The figure in the picture is made up of squares. Find the side of the bottom left square, if the side of the smallest square is 1.

3

Step-by-step explanation:

1x/1 x 3/1 = 3

1 unit x 3 = 3

Scale factor of larger square = 3

Ratio = 1 : 3

To determine the scale factor we use the larger measure and divide the compared smaller shape same side measure.

It doesn't matter if the shape or other sides are smaller or the same we take the larger side measure and compare it to the smaller shape.

Triangles for example

We have one smaller triangle 8 and 6

We show in workings shape is 8/6 = 12/x

Then to work out that smaller side we show 8x = 6 x 12 = 72

Then divide each within the sum by 8

8x/8 x 72/8 = 9

x= 9

We apply this to the square

1x/1 x 3/1 = 3

x=3

98%

step-by-step explanation:

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺