Ratio of dog bark is 4:5
Multiply that by 20 each side
Ratio is now 80:100
So 80%
If they walk past 45 time you just have to multiply the ratio 4:5 by 9
36:45
So the dog would bark 36 times
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:
x = 25
Step-by-step explanation:
120 = 70 + 2x
120 - 70 = (70 - 70) + 2x
50 = 2x
50/2 = 2x/2
x = 25
Answer:
The Answer is 129
Step-by-step explanation:
We substitute x + 3 for X in F(x):
f(g(x)) = (x + 3)^3 +4
f(g(2)) = (2 + 3)^3 + 4
=125 + 4
=129
Vertical angles are where the top equals the bottom or the left equals the right angle. So we would do:
8x - 13 = 5x + 8
And then substitute.
3x = 21
x = 7