Determine the approximate value of x using basic trigonometry. (Round to the nearest hundredth..)

The value of x = 35.62

Therefore, option C) is true.

Step-by-step explanation:

Given

Ф = 58°

hypotenuse = 42

To determine:

x = ?

We know that the trigonometric ratio

sin Ф = opposite / hypotenuse

Here:

so substituting the value

sin Ф = opposite / hypotenuse

sin 58° = x / 42

x = 42 × sin 58°

  = 35.62

Thus, the value of x = 35.62

Therefore, option C) is true.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

honesty mood

step-by-step explanation: