Answer:
2,520
Step-by-step explanation:
The number of possible arrangements of officers patrolling the streets is the combination of choosing 5 officers out of 10 (₁₀C₅). After choosing the patrolling officers, the number of arrangements for the officers working full time at the station is given by the combination of choosing 2 officers out of the 5 remaining (₅C₂). The remaining officers should be on reserve at the station (₃C₃). The total number of arrangements is:
There are 2,520 possible divisions.
Answer $220 dollars
Margo spent 220 dollars at the concert.
Answer:
- ∠1≅∠2-------------------------(Given)
- m∠1=m∠2-------------------(Definition of congruent angles)
- ∠ABP, ∠1 and ∠DCP,∠2 form linear pair---------------Linear pair
- m∠ABP+m∠1=180° and m∠DCP+m∠2=180°--------definition of linear pair
- ∠ABP≅∠DCP--------------------If equals are subtracted from equals, the remainders are equal
- AP≅DP----------------------------Given
- ΔABP≅ΔDCP-------------------AAS
Step-by-step explanation:
Given, ∠1≅∠2, ∠3≅∠4 and AP≅DP,
∠1≅∠2(given)
⇒m∠1=m∠2(definition of congruent angles)
- ∠m∠1=180° and ∠+m∠2=180° (Linear Pair)
180°=180°(Reflexive)
⇒m∠m∠1=m∠+m∠2
But m∠1 =m∠2 (definition of congruent angles)
⇒m∠m∠1=m∠+m∠1
m∠=m∠=(GIven)
Therefore, ΔΔ (by AAS criteria)
condition are:
- m∠1=m∠2 (Angle)
- m∠=m∠ (Angle)
- AP=DP (Side)
Answer: $2.55
Step-by-step explanation:
He bought the second shirt for half off the first shirt's price. He therefore bought it at:
= 19.99/2
= $10.00
Total paid for both shirts is therefore:
= 19.99 + 10
= $29.99
Sales tax is 8.5% so he paid:
= 29.99 * 8.5%
= 2.54915
= $2.55