Step-by-step explanation:
< AEB + < BEC = 180° {BEING LINEAR PAIR }
26° + < BEC = 180°
< BEC = 180° - 26°
< BEC = 154°
ARC BC = < BEC ( relation between arc and central angle)
Arc BC = 154°
Hope it will help :)
Answer:
C) x = -
2 ± 2
7
3
Step-by-step explanation:
Problem
Determine the functions value when x= -1?
a. g(-1) = -3
b. g(-1) = 0
c. g(-1) = 1
d. g(-1) = 27
Solution
For this case we just need to find the value of g when x= -1 and if we look at the table we got:
g(-1)= (-1)^3 + 6(-1)^2 +12(-1) +8
g(-1)= -1 +6 -12+8 = 5-12+8= 1
And then the solution for this case would be:
c. g(-1) = 1
Define your variables:
Q: number of quarters
D: number of dimes
Next, create your equations
Q = 2D-4
25Q+10D=200
Because one variable (Q) is already written in terms of the other variable, D, you can already start solving with substitution.
25(2D-4)+10D=200
50D-100+10D=200
60D=300
D=5
Substitute D back into the other equation to find Q.
Q=2D-4
Q=2(5)-4
Q=6
Substitute D and Q into the second equation to check.
25Q+10D=200
25(6)+10(5)=200
150+50=200
This works, so the answer is right! Bill has 6 quarters and 5 dimes.
