Given: lines l and m are parallel, and line t is a transversal.
angle pair result/justification
1 and 2 are equal (vertical angles)
6 and 8 are equal (corresponding angles)
1 and 4 are equal (alternate exterior angles)
4 and 8 are supplementary angles (i.e. add up to 180 degrees, a straight angle)
Note:
alternate angles are on opposite sides of the transversal, and each attached to a different (parallel) line.
If they are both enclosed by the parallel lines, they are alternate interior angles (examples: angles 2 and 3, 6 and 7)
If they are both outside of the two parallel lines, they are alternate exterior angles (examples: angles 1 and 4, 5 and 8)
Answer:
$ 5674.076
Step-by-step explanation:
The question is on compound interest
The formulae = A= P(1+ r/n) ^nt .......where P is the principal amount, r is the rate of interest in decimal, n is number of compoundings per year and t is the total number of years.
Given; P= $4,000.00 , r=12/100=0.12, n=2 and t=3
Substituting values in the equation A= P(1+ r/n) ^nt
A= 4000 ( 1+0.12/2)^2×3
A=4000(1.06)^6
A=$ 5674.08
Answer:
16,080 km.
Step-by-step explanation:
We want the total number of kilometers in one year.
so
4 weeks /month.
for Work: 9 months in the year 60 km/day 5 days/week
Family Visit : 720 km for 4 times a year
Personal: 200 km / month
Work total = 60 km/day * 5 days/week * 4week/month * 9 months
WorkTotal= 60*5*4*9 = 10,800 km
FamilyTotal= 4*720 = 2880 km
Personal = 200*12 = 2400 km
Total = 10,800 + 2880 + 2400 = 16,080 km
Answer:
$40.00
Step-by-step explanation:
to find the cost multiply the cost per unit by the number of units: 10/6 x 24 = 40
