Find the missing probability. P(A)=15,P(A∪B)=1225,P(A∩B)=7100 ,P(B)=?
1 answer:
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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
Draw a diagram to illustrate problem as shown below.
Let h = the height of the tree.
Because ΔABC ~ ΔADE, therefore
DE/BC = AD/AB
That is,
h/1.94 = (5.1 + 10.2)/5.1 = 3
h = 1.94*3 = 5.82 m
Answer: 5.82 m
Let h = the height of the tree.
Because ΔABC ~ ΔADE, therefore
DE/BC = AD/AB
That is,
h/1.94 = (5.1 + 10.2)/5.1 = 3
h = 1.94*3 = 5.82 m
Answer: 5.82 m