Firstly we need to find m<DNY
m<DNY=(60+90)÷2=75
N9w we can find m<KNY
m<KNY+m<DNY=180°(Because these are adjacent corners)
m<KNY+75°=180°
m<KNY=180°-75°
m<KNY=105°
Answer:

Step-by-step explanation:



Hope this helps :)
We have radius r= 6 inches and volume V≥ 324 pi inches∧3 we need H=?
We will use next formula to calculate height.
V= B * H = r∧2 pi * H
r∧2 pi * H ≥ 324 pi => 6∧2 pi * H ≥ 324 pi => 36 pi * H ≥ 324 pi
We will divide the both sides of the inequality with pi and get
36 * H ≥ 324 => H ≥ 324/36 => H ≥ 9 inches
Good luck!!!
Answer:
A___B___C
AC = AB+ BC
3x +12 = ( 14) + (3-2x)
3x + 12 = – 2x + 17
3x + 2x = 17 - 12
5x = 5
x=5/5
x = 1
AC = 3x + 12 = 3(1) + 12 = 3 + 12= 15
I hope I helped you^_^