The answer is given in the file attached
angle addition postulate:
m∠B = m∠1 + m∠3
m∠1 = m∠B - m∠3
Answer: a) k=8
b) The area of the addition =
The area of the entire patio after addition 
Step-by-step explanation:
Given: The area of the patio before addition = 50 square feet
The area of the addition portion is given by 
We can see that dimension of the total portion is 
therefore, the area of the patio with the addition portion = 
According to the question we have,

Therefore, The area of the addition =
The area of the entire patio after addition = 
I think it's equal to 1 because every expression with the exponent of zero is equal to 1, idk for sure though
Answer:
The number of students whom should be admitted is 377.
Step-by-step explanation:
Given:
College has space for 580 students.
The college estimates that 65% of the students who are admitted will attend the college.
Now, to find the number of students whom should be admitted.
Space for total number of students = 580.
Percentage of the students who are admitted = 65%.
Total number of students whom should be admitted = 65% of 580.



Therefore, the number of students whom should be admitted is 377.