Solve for x.
A) 4
B) 6
C) 3
D) 5

Answer:
C
Step-by-step explanation:
By the side splitter theorem,
[tex]\frac{x}{15}=\frac{2}{10} \\ \\ x=3[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textbf{E}\frak{quation:}[/tex]
[tex]\mathsf{\dfrac{x}{15} = \dfrac{2}{10}}[/tex]
[tex]\large\textbf{C}\frak{ross\ multipl\mathsf{y}\ the\ numbers }[/tex]
[tex]\mathsf{x \times 10 = 2 \times 15}[/tex]
[tex]\mathsf{ 10 \times x= 2 \times 15}[/tex]
[tex]\large\textbf{S}\frak{implif\mathsf y\ it:}[/tex]
[tex]\mathsf{10x = 30}[/tex]
[tex]\large\textbf{D}\frak{ivide\ b\mathsf{y}\ \mathsf{10}}[/tex]
[tex]\mathsf{\dfrac{10x}{10} = \dfrac{30}{10}}[/tex]
[tex]\large\textbf{S}\frak{implif\mathsf y\ it:}[/tex]
[tex]\mathsf{x = \dfrac{30}{10}}[/tex]
[tex]\mathsf{x = 3}[/tex]
[tex]\huge\boxed{\textbf T\frak{herefore, \textsf your\ ans\textsf wer\ should\ be: }}[/tex]
[tex]\huge\boxed{\boxed{\mathsf x = \frak{3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]