Answer:
Step-by-step explanation:
The incenter of a triangle can be defined as the intersection of three angle bisectors that bisect all angles of the triangle.
By definition, an angle bisector divides an angle into two equal smaller angles.
Therefore:
What we're given:
The sum of the interior angles of a triangle always add up to be 180 degrees. Since these six angles make up the total sum of the interior angles, we have the following equation:
Substituting given values:
Since ,
43. 125 milliliters
45. 9 tsp
49. 6 tsp
Step-by-step explanation:
For solving, use quadratic formula
Step-by-step explanation:
Using the given formula
I = P × R × t
I = 20 × 5/100 × 2
I = $2
Answer: Use a tree diagram for conditional probability
The first branch lists the elements in the starting field-- how many items or outcomes. Like heads or tails, how many of each color of marbles or socks, etc. The next branch shows the set of outcomes from the first event and what is available for the next event. The branches are labeled with fractions to tell the chances of each outcome.
Step-by-step explanation:
A tree diagram is good for determining probability when there are multiple steps in the "draw" and multiple outcomes-- sometimes chances of event a and b "this <em>and </em>that" or event a or b "this <em>or </em>that"
You use the fractions on each branch to calculate the final outcome. If it's <u>a and b</u>, you multiply the fractions on each "trail" you follow through the branches to get the defined final outcome.
If it is <u>a or b,</u> you add the fractions to get the probability of the defined final outcome.