Answer: (-2, 11/6)
Step-by-step explanation:
1. GCF is 7 so answer is 7(5+6)
2. GCF is 5 so answer is 5(3+8)
Answer:
m∠Q = 121°
m∠R = 58°
m∠S = 123°
m∠T = 58°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Create an expression for the sum of all the angles and equate it to 360, then solve for x:
∠Q + ∠T + ∠S + ∠R = 360
⇒ 2x + 5 + x + 2x + 7 + x = 360
⇒ 6x + 12 = 360
⇒ 6x = 360 - 12 = 348
⇒ x = 348 ÷ 6 = 58
So now we know that x = 58, we can calculate all the angles:
m∠Q = 2x + 5 = (2 x 58) + 5 = 121°
m∠R = x = 58°
m∠S = 2x + 7 = (2 x 58) + 7 = 123°
m∠T = x = 58°
A translation formation is one of the simplest transformation since
all it does is just to move the position of the figure without changing the
size, the angles, or any other characteristics other than the position along.
So a translation by a vector (-2, 4) means that all points of the
given figure is moved by:
(x – 2, y + 4)
Meaning that the whole figure is moved to the left by 2 units and
moved to top by 4 units
So to revert this back into the original figure, we simply have to
move again by:
(x + 2, y – 4)
Therefore move the whole figure to the right by 2 units and to the
bottom by 4 units. So the translation to use is a vector (2, -4)
Answer:
(2, -4)
