The function ƒ (x) = 12x gives the number of inches in x feet, and g(x) = 3.28x gives the approximate number of feet in x meters. Write a composite function that could be used to convert meters to inches.

Step-by-step explanation:

Given the f(x) = 12x as  the number of inches in x feet and g(x) = 3.28x gives the approximate number of feet in x meters, to find the composite function that can be used to convert metres to inches will give;

f[g(x)] (This means we are substituting the function that is measured in metres into the functions measured in inches).

Given g(x) = 3.28x,

f[g(x)] = f(3.28x)

f(3.28x) means that we are to replace the variable of x in f(x) with 3.28x as shown;

f(3.28x) = 12(3.28x)

f(3.28x) = 39.36x

f[g(x)] = 39.36x

Hence the composite function that could be used to convert meters to inches is expressed as 39.36x.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.