The first two numbers are rational, because they are rational numbers with a finite number of decimal digits.
The third number is also rational, because , which is integer, and thus rational as well.
We can't say that the fourth number is rational, because we don't know how the number continues. A decimal number is rational if its decimal digits are finitely many, or if they show some periodicity. This doesn't seem the case, so the number may be irrational.
The last number is rational, because it is a periodic decimal number, and as such it admits a fraction that generates it.
Answer:
The length of MN is 30.
Step-by-step explanation:
It is given that △XYZ maps to △MNO with the transformation
This rule of transformation represents the dilation with scale factor 5 because the dilation about the origin is defined as
where, k is scale factor.
In dilation, the image and preimage are similar and scale factor is the ratio of corresponding side of image and preimage.
In △XYZ and △MNO,
Multiply both sides by 6.
Therefore the length of MN is 30.