which description from the list below accurately describe the relationship between QRS and TUV? check all that apply
1 answer:
Triangle QRS was translated to form triangle TUV, hence both triangles have the same shape, same size and are congruent.
<h3>What is transformation?</h3>Transformation is the movement of a point from its initial location to a new location. Types of transformations are<em> reflection, translation, rotation and dilation.</em>
Rigid transformation preserves the shape and size of the figure. <em>Reflection, translation, rotation</em> are rigid transformations.
Triangle QRS was translated to form triangle TUV, hence both triangles have the same shape, same size and are congruent.
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Answer:
(a)
(b) determinant of the matrix is: -1
(c) number of muffins purchased=18
number of beverages purchased=14.
Step-by-step explanation:
(a) let us assume that the number of muffins purchased=x
number of beverage purchased=y
as a class purchased a total of 32 items that means x+y=32
amount spent=$87.50 that means 3.50x+1.75y=87.50
which could also be written as: 2x+y=50
now in matrix form it could be represented as:
(b) the determinant of the matrix is given by
hence the determinant of the matrix is: -1
(c) now on solving the matrix we need to apply row operations in it to make it a upper triangular matrix so that it would be easy for us to calculate the value of x and y.
we multiply row 1 by 2 and subtract row 2 from it to get
on using the backward substitution in the matrix we get y=14
and x=18
Hence, number of muffins purchased=18
number of beverages purchased=14.