Which set of side lengths shows similar triangles?
answer

triangle abc : 32, 20, 32; triangle xyz: 30, 16, 16

triangle abc : 110, 80, 60; triangle xyz: 6, 8, 5.5

triangle abc : 40, 20, 50; triangle xyz: 10, 12.5, 10

triangle abc : 30, 30, 60; triangle xyz: 15, 15, 30

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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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