ANSWER

and

EXPLANATION
Since corresponding angles are equal,

Alternate angles are also equal, therefore,

Equation (2) minus equation (1) gives,


We put
in to equation (1)



Answer:
Hence the carnival game gives you better chance of winning.
Step-by-step explanation:
Let the event of win be given by 1/10 in the game of rifle then the event of loose is given by 9/10
the
Odds in favor of a game are given by = P(Event)/ 1- P(Event)
Odds in favor of winning a rifle are given by = 1/10/ 1- 1/10
=1/10/9/10
=1/9
= 0.111
The probability of winning aa rifle game is 0.111
The probability of winning the carnival game is 0.15
Comparing the two probabilities 0.111:0.15
The probability of winning carnival game is greater than winning a rifle game
0.15>0.11
Hence the carnival game gives you better chance of winning.
Answer:
x = 2√7
using Pythagoras theorem:
For the bottom part:
The distance traveled is the hypotenuse of the right triangle formed with the ground.
sinα=400/d
d=400/sinα, we are told α=13° so
d=400/sin13 ft
d≈1778ft (to nearest whole foot)
C because there are 10 cents in a dime, and 5 cents in a nickel