After every month's withdrawals, 4/5 of the original amount at the start of the month will remain. The amount at the start of every month will change. Thus:
an = 4/5 (an-1) ; where a1 = 500.
We have a bunch of rectangles making up the lateral sides of this figure. They have side length 12 and height 13.
So the area of one rectangle is 12 x 13 = 156.
We have 6 of these rectangles, so our lateral area is 6(156) = 936.
The total surface area requires that we include the area of the base. To find the area of a regular polygon we take half of the product of the apothem and perimeter.
A = (1/2)*a*p
The apothem is given to be 10.39,
and the perimeter is fairly easy to calculate:
With the side length being 12, the perimeter is then 6(12) = 72.
So then the area of our base is (1/2)*10.39*72 = 374.04
So then the total surface area is the (base area) + (lateral area),
374.04 + 936 = 1310.04
17) AB = 26
18) ∠1 and ∠2 are supplementary angles.
19) ∠1 and ∠2 are vertical angles.
20) x = 7
21) 10.125° = ∠GEF
22) x = 14
23) x = 25
<h3>How to find congruent angles?</h3>
17) AC is congruent to CE.
DE = 7x - 1
BC = 9x - 2
CE = 10x + 18
DE + DE = CE
2DE = CE
2(7x - 1) = 10x+18
14x-2 = 10x+18
14x-10x = 18+2
4x = 20
x = 20/4
x = 5
Thus; AC = CE = 10x + 18
CD = 10x + 18 - 7x + 1
CD = 3x + 19
AB = 10x + 18 - (9x - 2)
AB = 10x + 18 - 9x + 2
AB = x + 18 + 2
AB = x + 20
Since x = 5
AB = 5 + 21
AB = 26
18) ∠1 and ∠2 are supplementary angles.
19) ∠1 and ∠2 are vertical angles.
20) ∠TUV = ∠TUW + ∠WUV
7x - 9 + 5x - 11 = 9x + 1
12x - 20 = 9x + 1
3x = 21
x = 21/3
x = 7
21) Let ∠DEG = x. Thus;
∠GEF = 5x - 13
Thus;
x + 5x - 13 = 149
6x = 162
x = 162/6
x = 10.125° = ∠GEF
22) 7x - 1 + 6x - 1 = 180
13x = 182
x = 14
23) 5x + 4 = 8x - 71
3x = 75
x = 25
Read more about Congruent Angles at; brainly.com/question/1675117
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Answer:
Step-by-step explanation:
Exterior angle property: Exterior angles equals the sum of remote angles
19x - 18 = 7x + 1 + 10x - 9
19x - 18 = <u>7x + 10x</u> + <u>1 - 9 </u> {Combine like terms}
19x - 18 = 17x - 8 {Subtract 17x from both sides}
19x - 17x - 18 = -8
2x - 18 = -8 {Add 18 to both sides}
2x = -8 + 18
2x = 10
x = 10/2
x = 5
(Unless my math is wrong) it is 390 miles
