X 24°
11
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.

12.0

Step-by-step explanation:

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the trig function relating the adjacent side of an angle in a right triangle to the hypotenuse:

Cos = Adjacent/Hypotenuse

Filling in the given values, we have ...

cos(24°) = 11/x

Multiplying this equation by x/cos(24°), we get ...

x = 11/cos(24°) ≈ 12.0

∠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.