In the diagram, PT is parallel to QR. What is the measure of angle PQR in degrees?

116

Step-by-step explanation:

Since the two angles at $R$ add to $180^\circ,$ then $\angle QRT + 128^\circ = 180^\circ,$ so $\angle QRT = 52^\circ.$

Since $PT$ and $QR$ are parallel, then $\angle PTR$ and $\angle QRT$ are supplementary, so $2x^\circ + 52^\circ = 180^\circ$ or $2x^\circ = 128^\circ$ or $x = 64.$

Therefore, three of the angles of quadrilateral $PQRT$ are $64^\circ,$ $128^\circ,$ and $52^\circ.$

Since the angles in a quadrilateral add to $360^\circ,$ then $\angle PQR = 360^\circ - 64^\circ - 128^\circ - 52^\circ = \boxed{116} \text{ degrees}$.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

the number 100 represents the number of trials in the experiment.

49/100 represents the experimental probability of the coin landing heads up.

step-by-step explanation: