Question 1
There are 5 letters (B, O, K, E, R) and there is a total of 10 letters to make up the word.
There are

ways of arranging the letters, which equal to 210 ways
Question 2
There are seven swimmers in total.
There are

ways of choosing the first winner, which is 7 ways
There are

ways of choosing the second winner, which is 6 ways
There are

ways of choosing the third winner, which is 5 ways
There are 7×6×5=210 ways of choosing first, second, and third winner
Question 3
The probability of eating an orange and a red candy is

×

, which equals to

The probability of eating two green candies is

×

which equals to
Answer:
y = 5/7 x - 6
Step-by-step explanation:
For two lines to be perpendicular, the product of their slope must be -1
The slope of the given function is -7/5
Let the slope of the required function be m
m * -7/5 = -1
7/5 m = 1
7 = 5m
m = 5/7
The slope of the line perpendicular to the line is 5/7
The required equation (using any value of the y-intercept) is expressed as;
y = 5/7 x - 6
Note that the y-intercept value was assumed and any value can be used
Answer:
1/6
Step-by-step explanation:
The slope is the number in front of the x.
Answer:
∠APC ≅ ∠DPB angles adjacent to the same angle are congruent to each other.
Explanation:
Because they share an angle created by P, they are adjacent.
I hope this helped :)