In triangle xyz, a is the midpoint of xy, b is the midpoint of yz, and c is the midpoint of xz.
also, ay = 7, bz = 8, and xz = 18. what is the perimeter of triangle abc? explain

24

Step-by-step explanation:

We have the theorem that if we join the midpoints of two sides of a triangle then the line so formed will be half of the third side of the triangle.

So, here in this case in triangle XYZ, A is the mid point of XY and B is the mid point of YZ,

Hence, Segment AB = Half of segment XZ =

Similarly, Segment BC = Half of segment XY = Segment AY =7

{Since, Segment AY = Half of segment XY}

And again, Segment CA = Half of segment YZ = Segment BZ = 8

So, the perimeter of triangle ABC is = AB + BC + CA = 9 + 7 + 8 = 24. (Answer)

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 ☺

step-by-step explanation:

what is the figure? attach a picture.