Answer:
Line r
Explanation:
A common internal tangent is a tangent of both circles in which the intersection of the tangent and the line segment joining the centers is not empty.
This means that the tangent and the line segment joining the centers must intersect.
Line s does not intersect AB, the line segment joining the circles. This means line s is not the common internal tangent.
Segment AB is the segment joining the centers; it is not tangent to the circles.
Line r is tangent to both circles and intersects AB; this is the common internal tangent.
Answer:
Step-by-step explanation:
Let the age be xy or 10x + y.
Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:
- (10y + x)/3 + 20 = 10x + y
- (10y + x)/3 = 10x + y - 20
- 10y + x = 3(10x + y - 20)
- 10y + x = 30x + 3y - 60
- 30x - x + 3y - 10y = 60
- 29x - 7y = 60
We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.
Possible options for x are:
- 29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,
and
- 29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.
So x can be 3 or 4.
<h3>If x = 3</h3>
- 29*3 - 7y = 60
- 87 - 7y = 60
- 7y = 27
- y = 27/7, discarded as fraction.
<h3>If x = 4</h3>
- 29*4 - 7y = 60
- 116 - 7y = 60
- 7y = 56
- y = 8
So the age is 48.
Let’s say y is 20 so five less 20-5=15 so 15 is six more than x + 1 so 15-6=9 ,
9+11=20 , so that means x is less than y by 11 but x could be less than y by 12 because it said x + 1. Hope this helps
Answer: 0.31 is the decimal form of 31%
Step-by-step explanation: