In the figure, r//s

< 2= < they are corresponding angles of parallel lines cut by a transversal.
< 5=< by the vertical angles theorem.

 , because they are corresponding angles of parallel lines cut by a transversal.

by Vertical angles theorem.

Step-by-step explanation:

From the given picture, we can see there are two parallel lines r and s intersected by a transversal line t.

Since corresponding angles of parallel lines cut by a transversal.

Therefore they must be equal.

Then,

Also, since are vertical angles.

Vertical angles theorem says that vertically opposite angles  at any cross section must be equal.

by Vertical angles theorem.

hello,

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:

thats not a system of equations, that is a solution