Answer:
Which statements are true about the figure? Select two options.
Line JM intersects line GK at point N.
Horizontal line G K intersects vertical line J M at point N, forming a right angle. A line extends from point N to L, down and to the right.
Answer:
The function of g(x) = 5x + 2
Step-by-step explanation:
Let us use the composite function to solve the question
∵ f(x) = 2x - 1
∵ f(g(x)) = 10x + 3
→ f(g(x)) means substitute x in f(x) by g(x)
∴ f(g(x)) = 2[g(x)] - 1
→ Equate the two right sides of f(g(x))
∴ 2[g(x)] - 1 = 10x + 3
→ Add 1 to both sides
∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1
∴ 2[g(x)] = 10x + 4
→ Divide each term into both sides by 2
∵
=
+ 
∴ g(x) = 5x + 2
∴ The function of g(x) = 5x + 2
Answer:
c(t) = 25 +12 * t
where t is the number of shirts
Step-by-step explanation:
The total cost for the shirts is the flat fee plus the cost per shirt times 150 shirts
total = fee + cost per shirt* shirts
1825 = 25 +c*150
where c is the cost per shirt
We need to determine the cost per shirt by subtracting 25 from each side
1825-25 = 150c
1800 =150c
Divide by 150 on each side
1800/150 =150c/150
12 =c
Each shirt costs 12 dollars
We want to make the function in terms of cost per shirt
c(t) = 25 +12 * t
where t is the number of shirts
60 degrees because vertical angles are congruent if you move line y 5 degrees clockwise then you are adding 5+55=60 and since 1 and 3are congruent 3=60 degrees