Given: Lines p and q are parallel and r is a transversal.
2 answers:
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
You might be interested in
Answer:
Total cost for tiles and paints is $924.
Step-by-step explanation:
We have been given that a community hall is in the shape of a cuboid. The hall is 40m long 15m high and 3m wide.
The paint will be required for 4 walls and ceiling.
Let us find area of walls and ceiling.
Therefore, the area of walls and ceiling is 1410 square meters.
Given: Cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. Therefore,
Therefore, the total painting cost is $564.
Tiles will be required for floor. Let us find the area of floor.
Given: 1m squared floor tiles costs $3. So,
Therefore, the total cost for tiles is $360.
Now let us find combined total cost of tiles and paint.
Therefore, the combined total cost of tiles and paint is $924.