Answer:

Step-by-step explanation:
we have

Solve for t
That means ----> Isolate the variable t
Multiply by b both sides to remove the fraction

Factor the variable t in the left side
![t[b+a]=b](https://tex.z-dn.net/?f=t%5Bb%2Ba%5D%3Db)
Divide by (b+a) both sides

Answer:5
Step-by-step explanation:
Answer:
a) 
b) 
c) 
Step-by-step explanation:
a) Geometric sequence with first term 5 and common ratio 2, where the nth term can be calculated via:

The first five terms are: 
b) Geometric sequence with first term 100 and common ratio 1/2, where the nth term can be calculated via:

The first five terms are: 
c) Geometric sequence with first term 160 and common ratio -1/2, where the nth term can be calculated via:

The first five terms are: 
Looks like the answer is 72.89 degrees, which is roughly equal to 73 degrees.
Answer:
x = 27
Step-by-step explanation:
∠ CAD and ∠ EDF are corresponding angles and are congruent, so
∠ CAD = 2x
The sum of the 3 angles in Δ ABD = 180°
sum the angles and equate to 180
72 + 2x + 2x = 180
72 + 4x = 180 ( subtract 72 from both sides )
4x = 108 ( divide both sides by 4 )
x = 27