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.
Answer:
Option A.
Step-by-step explanation:
The given system of equations is
If a graph represents a system of equations which has two equation, then the intersection point of two curves is the solution of that system of equations.
It is given that, the graph of both lines intersect at (2, 3) on a coordinate plane.
Therefore, the solution of given system of equation is (2,3).
Hence, the correct option is A.
Answer:
8.33 grams of fat
Step-by-step explanation:
One serving of the milk contains 2.5 grams of fat.
2% milk has 70% less fat than whole milk.
This means 2% milk has 30% of the fat that whole milk has.
Let W = amount of fat in whole milk
30% of the fat that whole milk has
=30% × w
=30/100×w
=0.30×w
=0.30w
How many grams of fat are in an equivalent gram of whole milk
2.5g=0.30w
w=2.5g/0.30
=8.33 grams of fat
The graph in the bottom left is correct
Answer:
Step-by-step explanation:
arranging in ascending order
45,57,70,72,78
number of terms=5
median=(5+1)/2=3rd
or median =70