Caroline is making some table decorations.

Each decoration is made from a candle and a holder.

Caroline buys some candles and some holders each in packs.

There are 30 candles in a pack of candles.

There are 18 holders in a pack of holders.

Caroline buys exactly the same number of candles and holders.

(i) How many packs of candles and how many packs of holders

does Caroline buy?

Caroline buys 3 packs of candles and 5 packs of holders.

Step-by-step explanation:

1.) First, find multiples of 30 by adding 30 to itself. For example, 30, 60, 90.

2.) Second, find multiples of pakcs of holders until it matches the multiples of candle packs. 18, 36, 54, 72, 90.

3.) then you find that Caroline buys 3 packs of candles and 5 packs of candle holders so she has the same amount of both.

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 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.