There are 20% percent more goblins than wizards in magic club. there are 220 goblins and wizards altogether in magic club. how many goblins are in the magic club?

Number of goblins in the magic club = 120

Step-by-step explanation:

Let number of goblins in the magic club be x

Number of goblins and wizards in the magic club are given to be 220

So, Number of wizards in the magic club be 220 - x

There are 20% percent more goblins than wizards in magic club.

⇒ Number of goblins = Number of wizards + 20% of number of wizards

⇒ x = 220 - x + 20% of (220 - x)

⇒ x = 220 - x + 0.2·(220 - x)

⇒ 2·x = 220 + 44 - 0.2·x

⇒ 2.2·x = 264

⇒ x = 120

Therefore, Number of goblins in the magic club = 120

∠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.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl