Suppose that the value of other ratio is equal to 6/3 then,
20/3x-8 = 6/3
18x-48 = 60
18x = 60+48
18x = 108
x = 6
Answer:
C) No, their slopes are not opposite reciprocals.
Step-by-step explanation:
First we find the slopes.
slope of PQ = (3 - 0)/(7 - 11) = 3/(-4) = -3/4
slope of RS = (-3 - 1)/(6 - 3) = -4/3
product of the slopes = (-3/4) * (-4/3) = 1
The slopes are reciprocals, but they are not opposite reciprocals, so the lines are not perpendicular.
Answer:
<h2>
46</h2>
Step-by-step explanation:
x - age of a son three years ago
3x - age of a father three years ago
x + 3 - age of the son now
3x + 3 - age of the father now
x + 3 + 5 - age of the son in five years time
3x + 3 + 5 - age of the father in five years time
in five years time, the father will be twice as old as his son, so:
3x + 3 + 5 = 2(x + 3 + 5)
3x + 8 = 2x + 16
3x - 2x = 16 - 8
x = 8
x + 3 + 4 - age of the son in four years time
8 + 3 + 4 = 15
3x + 3 + 4 - age of the father in four years time
3×8 + 3 + 4 = 31
the sum of their ages in four years time:
15 + 31 = 46
-32
Explanation:
8/2 + (18-12)4-5•12
8/2 + (6)4 - 5 • 12
4 + 24 - 60
28 - 60
-32
Hope this helps!
