Answer:
∠ Y = ∠ V
∠ Z = ∠ W

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,

We must look at this question in steps
The first half of the journey is travelled at 40 km/h
Half of 100km is 50 km
Using the formula
Distance = Speed x Time
Speed = Distance / Time
Time = Distance / Speed
We can work out the time:
50km / 40km/h = 1.25 hours
Next we look at the second half of the journey
50km at 80km/h
50km / 80km/h = 0.625 hours
Add together both times to work out how long the entire journey took
1.25 + 0.625 = 1.875 hours
Using the Speed formula from before
Speed = 100km / 1.875 =
53 1/3 km/h or 53.3 recurring km/h
Answer:
-7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-(-9))/(2-3)
m=(-2+9)/-1
m=7/-1
m=-7
Answer:

Step-by-step explanation:
By applying geometric mean theorem in the given right angle,

By substituting values in the given ratio,




Exact value of y is
.