Hello!
Since AOC is a straight line it has an angle of 180
We put the two equations and have them equal 180
6x + 29 + 3x + 124 = 180
Combine like terms
9x + 153 = 180
Subtract 153 from both sides
9x = 27
Divide both sides by 9
x = 3
Now we x into the equation of angle BOC
6(3) + 29 =
Multiply
18 + 29 = 47
The answer is 47°
Hope this helps!
-3 because the center is connected
Answer:
15
Step-by-step explanation:
Opposite sides in a parallelogram are equal.
2x - 5 = x + 10
Subtract x and add 5 on both sides.
2x - x = 10 + 5
Combine like terms.
x = 15
Answer: Then the graph of the function f(x) will change shifting vertically down (because the negative sign in 4) by 4 tons.
Option c. The line will shift vertically down by 4 tons.
Solution:
Total weight of a coal car: f(x)=x+30
How will the graph of this function change if the coal car weight is changed to 26 tons?
The total weight of the coal car would be: g(x)=x+26
f(x)=x+30
30=26+4
f(x)=x+26+4
g(x)=x+26
f(x)=g(x)+4
Subtracting 4 both sides of the equation:
f(x)-4=g(x)+4-4
f(x)-4=g(x)
g(x)=f(x)-4
Then the graph of the function f(x) will change shifting vertically down (because the negative sign in 4) by 4 tons.
