The answer is 52
x - the number of students in a bus
4 + 9x = 472
9x = 472 - 4
9x = 468
x = 468 / 9
x = 52
Answer: 82 ft squared
Step-by-step explanation: The surface area is 2( wl + hl + hw)
so the width is 2 the length is 7 and the height is 3
so it's 2( 14 + 21 + 6) = 2(41) = 82
Answer:
The rate of descent is
Step-by-step explanation:
we know that
The formula to calculate the rate or slope between two points is equal to
Let
x------> the time in minutes
y----> the elevation in feet
we have
Substitute the values
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
18,055
-
3,138
———-
14,927
14,927
+
18,055
———-
32,982