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
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Answer:
y = 22.5 - 0.2t
Step-by-step explanation:
Given;
total number of candle, n = 22.5 ounce
Rate of candle burn, R = 1 ounce per 5 hours
The amount of candle left = total initial value - amount burnt
let the amount let = y
y = 22.5 - 0.2t
where;
t is the time in which the candle is burnt
Thus, the equation for the amount of candle left is given by;
y = 22.5 - 0.2t
Answer:
The length of the angle bisector of angle ∠A is 6.01.
Step-by-step explanation:
It is given that length of leg AC = 5 ft and the hypotenuse AB = 13 ft.
Using pythagoras theorem
Bisector divides the angle in two equal parts, therefore,
In triangle ACD.
Therefore the length of the angle bisector of angle ∠A is 6.01.
