asapgraph the image of the given triangle after the transformation that has the rule (x, y)→(x+3, y−2) . this is the triangle before you transform it.

From the figure, the vertices of the given triangle are
(-3,4), (1,3) and (5,5).

The given transformation is (x,y) -> (x+3, y-2).
Therefore the coordinates of the transformed triangle are
(-3+3,4-2), (1+3,3-2), (5+3,5-2) = (0,2), (4,1), (8,3)

The transformed triangle is shown in red color.

Measure of angle x is 34°

Step-by-step explanation:

Given the figure where O is the center of the circle

we have to find the value of x.

∠ORQ=62°   (Given)

By theorem radius from the center of circle is perpendicular to the tangent line.

∴∠OQP=90°

As OR=OQ both are the radii of same circle ∴ ∠ORQ=∠OQR

In ΔOQR by angle sum property of triangle

∠ORQ+∠OQR+∠QOR=180°

62°+62°+∠QOR=180°

∠QOR=56°

In ΔOQP by angle sum property of triangle

∠OPQ+∠OQP+∠QOP=180°

x+90°+56°=180°

x=34°

Hence, measure of angle x is 34°