Respuesta :
Answer:
We have to make each convex sum final total equal to 540. So the answer is x = 0.26856 and $ = 36.08 in the equation through trial and error.
Step-by-step explanation:
540/5 = 108 equal angles
call 179.4 largest = $5x-1$
if x= 35.88 then $ =0
if x = 560
then $ must equal 580-560=20
which is x 1.03.
Therfore $x +1s = 36.91
$2x$=73.9128
$3x$ =110.8692
$4x$ = 147.8256
$5x-1$ = 178.37
We change this to adding 1.03 to 179.4 = 180.4
then divide by 5 = 36.08
$x +1$ = 36.91 now 37.11
$2x$=73.9128 now 74.3248
$3x$ =110.8692 now 111.4872
$4x$ = 147.8256 now 148.6496
$5x-1$ = 178.37 now 180.4- 1.03 = 179.4
We add them together and find they add to 550.9716
We therefore can work out 550.9716 -540 degree = 10.9716
- and should have been 15 measures to begin with. To put right we can change 1.03 by subtraction to 1/15 of 10.9716 = 0.73144 1.03 - 0.73144 = 0.26856 therefore x = 0.26856 and $ = 36.08
Answer:
179
Step-by-step explanation:
We know that the sum of the angles in a convex pentagon will add up to 540 degrees, so we can plug in that number as the sum of the x- values.
(X + 1) + 2X + 3X + 4X + (5X - 1)
The +1 and -1 cancel each other, so we are left with 15X= 540. (X = 36) We can then plug in X for 5X-1 to get our final answer of 179.
