Answer:
Step-by-step explanation:
The triangles are congruent when corresponding sides are congruent.
__
ΔFGH ≅ ΔABC means corresponding sides are ...
(GH, BC) = (V, 16)
(HF, CA) = (48, W)
Corresponding sides being congruent means ...
V = 16
W = 48
Given:
The scale of a map is
.
The distance between two buildings is 60 miles.
To find:
The distance between the given building on the map.
Solution:
We have,

It means, 80 miles in real life =
on the map.
1 mile in real life =
on the map.
60 mile in real life =
on the map.
=
on the map.
=
on the map.
Therefore, the buildings are
apart on the map.
Answer:
C. 3/2x
Step-by-step explanation:
Firstly, we know that the slopes are the same because parallel lines have the same slope. Then we can find the y-intercept by using the slope and point in slope-intercept form.
y = mx + b ---> plug in known values
3 = (3/2)(2) + b ---> Multiply
3 = 3 + b ---> Subtract 3 from both sides.
0 = b
Since the intercept is 0, you will not see a number after the slope and x.
A. Yes
B. Because the three inside angles of both triangles would be identical.
C. Set up a ratio:
121/22 = AB/30
Solve for AB:
AB = (121 * 30) / 22
AB = 3630 / 22
AB = 165 ft.
The depth of a river changes after a heavy rainstorm. Its depth, in feet, is modeled as a function of time, in hours
y is the depth in feet and x is the time in hours
From the table we can see that
In 9 hours, the depth is 18 feet
In 18 hours , the depth is 21 feet
(9,18 ) and (18,21)
Average rate of change = 
= 
= 
= 
the average rate of change for the depth of the river is
feet per hour