Solve for x figures are not necessarily drawn to scale
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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