If l is parallel to m, find the values of x and y in the diagram below

The values of x and y from the diagram is 13 and 24

From the given diagram and information, the sum of the interior angle of the triangle is 180 degrees, hence:

7x - 31 + 63 + 5x - 8 = 180

12x + 24 = 180

12x = 180 - 24

12x = 156

x = 13

Also, 5x - 8 + 4y + 27 = 180

65 + 4y + 19 = 190

4y + 84 = 180

4y = 96

y = 24

Hence the values of x and y from the diagram is 13 and 24

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x = 13

y = 24

Step-by-step explanation:

By remote interior angle theorem:

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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step-by-step explanation: