Find the value of the variable, i understand the two angles are corresponding with one another but how would i find the value of the variable with what's given?

The value of p is 32°

Step-by-step explanation:

Consider the provided figure.

If two lines are intersect by another line or Transversal then the angles in matching corners are called Corresponding Angles.

The value or measure of corresponding angles are same.

Here we can see two parallel lines are intersected by the transversal as shown.

The transversal makes an angle of 90° with two parallel line.

Note: The sign in figure shown below shows that the angle is 90°

Therefore,

Corresponding angles

Hence, the value of p is 32°

40% off the regular price is the correct answer.

step-by-step explanation:

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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