Since AED forms a straight line, all involved angles sum to 180°. Therefore AEB + BED = 180. Also, since EC bisects BED, BEC = CED, and BED = 2× CED. Now to substitute the first equation:
AEB + BED = 180
AEB + 2×CED = 180
11x-12 + 2(4x+1) = 180
11x-12+8x+2 = 180
19x-10 = 180
19x-10+10 = 180+10
19x = 190
x = 10
So what is m<AEC?? It is the sum of AEB + BEC, and since BEC = CED we can say that:
AEC = AEB + CED
AEC = 11x-12 + 4x+1 = 15x-11 = 15(10)-11 = 150-11
m<AEC = 139°
Answer:
The correct answer is C.
Step-by-step explanation:
Since the Cosmic Pool company's pool's length is 8ft longer than the width, you can immediately rule out choices A and B, since their <em>widths</em> are greater than their <em>lengths</em> by 8, and not vice versa. This leaves choices C and D. The perimeter of a quadrilateral's formula is 
, which means the length plus the width and multiplied by 2. Using this formula, you can infer that the perimeter is 
= 
= 64ft, so choice C is the correct answer.
The annual interest is $150,000 x 0.15 = $22,500. The accrued interest after 4 years is $90,000. Therefore in the final judgement Jennifer would be awarded:
150,000 + 90,000=240,000.
The answer is $240,000.
Answer:
see explanation
Step-by-step explanation:
A recursive rule allows us to find the term in a sequence from the previous term.
From the given geometric sequence find r the common ratio
r = 
= 
= - 4
Hence recursive rule is
= - 4
( a₁ = 
)
