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:
113.1 unit²
Step-by-step explanation:
A cylinder is a shape with two round ends and two parallel lines connecting the round ends.
Height=9 unit, Base=4 unit
The lateral surface area of a cylinder (A) is given by the equation:
where r is the radius of the cylinder and h is the height of the cylinder.
Given that the base = 4 unit, therefore the diameter (d) = base = 4 unit. Also the height (h) = 9 unit.
Radius (r) = d/2 = 4/2 = 2 unit
Calculating the area of the cylinder is as follows
The area of the cylinder is 113.1 unit²