1. Given AB over CD = AO over OC = BO over OD
Prove: <1 is congruent to <2
two column proof
answer: $201
step-by-step explanation: to get the answer, you first get 3 nieces that he sold and multiply it by 67 and get $201, so he earned $201 selling his nieces.
answer: 28.56 feet (approx)
step-by-step explanation:
since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.
we have to find out the measurement of segment ab.
therefore, tan 55° =
but bc = 20 feet.
⇒ tan 55 ° =
⇒ ab = 20 × tan 55 °
⇒ ab = 20 × 1.42814800674
⇒ ab = 28.5629601348 ≈ 28.56 feet
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 ☺
two column p...