Answer: The answer is (C) 180° rotation.
Step-by-step explanation: Given that the point A maps to the point A' by a rotation. We are to select the statement that describes the rotation.
In the given figure, the co-ordinates of point A are (-3, 5) and after rotation, the co-ordinates of point A' are (3, -5).
Therefore, the point (x, y) changes to (-x, -y) after rotation. This is the result of 180° rotation.
Therefore, the point A is rotated through an angle of 180° to reach at the point A'.
Thus, the correct option is (C) 180° rotation.
Answer:
n = 6
Step-by-step explanation:
17n + 4n - 4 =122
combine like terms 17n & 4n
21n - 4 = 122
21n - 4 + 4 = 122 + 4
21n = 126
21n / 21 = 126 / 21
n = 6
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".
To find the acceleration of the bicycle rider, we are going to use the acceleration formula:
where
is the acceleration
is the initial speed
is the final speed
is the time
We know from our problem that increases his speed from 5 m/s to 15 m/s in 10 seconds, so his initial speed is 5 m/s and his final speed is 15 m/s; therefore,
,
, and
. Lets replace those values in our formula:
We can conclude that the acceleration of the bicycle rider 1 m/s^2
Answer:
9
Step-by-step explanation:
I would guess it looks like this - if not then tell me
2×3=6
5-2=3
Then there's only
Which is equal to