Answer:
24 square blocks
Step-by-step explanation:
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
You can use elimination by adding the two equations to "cancel out" one of the variables. in this example y will cancel out.
2x + y = 3
+
2x - y = 4
________
2x = 6
x = 3
now that we know our x value, we can plug it into one of the other equations to get our y value.
2(3) + y = 3
6 + y = 3
y = -3
your answer for this system is x=3, y=-3
Answer:
30
Step-by-step explanation:
3x = -21
-21+ -14 = -35
-35 + 5 = 30
