Explain clearly why a regular hexagon will tessellate but a regular decagon will not.

A regular hexagon have an interior angle of 120°, while a regular decagon have an interior angle of 144°.

The regular hexagon will tessellate because 3 hexagons can be tessellated at a point. (360° / 120° = 3)

The regular decagon will not tessellate because 360° is not divisible by 144°.

∠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.

she was supposed to add the hours(38.5) and multiply the amount of money she earned(7.50) resulting in $288.75 .

correct me if i'm wrong and if it is i'm truly sorry.