Answer:
△NPK≅△HBG; and △KNP≅△GHB
Explanation:
Using the given congruence statement, we can determine corresponding pieces of the triangles:
P corresponds to B; K corresponds to G; and N corresponds to H.
This means that △NKP≅△HGB, not HBG.
△KPN≅△GBH, not BHG.
△NPK≅△HBG; this is correct.
△KNP≅△GHB; this is correct.
Answer:
144°
Step-by-step explanation:
First, find the area of the circle, with the formula A =
r²
Plug in 10 as the radius, and solve
A =
r²
A =
(10²)
A = 100
Using this, create a proportion that relates the area of the sector to the degree measure of the arc.
Let x represent the degree measure of the arc of the sector:
= 
Cross multiply and solve for x:
100
x = 14400
x = 144
So, the degree measure of the sector arc is 144°
The area of the sector is 86.81π mm²
<u>Explanation:</u>
Given:
Radius of the sector, 25mm
Angle, α = 50°
Area of the sector, A = ?
We know:
Area of the sector = 
On substituting the value, we get:

Therefore, the area of the sector is 86.81π mm²
Answer:
1638
Step-by-step explanation:
3(500)+3(40)+3(6)=1500+120+18=1638