Triangles add to 180.
180 - 57 - 43 = 80.
Vertical angles are always equal, so they are both 80 degrees in this case.
Now we know the top triangle has 80 + 2x = 180
2x = 100
Therefore x is 50 degrees.
Answer:
144 p
Step-by-step explanation:
It was due to be returned on 26 November but she returned it on 12 December.
She was therefore with it for an extra 16 days.
The fine is 9p per day. Therefore, she will pay a fine of:
9 * 16 = 144 p
In the given triangle, the verteces are A(-4, 1), B(-6, 5), C(-1, 2).
A refrection across the x-axis will result in A'(-4, -1), B'(-6, -5), C'(-1, -2)
A translation of 1 unit to the right will result in A"(-3, -1), B"(-5, -5), C"(0, -2)
A translation of 1 unit down will result in A"'(-3, -2), B"'(-5, -6), C"'(0, -3) which corresponds to points DEF.
Therefore, the series of transformation required to transform ABC to DEF are <span>a reflection across the x-axis followed by a translation of 1 unit right and 1 unit down.</span>