Answer:
t = 24 yards
Step-by-step explanation:
Since the trapezoids are similar then the ratios of corresponding sides are equal, that is
= 
Substitute in given values
=
( cross- multiply )
0.25t = 6 ( divide both sides by 0.25 )
t = 24
42 is the LCD of all the above fractions.
Answer: The required length of the segment AA' is 11 units.
Step-by-step explanation: Given that the point A(5, 11) is reflected across the X-axis.
We are to find the length of the segment AA'.
We know that
if a point (x, y) is reflected across X-axis, then its co-ordinates becomes (x, -y).
So, after reflection, the co-ordinates of the point A(5, 11) becomes A'(5, -11).
Now, we have the following distance formula :
The DISTANCE between two points P(a, b) and Q(c, d) gives the length of the segment PQ as follows :

Therefore, the length of the segment AA' is given by

Thus, the required length of the segment AA' is 11 units.
Answer:
Step-by-step explanation:
fog(x)=f(g(x))
=f(x+2)
=3⋅(x+2)
=3x+6
gof(x)=g(f(x))=g(3x)
=3x+2
gof(2)=3⋅2+2
=6+2
=8
fog(2)=3⋅(2+2)
=3*2+6=12