Answer:
x = 5.3 units
Step-by-step explanation:
The given triangle has adjacent sides as 6 and 9 units. It has an angle bisector, which divides the angle between the adjacent sides, and opposite side in lengths x and 8 units.
<em>An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.</em>
This means,


Thus, the value of x is 5.3 units.
Answer: a. Lin's tank hold 20 cups and Elena's tank hold 20 gallons; I know this because gallons are greater than cups.
Step-by-step explanation:
Gallons are greater than cups so the fish tank that will hold 20 gallons would have to be the bigger one which in this case is Elena's.
With cups being lesser in quantity than gallons, the fish tank that will hold 20 cups of water will definitely have to be the smaller one which in the case is Lina's.
Answer:
$255.00
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 300 × 15/100
Discount = 300 x 0.15
You save = $45.00
Final Price = Original Price - Discount
Final Price = 300 - 45
Final Price = $255.00
Answer: 
Step-by-step explanation:
Given : In 1996, the General Social Survey included a question that asked participants if they had ever volunteered for the environment.
This information is provided below divided by political party.
Democrat Independent Republican Total
yes 116 58 132 306
no 26 4 26 56
Total 142 62 158 362
Total participants= 362
The number of Democrats =142
So , P(Democrats)= 
The number of Democrats and volunteered for the environment = 116
P(Democrats and volunteered) = 
Now , by using conditional probability formula , the conditional probability of Democrats who volunteered for the environment :-
P(volunteered | Democrats ) = 

Hence , the conditional proportion of Democrats who volunteered for the environment 