Which of the following correctly justifies statement 4 of the two-column proof?
2 answers:
Answer:
D.Transitive property of equality
Step-by-step explanation:
We are given that segment JK is parallel to segment LM
We have to prove
We have to find which option correctly justifies the statement 4 of the two - column proof.
1.Statement : JK is parallel to segment LM
Reason: Given
2.
Reason: Vertical angles theorem
3.
Reason:Corresponding angles theorem
4.
Reason: Transitive property of equality.
If a=b and b=c then a=c
Hence, option D is true.
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Answer:
Step-by-step explanation:
Given:
Number of bushes planted = 5
Minimum number of bushes to be planted = 12
Let the number of bushes planted after planting 5 bushes be .
Since, Tamara has already planted 5 bushes, total number of bushes planted is given as:
Now, as per question, total number of bushes should be 12 or greater than 12.
Therefore, .
Answer:
The required co-ordinate is (-2, -5).
Step-by-step explanation:
For a given point, reflection of a point (x, y) across a horizontal line y = k, the reflected co-ordinates will be: .
Here, (x, y) = (-2, 7) then reflection along the line y = 1, we get:
= (-2, -5)
The reflected point is (-2, -5).
Answer:
x = 3
Step-by-step explanation:
Given
4 : 8 = x : 6, expressing in ratio form, that is
=
( cross- multiply )
8x = 24 ( divide both sides by 8 )
x = 3
Thus 4 : 8 = 3 : 6