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Semmy [17]
3 years ago
13

△XYZ maps to △MNO with the transformation (x, y) ---> (5x, 5y).

Mathematics
1 answer:
jeyben [28]3 years ago
5 0

Answer:

The length of MN is 30.

Step-by-step explanation:

It is given that △XYZ maps to △MNO with the transformation

(x,y)\rightarrow (5x,5y)

This rule of transformation represents the dilation with scale factor 5 because the dilation about the origin is defined as

(x,y)\rightarrow (kx,ky)

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,

k=\frac{MN}{XY}

5=\frac{MN}{6}

Multiply both sides by 6.

30=MN

Therefore the length of MN is 30.

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4 0
3 years ago
Tom was driving 20.3 meters per second in a 45 mile per hour zone. Was Tom speeding? Explain using a unit conversion as well as
My name is Ann [436]

Answer:

Tom was speeding.

Step-by-step explanation:

The driving speed of Tom = 20.3 meters per second.

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7 0
3 years ago
Sandy mixed together 9 gallons of one brand of juice and 8 gallons of a second brand of juice, which contains 48 percent real fr
Gekata [30.6K]

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14 %   pure juice comes from  first brand

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3 0
3 years ago
Read 2 more answers
What is the domain of the following exponential function f(x)=(4/5)^x
Norma-Jean [14]

Hello from MrBillDoesMath!

Answer:  The domain is the set of real numbers.

the full real number system

Discussion:

f(x) = (4/5)^x is defined for all x as the underlying function  (4/5)^x is defined for all x. Therefore the domain is the set of real numbers.

Thank you,

MrB


6 0
3 years ago
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