Answer:
35 degrees
Step-by-step explanation:
The angles in a triangle and a straight line add up to 180 degrees.
So adding the angles together:
BCD + BCA = 180
75 + BCA = 180
BCA = 115
Then,
BCA + BAC + ABC = 180
115 + 40 + ABC = 180
Therefore,
ABC = 35 degrees
Answer:
7/2 and 3
Step-by-step explanation:
using quadratic formula
{-(-13) +- √(-13)^2 - 4(2)(21) } /2(2)
-(-13)+1 / 4 = 7/2
-(-13)-1 / 4 = 3
Answer:
a(n)=60-30n
Step-by-step explanation:
Equation to use:
a(n) = a(1) + d(n-1)
where a(1) is the first term, d is the common difference between terms, and n is the nth term you are trying to find.
In this case, a(1) is 30, d is -30, and n is just n.
If you plug that into the equation and use the distributive property, you would get: a(n) = 30 -30n + 30.
Adding the two 30's gets you: a(n) = 60 - 30n, which is the solution.
Answer:
−7z/2
Step-by-step explanation: