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)
It is true that (x+2)(x+3) = x2 +5x + 6
Hello,
Using V = (pi)(r)^2(h) :
V = 12
r = ?
h = 8
12 = (pi)(r)^2(8)
12/(8pi) = r^2
sqrt(12/8pi) = sqrt(r^2)
r = .69 in
Good luck to you!
Answer: the amount of dimes is $1.15 this is also equivalent to 11 dimes and an extra nickel.
Explanation:
80 nickels =$4.00
$5.15-$4.00= $1.15
11 dimes= $1.10
1 nickel= $0.05
$1.10+$0.05= $1.15
hope this helps! :)
I=Prt
700=(250)*r*(16)
700=4000*r
700/4000-(4000*r)/4000
0.175=r
17.5%=r
The simple interest rate is 17.5%