Step-by-step explanation:
Let the larger integer be x
Hence, the smaller integer = x-2
Hence,
Reciprocal of the x= 1/x
Reciprocal of x-2= 1/ x-2
Hence. their sum=

50
Step-by-step explanation:
Since AE is the bisector of angle BAC,so angle BAE and Angle CAE is equal. Here Angle CAE and Angle EAC is same.
therefore,
m(Angle BAE)=m(Angle EAC)

or, 2x=40
or, x=20
Hence,
m(Angle EAC)=

=

It took him 20 seconds to fill out each one of those balloons. 20x3=60 seconds= 1 minute
Answer:
Step-by-step explanation:
Triangle P is mapped onto Q so P is the initial triangle that will transformed.
We can rotate counterclockwise 90° but we cannot do it about the origin (0,0) because the red point (5, 1) will end up at ( -1, 5) .
We see that the point (5, 1) ends up at ( -2, 4) so the center of rotation is lower than the origin.
The transformation is rotation of 90° about the point (0,-1)
The answer is B
The correct inverse of 3x+1 is actually (1/3)x - 1/3
plug in 10 to the inverse
10/3 - 1/3 = 9/3 or 3
this gives you the point (10,3)