One rotation has 360 degrees. Since regular Pentagon has 5 sides and each of them takes 360/5=72 degrees when looked from center, if we rotate regular Pentagon by 72 degrees we will get same shape as we started from.
Therefore answer is 72 degrees.
Answer: SAS similarity postulate
Step-by-step explanation:
According to SAS postulate of similarity, two triangles are called similar if two sides in one triangle are in the same proportion to the corresponding sides in the other, and the included angle are congruent.
In triangles, QNR and MNP,



Also,
(Reflexive)
Thus, By SAS similarity postulate,

⇒ Option first is correct.
Answer:
x = 4
Move variables to the right and constants to the left. Then divide.
Step-by-step explanation:
5x + 10 = 7.5x (Given)
-2.5x = -10 (subtraction property of equality)
x = 4 (division property of equality)
Point slope form is
y-y1=m(x-x1)
where slope=m
and (x1,y1) is a given point
slope=(y2-y1)/(x2-x1)
slope=(6-7)/(-8-(-5))=-1/(-8+5)=-1/-3=1/3
pick any point
(x,y)
(-5,7)
y-7=1/3(x+5) or
y-6=1/3(x+8)