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
3857/10000 I can’t simply. But that’s what Siri gave me
Answer:
p = 1.2
Step-by-step explanation:
Bring 3.9 to the other side of the equation.
-10.9p = -13.08
p = 1.2
Answer:
det(A)=-det(B)
Step-by-step explanation:
We have two matrices A, and B.
Matrix B is obtained by swapping rows 1 and 3 of matrix A.
Whenever we swap rows in matrices, the determinants does not change but the sign changes.
Therefore
det(A)=-det(B)
Also no two rows of of both matrices are the same, therefore
det(A)≠0, and det(B)≠0
Answer:
C
Step-by-step explanation:
Write the expression out
factor it
cancel out all everything that is the same and appears on both the top and the bottom
Cancel out:
(x+1)
(x)
(x)
leaves you with
3 goes into 6 '2' times so the 3 in the numerator cancels out too. The 6 in the denominator turns into a 2
This leaves you with the final answer of
