Answer:
1/10 or 2/20
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
Corresponding angles on parallel lines always have the same measure.
3s + h = $47
7s + 2h= $107
3s + h =$47
3s - 3s + h = $47 -3s
h = $47 - 3s
7s + 2($47 - 3s) = $107
7s + 94 -6s = 107
s + 94 = 107
s +94 -94 = 107- 94
s = 13
3(13) + h = $47
39 + h =$47
39 -39 + h= $47-39
h = 8
Check
7s + 2h= $107
7(13) + 2(8)= $107
91 + 16= 107
107 = 107
She earns $13 per suit sold and $8 per pair of shoes sold.
9514 1404 393
Answer:
14 units
Step-by-step explanation:
The angle bisector divides the sides proportionally.
BD/BA = CD/CA
(x+4)/8 = (2x+1)/12
3(x +4) = 2(2x +1) . . . . . multiply by 24 (the least common denominator)
3x +12 = 4x +2 . . . . . . . eliminate parentheses using the distributive property
12 = x +2 . . . . . . . subtract 3x
10 = x . . . . . . . . . subtract 2
Then the length of BD is ...
BD = x +4
BD = 10 +4 . . . . substitute the value of x
BD = 14
Here's a way to do it.
Let 4e +2 = 5n +1 . . . . . . for some integer n
Then e = (5n -1)/4 = n + (n -1)/4
We want (n-1)/4 to be an integer, so let it be integer m.
... m = (n -1)/4
... 4m = n -1
... 4m +1 = n
Substituting this into our expression for e gives
... e = (5(4m+1) -1)/4 = (20m +4)/4 = 5m +1
e = 5m+1 for any integer m
