The ratio of one side of abc to the corresponding side of similar def is 5: 8. if the perimeter of def is 96 inches, what is the perimeter of abc?

Perimeter of abc is 60 inches.

Step-by-step explanation:

The ratio of one side of triangle abc to the corresponding side of similar triangle def is 5:8.

Now we are given that the perimeter of def is 96 inches.

since the perimeter is the sum of all the sides of a triangle.

" If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b" .

Here we have a=5 and b=8.

Hence by the above statement we could say that:

Let Perimeter of abc be denoted by "P"

Perimeter of abc : Perimeter of def=5:8

⇒  

Hence the Perimeter of abc is 60 inches.

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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