Sally drew a circle with the right triangle prq inscribed in it, as shown below: if the measure of arc qr is 40 degrees, what is the measure of angle pqr? a) 20 degrees b) 40 degrees c) 50 degrees d) 70 degrees

D) 70 degrees

Step-by-step explanation:

Here,

Right triangle PRQ inscribed in a circle,

Let O be the centre of the circle,

If the measure of arc QR is 40 degrees,

By the central angle theorem,

,

Now, by the given options it is clear that measure of angle PQR can not 90°,

Thus, m∠PRQ = 90°,

∵ The sum of all interior angles of a triangle is supplementary,

m∠PRQ + m∠QPR + m∠PQR = 180°,

90° + 20° + m∠PQR = 180°,

110° + m∠PQR = 180°,

m∠PQR = 70°,

Hence, OPTION D would be correct.

the fist one is not equalvalent but i think th second one isand the third isnt definetly or the last one is i think. hope this !

step-by-step explanation:

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.