Answer:
x = 22.5 cm
Step-by-step explanation:
In similar triangles, corresponding sides are in same ratio
![\frac{FG}{AB}=\frac{FH}{AC} = \frac{GH}{BC}\\\\\\ \frac{GH}{BC}=\frac{FG}{AB}\\\\\frac{x}{15}=\frac{13.5}{9}\\](https://tex.z-dn.net/?f=%5Cfrac%7BFG%7D%7BAB%7D%3D%5Cfrac%7BFH%7D%7BAC%7D%20%3D%20%5Cfrac%7BGH%7D%7BBC%7D%5C%5C%5C%5C%5C%5C%20%5Cfrac%7BGH%7D%7BBC%7D%3D%5Cfrac%7BFG%7D%7BAB%7D%5C%5C%5C%5C%5Cfrac%7Bx%7D%7B15%7D%3D%5Cfrac%7B13.5%7D%7B9%7D%5C%5C)
![x = \frac{13.5}{9}*15\\\\x = 1.5*15\\\\x = 22.5](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B13.5%7D%7B9%7D%2A15%5C%5C%5C%5Cx%20%3D%201.5%2A15%5C%5C%5C%5Cx%20%3D%2022.5)
Answer:
x=2
Step-by-step explanation:
add 3 to each side to isolate the 3x alone on one side
3x=6/ divide by 3 to isolate and simplify
x=2
Answer:
C(m) = 25 + 6m and m ≥ 0.
Step-by-step explanation:
After joining the moviegoer club, Makayla charged an annual registration fee of $25. but, movie tickets are charged for members at $6.00 per ticket.
Let us assume that Makayla purchased m number of movie tickets in a year since he joined the club then the function that models the total cost for Makayla's movie ticket is given by
C(m) = 25 + 6m
The domain of the function is represented by m ≥ 0. (Answer)
Answer:
<u><em>Answer is below</em></u>
Step-by-step explanation:
<u><em> Divide both sides by 3.</em></u>
![\frac{3x}{3}>\frac{-3}{3} \\x>-1](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7B3%7D%3E%5Cfrac%7B-3%7D%7B3%7D%20%5C%5Cx%3E-1)
You solve for x to get your answer each time. For example, the first one. You would isolate the 4x by moving the 10 to the other side by subtracting 10 from both sides. This will give you 4x = -36. Then you divide both sides by 4 to get x = -9.