Respuesta :

Answer:

x = 18

Step-by-step explanation:

Since these triangles are similar, we can set up the following proportion:

[tex]\frac{8+12}{12} = \frac{30}{x}[/tex]

[tex]\frac{20}{12} = \frac{30}{x}[/tex]

Cross multiply:

20x = 360

Divide:

x = 18

Check our work:

We can check our work by plugging 18 back into the proportion and seeing if it makes sense:

[tex]\frac{20}{12} = \frac{30}{18}\\\\\frac{20}{12} = 1\frac{2}{3}\\\\\frac{30}{18}= 1\frac{2}{3}[/tex]

It works ✓

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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