Represent these consecutive numbers (assuming that they are all integers):
x
x+1
x+2
x+3
x+4
x+5
and so on
x+8
x+9 is the tenth number. x+9 = 10, so x = 9.
Think of it this way: there are 10 consecutive numbers, and the last one is 10.
Working backwards, we get the sequence 10, 9, ... 3, 2, 1.
The sum of such an arith sequence is equal to the count of the numbers times the average of the first and last terms:
sum here = 10(1+10)/2 = 5(11) = 55 (answer)
Answer:
Step-by-step explanation:
In Δ PQS and ΔPQT
∠QPS = ∠RPT {Common angle}
∠PSQ = ∠PTR = 90° {QS & RT are altitude}
QS = RT {given}
ΔPQS ≅ ΔPRT {A A S congruent}
PQ = PS {CPCT}
So, PQR is an isosceles triangle.
9)
a) Flas card (I) and (iii) are congruent.
b) A S A congruent
c) BC ≅ RP
Answer:209.84 - 20.00 = 189.84 / 2 = 94.92
94.92 + 20.00 = 114.92 Eva spent and Martha spent $94.92
Step-by-step explanation:
Answer: A
Step-by-step explanation: Alright so- it says that Justin is both in half of his friends photos (which would be 15 photos) and half of his family's photos (6 photos). The total amount of photos period is 50 photos and 15 is greater than 6. Therefore I would say A.
Answer:
q ≥ 3
Step-by-step explanation:
add 1 to both sides and there you have your answer!
2 ≤ q-1
+1 +1
3 ≤ q
or
q ≥ 3