Observe the figure below.
Statement Reason
1. AC and BD bisect each other Given
2. AE = EC and BE = ED Definition of bisection
3. 
Vertical angle theorem
Vertical angle theorem states " When two lines intersect each other, the vertically opposite angles are always equal".
4. 
SAS criterion for congruence
5. 
Corresponding angles of congruent triangles are congruent
6. 
Converse of alternate interior angle theorem
7. 
Vertical angle theorem
8. 
SAS criterion for congruence
9. 
Converse of alternate interior angle theorem
As, , so 
as corresponding parts of corresponding triangles are equal. As these angles are alternate interior angles, so the lines BC and AD are parallel by "Converse of alternate interior angle theorem".
7(x-2) +3x=46
7x-14+3x=46
10x-14=46
10x=60
X=6
Answer:
um
Step-by-step explanation:
Answer:
Log₆ (A⁵C² / D⁶) = –13
Step-by-step explanation:
From the question given above,
Log₆ A = 1
Log₆ C = 3
Log₆ D = 4
Log₆ (A⁵C² / D⁶) =?
Recall:
Log MN / U = Log M + Log N – Log U
Therefore,
Log₆ (A⁵C² / D⁶) = Log₆ A⁵ + Log₆ C² – Log₆ D⁶
Recall:
Log Mⁿ = nLog M
Thus,
Log₆ A⁵ + Log₆ C² – Log₆ D⁶
= 5Log₆ A + 2Log₆ C – 6Log₆ D
Log₆ A = 1
Log₆ C = 3
Log₆ D = 4
= 5(1) + 2(3) – 6(4)
= 5 + 6 – 24
= 11 – 24
= –13
Therefore,
Log₆ (A⁵C² / D⁶) = –13
If you have a rectangle that is 2 by 2 and you dilate it by 2, the sides are now 4 x 4. So:
If you dilate it by a factor of 2, the area is 2^2 (4) times as great
A factor of 3 would have an area of 9 times as much.
Conclusion: square the scale factor to get how much greater the area would be.
