As with any triangle, the sum of angles is 180°.
(a)
(x -5) +(3x +30) +35 = 180 . . . . . sum of angles is 180
4x +60 = 180 . . . . . . . . . . . . . . . . collect terms
4x = 120 . . . . . . . . . . . . . . . . . . . . subtract 60
x = 30 . . . . . . . . . . . . . . . . . . . . . . divide by 4
(b)
Angle A = x -5 = 30 -5 = 25
Angle B = 3x +30 = 3*30 +30 = 120
X= mountain dew y= coke
-(5x+5y=1160)
8x+5y=1523
-5x-5y=-1160
+
8x+5y=1523
<u>3x</u>=<u>363
</u><u />3 3
x=121 g of sugar in Mt. Dew
8x+5y=1523 plug in 3 in x
24+5y-24= 1523-24
<u>5y</u>= <u>1499
</u>5 5
y= 299.8 grams of sugar in coke
Answer:
The 100th term of the sequence is 503.
Step-by-step explanation:
Given : Sequence 8, 13, 18,23, 28,...
To find : The 100th term in the sequence ?
Solution :
Sequence 8, 13, 18,23, 28,... is the arithmetic sequence
Where, First term is a=8
The common difference is d=13-8=5
The nth term of the sequence is given by 
The 100th term is given by,




The 100th term of the sequence is 503.
It was $930.
To over check, multiply it by 20% , you will get $186.
Hope this helps !