Answer:
10.2
Step-by-step explanation:
Length of arc=(2*pi*r)*(theta/360)
Length of arc=(2*pi*3)*(195/360)=10.2
Answer:
12
Step-by-step explanation:
2/3 x + x = 20
2/3 x + 3/3x = 20
5/3 x = 20 ... times 3/5 both sides
x = 12
check: 2/3 x 12 + 12 = 8 + 12 = 20
Answer:
1.5 hours
Step-by-step explanation:
1/2 + 1/2 + 1/2 =1.5
Answer:
1. The right triangles pass the AA similarity congruence theorem.
2. s/q
Step-by-step explanation:
They are similar since they pass the AA( Angle-Angle) similarity theorem.
Similar triangles have corresponding proportional sides so side z corresponds with side s and side x corresponds with q so we would represent that as
s/q
15/6=2.5 which is the scale factor since they are similar triangles. We divide each side of the large triangle by 2.5 to get the sides for the small triangle since they are similar. 20/2.5=8cm
25/2.5=10cm
For the second problem, you put 15/6 and set in equal to x/8 when you cross multiply you get 6x=120 then you divide x=20
For the last problem, you divide 43,75 by 5 then multiply it by 400 to get the kiloliters which equals 3,500.