Adding three consecutive odd or even numbers is the same as multiplying the middle value by 3
Yes, the new coordinates would be:
R': (9,9)
P': (3,3)
Q': (9,3)
You would multiply all of the current coordinates by three (its scale factor of enlargement) to obtain these answers. Hope this helps!
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Step-by-step explanation:
5.
angle STQ is the supplementary angle (together they are 180° below line MQ) to 2x + 8.
above ST we have a group of 3 angles that combine to 180° :
2x + 8
90°
71 - x
so, to get x first :
2x + 8 + 90 + 71 - x = 180
x + 169 = 180
x = 11
so, the angle MTS =
2x + 8 = 2×11 + 8 = 22 + 8 = 30°.
6.
therefore, the angle STQ is
180 - angle MTS = 180 - 30 = 150°.
