In triangles △abc and △def, m∠a=m∠e, m∠c=m∠f, ac=6, ef=2, and ab=3.3, side df is shorter than side bc by 3.2. find the unknown sides of these triangles.

DE = 1.1, BC = 4.8,DF = 1.6

Step-by-step explanation:

We have ∠A=∠E and ∠C=∠F, so ∠B=∠D.

So triangles △ABC and △DEF are similar triangles.

We have

DE = 1.1, BC = 4.8,DF = 1.6

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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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