Find the missing side length in the image attached.
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Answer: 15
Step-by-step explanation:
Set up the proportion as follows:
[tex]\dfrac{18}{10}=\dfrac{12+x}{x}\\\\\\18x=10(12+x)\\\\\\18x=120+10x\\\\\\8x=120\\\\\\x=\dfrac{120}{8}\\\\\\x=\large\boxed{15}[/tex]
Answer:
[tex]\boxed{ 15}[/tex]
Step-by-step explanation:
→ We know that on the right side the length of the 2 sides is 18 and one of them is 10 so,
18 - 10 = 8cm is the length of the line above 10cm
→ Now we use scale factor enlargement, we can see that opposite 12 is 8 so the multiplier that was used to get from 12 to 8 is,
12 ÷ 8 = 1.5
→ Now we know the multiplier is 1.5 and we need to find the side opposite 10 so we multiply 1.5 by 10 to get,
1.5 × 10 = 15