Answer:
Step-by-step explanation:
3) - Let's call the length AD [tex]x[/tex].
- You know that AB=36 and AC=12, therefore you have:
[tex]\frac{x}{12}=\frac{12}{36}[/tex]
- Solve for [tex]x[/tex], then:
[tex]x=\frac{12*12}{36}\\x=4[/tex]
- Then, the answer is the option 4.
4) -Based on the information given in the problem, you can call the length BD [tex]x[/tex], then:
[tex]\frac{x}{6}=\frac{6}{x+5}[/tex]
- Solve for [tex]x[/tex]:
[tex]x(x+5)=6*6\\x^{2}+5x-36=0[/tex]
- By factoring the equation, you obtain:
[tex](x+9)(x-4)=0\\x_1=-9\\x_2=4[/tex]
- Choose the positive value.
- The answer is the option 4.
