Given the triangle
PQR
with points
P(8,0)
Q(6,2)
R(-2,-4)
And the triangle
P'Q'R'
with points
P'(4,0)
Q'(3,1)
R'(-1,-2)
Part A. Scale factor
Using the vertex
P( 8, 0)
P'(4,0)
the dilatation factor is given by
The triangle has a dilatation factor of 1/2
Part B:
P''Q''R'' after using P'Q'R' reflected about the y axis
to make a reflection over the y axis
coordinates (x,y) turn into coordinates (-x,y)
as follows
Then triangle P''Q''R'' has coordinates
P''(-4,0)
Q''(-3,1)
R''(1,-2)
Part C:
PQR is congruent to P''Q''R''?
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
Then the triangles are not congruent
Answer:
A
Step-by-step explanation:
Revenues and expenses are closed every year so that the profit or loss can be determined for the yearly period.
Answer:
$8.95
Step-by-step explanation:
8 + 6 + 7 = 21
$187.95 divided by 21 = $8.95
Answer:
yes
Step-by-step explanation:
2 sqrt(3) * sqrt(12)
Rewriting sqrt(12) as sqrt(4 *3)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(12) = sqrt(4) sqrt(3) = 2 sqrt(3)
2 sqrt(3) * sqrt(12) = 2 sqrt(3) * 2 sqrt(3)
=4 * (sqrt(3) )^3
= 4 *3
=12
Kevin will be left with 2 ounces of mixed nuts in the can
Step-by-step explanation:
Given
Total nuts = 16 ounces
As Kevin gave 1/2 of the nuts to his sister, he will be left with
He is left with 8 ounces of mixed nuts
The he eats 3/4 of the remaining
so he is left with 8 - 6 = 2 ounces of mixed nuts
Hence
Kevin will be left with 2 ounces of mixed nuts in the can
Keywords: Fractions, operations on fractions
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