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.
Noce
Step by step solution
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Answer:
Hi!
Around 2208.97 dollars
Step-by-step explanation:
A=P(1+r/n)^nt This is the compound interest rate equation.
According to the problem, Principal is 2000 with annual rate of 2.5%, it was being compounded semiannually(twice a year).
Thus,
P=2000. r/n=2.5%/2 nt=2*4, 8
A=2000(1+0.0125)^8
A=2208.97
To find how much is 48% of 50:
(48 x 50) / 100
2,400 / 100
24 goals where scored by Eileen.
Hope it helped,
Happy homework/ study/ exam!