You want to multiply together the number of possible choices for each digit in the code.
0-9 is ten possible numbers, since repetitions are allowed (example code 2,2,2,2) there are ten possible choices per digit in the code.
10*10*10*10 = 10,000 four digit coded possible
Format: y = mx + b
m = slope, b = y intercept
Solution: slope: -2, y intercept: 0
Answer:
∠ Y = ∠ V
∠ Z = ∠ W
![\frac{XY}{XV} =\frac{YZ}{VW} =\frac{XZ}{XW}](https://tex.z-dn.net/?f=%5Cfrac%7BXY%7D%7BXV%7D%20%3D%5Cfrac%7BYZ%7D%7BVW%7D%20%3D%5Cfrac%7BXZ%7D%7BXW%7D)
Step-by-step explanation:
It is given that Δ XYZ is similar to Δ XVW.
Since corresponding angles of similar triangles are equal,
∠ X = ∠ X
∠ Y = ∠ V
∠ Z = ∠ W
Also, since corresponding sides of similar triangles are in proportionate,
![\frac{XY}{XV} =\frac{YZ}{VW} =\frac{XZ}{XW}](https://tex.z-dn.net/?f=%5Cfrac%7BXY%7D%7BXV%7D%20%3D%5Cfrac%7BYZ%7D%7BVW%7D%20%3D%5Cfrac%7BXZ%7D%7BXW%7D)