The weight of a piece of wire is directly proportional to its length. a piece of wire is 25cm long and has a weight of 6 grams. another piece of the same wire is 30cm long. calculate the weight of the 30cm piece of wire p is inversely proportional to m. p=48 when m=9 calculate the value of p when m =12.

Part A

Weight of a piece of wire is directly proportional to its length

⇒ Weight of wire piece (W) α Length of wire (L)

⇒ W = k × L

When L = 25 cm, then W = 6 gms

⇒ = k

⇒ k =

To calculate weight of 30 cm wire, put value of k and W in the expression W = k × L

⇒ W = × 30

⇒ W = 7.2 gms

Part B

p α m

⇒ p = k × m

If p=48 and m=9

k =

⇒ k =  

Now to calculate p when m = 12, substitute the value of m and k in p = k × m

p = × 12

⇒ p = 64

b) 36

step-by-step explanation:

18 times 2 is 36

∠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.