Answer:
The statement A is Angle 2 is congruent to angle 3
The statement is Angle 3 is congruent to angle 7
Step-by-step explanation:
The given information are;
The given parallel lines = p and q
The given transversal = r
The angles from the top left at the intersection of p and r = 1, 2, 4, 3
The angles from the top left at the intersection of q and r = 5, 6, 8, 7
The 2-column table is presented as follows;
Statement Reasons
p is parallel to q and r is a transversal Given
A Vertical angles are congruent
B Correlated angle theorem
Angle 2 is congruent to angle 7 Transitive property
We have the orientation of the angles given as follows;
1, 2
3, 4
5, 6
7, 8
Therefore, we have;
A = Angle 2 is congruent to angle 3 Vertical angles are congruent
B = Angle 3 is congruent to angle 7 Correlated angle theorem
To give;
Statement Reasons
p is parallel to q and r is a transversal Given
Angle 2 is congruent to angle 3 Vertical angles are congruent
Angle 3 is congruent to angle 7 Correlated angle theorem
Angle 2 is congruent to angle 7 Transitive property
Answer:
111
Step-by-step explanation:
It is given that the student to faculty ratio at a small college is 17:3.
Let number of students and faculty members are 17x and 3x respectively.
It is given that total number of students and faculty is 740.
Divide both sides by 20.
Number of student
Number of faculty members
Therefore, there are 111 faculty members at the college.
