20 +750 = A
17A/20 + 750 = A
Now subtract 17A/20 from both sides and swap left and right
A - 17A/20 = 750
(3/20)A = 750
Multiply both sides by 20/3 (to make one unit of A on the left)
(3/20)*(20/3) A = 750*20/3
A =250*20=5000
The first integer is going to be x and the second one is going to be y.
We now turn the clues into equations:
x = y - 5
xy = 84
The substitution method:
(y - 5)y = 84
y^2 - 5y - 84 = 0
(y+7)(y-12) = 0
y = -7, 12.
If y = -7, then x = -12.
If y = 12, then x = 7
Answer:
Step-by-step explanation:
Equation of the line CD is given as
Slope of the line CD = -2
Slope of the line parallel to CD = -2
Equation of the line parallel to CD is given by
But this line passes through (4,5)
Substituting the values in the equation:
=>
So the overall equation of the parallel line is given by
Answer:
if two parallel lines are cut by a transversal, then alternate interior angles are <em>congruent</em><em> </em>
0.00003471
Step-by-step explanation: