Find length of mn such that ln = 5.7 and lm = 1.3 mn= x + 2.1

Step-by-step explanation:

This geometric problem is about a single straight segment with three points on it L, M and N, L is the beginning, M is in between and N is the end.

So, basically, the segment can be expressed like this: LN = LM + MN.

Then, in order to find MN, we just need to replace the values of each segment, that is, LN = 5.7; LM = 1.3 and MN = x + 2.1

Solving the equation:

LN = LM + MN

5.7 = 1.3 + x + 2.1

5.7 = x + 2.4

5.7 - 2.4 = x

x = 3.3

Now we know the variable, we can find MN:

MN = x + 2.1

MN = 3.3 + 2.1

MN = 5.4

Therefore, the length of MN is 5.4.

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 ☺

what is the answer to this