In the figure below, lines m and n are parallel: two parallel lines are shown crossed by a transversal. the angles are labeled with number 1-8. the angles on line m where the line is crossed by the transversal are 1, 2, 3, and 4 in clockwise order from top left. the angles on line n where the line is crossed by the transversal are 5, 6, 7, and 8 in clockwise order from top left. in the diagram shown, ∠6 measures 97 degrees. what is the measure of ∠5?
a)83 degrees
b)90 degrees
c)97 degrees
d)180 degrees
i think its c

The answer is 83 for sure. I just took a test and the correct answer was 83

(A)83°

Step-by-step explanation:

It is given that lines m and n are parallel to each other and l is the transversal crossing the two given parallel lines,and m∠6=97°, then by using the property of liner pair angles, we have

m∠5+m∠6=180° (Because they form a linear pair)

⇒m∠5+97=180

⇒m∠5=180-97

⇒m∠5=83°.

Thus, the measure of ∠5 is 83°.

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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