Answer:
116 degrees
Step-by-step explanation:
It is equal to the measure of the angle opposite of x.
The simple way of calculating a perimeter is to add all of the sides.
For a rectangle this would equal 2 x length + 2 x width
P = 2(6x + 3) + 2(-2x - 5)
= 12x + 6 - 4x - 10
= 8x - 4
At a higher level both the length and width must be greater than zero (= zero is a trivial rectangle)
6x + 3 > 0
6x > -3
x > -0.5
-2x - 5 > 0
2x + 5 < 0 (multiplying by -1 reverses the inequality)
2x < -5
x < -2.5
This rectangle cannot exist as x cannot be < -2.5 and > -0.5 at the same time!
Answer:
Step-by-step explanation:
Always capitalize the names of the seasons
Answer:
The explicit form is 
Step-by-step explanation:
The explicit form of a geometric sequence is given by:

where an is the nth term, a is the first term of the sequence and r is the common ratio.
In this case:
a=162
The value of the common ratio is obtained by dividing one term by the previous term.
For the first and second terms:
108/162=2/3
For the second and third terms (In order to prove that 2/3 is the common ratio)
72/108=2/3
Therefore:
r=2/3
Replacing a and r in the formula:

The distance formula is:
D = sqrt((x2-x1)^2 + (y2-y1)^2)
D= sqrt ((6-2)^2 + (8-1)^2)
D = sqrt(4^2 + 7^2)
D = sqrt( 16 + 49)
D = sqrt(65)
D = 8.06
Rounded to the beat tenth = 8.1 units.
The answer is C. 8.1 units