Answer:
The calculated value is "0.214"
Step-by-step explanation:
Given expression :

solution:

Answer:
∠ B = 45°
Step-by-step explanation:
∠ A and ∠ Bare alternate exterior angles and are congruent , then
5x - 15 = 2x + 21 ( subtract 2x from both sides )
3x - 15 = 21 ( add 15 to both sides )
3x = 36 ( divide both sides by 3 )
x = 12
Then
∠ B = 2x + 21 = 2(12) + 21 = 24 + 21 = 45°
There are 10+14+6=30 total coins in the bag including 10 pennies,14 buckles and 6 dimes
Then,
P(removing a penny after first pick):
10/30 or 1/3
Now, there are only 9 pennies, and total amount of coins decrease by one count which is 29
P(remove a nickel after second pick):
14/29
Now, there are only 28 coins in total left in the box, so
P(removing a dime):
6/28 or 3/14
Lastly, to find the probability or compound event, take:
1/3×14/29×3/14=42/1638
Simplify 42/1638
21/819. As a result, the probability you remove a penny and nickel and a dime in that order is 21/819. Hope it help!
Answer:
40 miles
Step-by-step explanation:
Step one:
given data
let the total distance to be covered by Kasey by the end of the month be x
Required is x
so
60% of x= 24
60/100*x= 24
0.6x= 24
divide both sides by 0.6
x= 24/0.6
x=40 miles