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
Answer:
50 mph
Step-by-step explanation:
80 mph x 4 = 320 miles. so the first car went 320 miles
520 miles apart- 320 = 200 I subtracted the 320 miles so i can figure out how far the other car went.
200 / 4 hours = 50 mph
Answer:
The simplified product, in standard form, has exactly 2 negative terms. The simplified product has 2 terms.
Step-by-step explanation:
(b-2c)(-3b+c)
distribute and you will get
-3b^2+bc+6bc-2c^2
combine like terms
-3b^2+7bc-2c^2
Answer:
The slope would be 2.5
Step-by-step explanation:
Rise over run, pick 2 points 50/20= 2.5
Step-by-step explanation:
X1/3=2
X1=2×3
X1=5
x=5/1