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:
6 2 6 2 6 6 1
Step-by-step explanation:
just did it on ed.
Answer:
6.00
Step-by-step explanation:
Answer:
A) 0.4255
B) 0.5813
C) 0.5588
D) 0.7241
Step-by-step explanation:
Assuming that the probability for each case is the same, we can calculate the probability by dividing the number of favourable cases with the total amount of cases. You can find the total amount of cases by adding the favourable ones with the non favourable ones, so, the probability of each case would be:
A) 20/(27+20) = 20/47 = 0.4255
B) 25/(18+25) = 25/43 = 0.5813
C) 19/(15+19) = 19/34 = 0.5588
D) 21((8+21) = 21/29 = 0.7241
We could solve for 'x' in the 2nd equation and then plug that into the first equation for 'x' and solve for 'y':
Subtract 6y to both sides:
Divide -2 to both sides:
Plug in 3y + 17 for 'x' in the first equation:
Distribute 5:
Combine like terms:
Subtract 85 to both sides:
Divide 17 to both sides:
This is the y-coordinate of the solution.
