If the triangles are similar, then the corresponding ratio of their sides have equal ratios. Through ratio and proportion, we would determine the answer.
5/6 = x/9, where x is the length for side PN
Transposing the equation so that x is on the left side:
x = (5/6)*9
x = 7.5
Answer:
what grade is this?
Step-by-step explanation:
Answer:
450 minutes
Step-by-step explanation:
15 + 0.1x = 60
15 - 15 + 0.1x = 60 - 15
0.1x = 45

x = 450
Answer:
x = 65°
Step-by-step explanation:
The interior angle of the triangle and 140° are adjacent and supplementary, thus
interior angle = 180° - 140° = 40°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
105° is an exterior angle of the triangle, thus
x + 40° = 105° ( subtract 40° from both sides )
x = 65°
Answer:
Probability to get tails exactly 8 times or exactly 5 times is 0.29
Step-by-step explanation:
No of ways the coins lands tails exactly 8 times
P(8) = 15C8 ×
× 
No of ways the coin lands tails exactly 5 times
P(5) = 15C5 ×
× 
Probability to get tails exactly 8 times or 5 times
P(8)+P(5) = 15C8 ×
+ 15C5 × 
P =
( 15C8 + 15C5 )
P =
( (
) + (
) )
P =
( 6435 + 3003 )
P =
( 9438)
P =
( 4719)
P = 
P = 0.29