Figure ABCD is transformed to figure A’B’C’D’, as shown: Which of the following sequences of transformations is used to obtain figure A’B’C’D’ from figure ABCD?

A. Reflection about the x-axis followed by a translation to the right by 5 units
B. Reflection about the y-axis followed by a translation down by 5 units
C. Counterclockwise rotation by 180 degrees about the origin followed by a translation to the right by 5 units
D. Counterclockwise rotation by 180 degrees about the origin followed by a translation down by 5 units

PLZ HURRY THIS IS FOR A TEST GRADE!!!

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

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b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation: