Whats the measure of the angles (SHOW YOUR WORK so I can understand)

Angle DEB: 52

Angle ADB: 30

Angle CBE: 52

Angle BEC: 38

Step-by-step explanation:

Angle DEB = 52 because triangles' angles must add up to 180. Angle ADB is 30 because it is complementary to angle BDE. Angle CBE is 52 because angle BEC is complementary to BED which is 52 degrees to BEC is 38 degrees. since the angles add up to 180, and C is 90, CBE is 52. Finally, BEC is 38 because it is complementary to BED.

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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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