S = 9C
first sentence written as an expression
Where S represents the angles supplement
and C represents the angles complement
A + S = 180
definition of supplementary allows me to make this statement Where A is the original angle
A + C = 90
definition of complimentary allows this statement
now add the prior 2 statements together
A + S + A + C = 180 + 90
now simplify
2A + S + C = 270
now replace S with 9C using first statement
2A + 9C + C = 270
now simplify
2A + 10C = 270
now divide both sides by 2
A + 5C = 135
now using the second statement isolate A by adding C to both sides
A = 90 - C
now combine the two prior statements
90 - C + 5C = 135
now simplify
90 + 4C = 135
now subtract 90 from both sides
4C = 45
now divide both sides by 4
C = 11.25
so the complimentary angle is 11.25
now take the third equation and substitute in C
A + 11.25 = 90
now subtract 11.25 from both sides
A = 78.75
so the original angle is 78.75
now use the second equation and substitute in A
78.75 + S = 180
now subtract 78.75 from both sides
S = 101.25
so the suplimentary angle is 101.25
5 + 6 hahahahaha hahhahhahaha
Answer:
Step-by-step explanation:
Let
x------> the number of years
we know that
Solve for x
Answer:
(x, y) = (3, 5/2)
Step-by-step explanation:
I'll solve by elimination here. If you invert the second equation and add it to the first, 2y and -2y would cancel out.
Now just add those from top to bottom.
Nothing else needs to be done for that part. Now, you can pick either equation and use the known value of x to solve for y.
(x, y) = (3, 5/2)
Mes ∠AKG = mes ∠AKD + mes ∠ DKG
133° = mes ∠ AKD + 87°
133° - 87° = mes ∠AKD
∠AKD = 46°
