In def, fe=13 and m(angle)f=34. find df to the nearest tenth

DF is 15.7 unit

Step-by-step explanation:

Given,

In triangle DEF,

m∠E = 90°, m∠F = 34° and EF = 13,

We have to find the measure of side DF.

By the property of a triangle,

m∠E + m∠F + m∠D = 180°

⇒ 90° + 34° + m∠D = 180°

⇒ m∠D = 180° - 124° = 56°

By the law of sines,

  ( By cross multiplication )

By substituting values,

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: