Answer:
see below
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles.
139 = <Q + <P
= 6y+1 + 4y+8
= 10y+9
139 = 10y+9
Subtract 9 from each side
130 = 10y
Divide each side by 10
13 = y
<P = 4y+8 = 4*13+8 = 60
<Q = 6y+1 = 6*13+1 =79
QPR = We know this makes a straight line with 139
= 180-139 = 41
24501.42m3 is the answers
Answer:
$360
Step-by-step explanation:
The intial ratio of the sum shared between Khairul, Michael and Ethan is 6 : 4 : 5.
This would be 6x : 4x : 5x
Khairul gives $30 to Michael and $15.
The ratio is. Now;
(6x - 45) : (4x + 30) : (5x + 15)
We are told this is equal to the ratio 7:6:7
Thus;
((6x - 45) + (4x + 30))/(5x + 15) = (7 + 6)/7
(10x - 15)/(5x + 15) = 13/7
Factorize the left hand side;
5(2x - 3)/5(x + 3) = 13/7
5 will cancel out to get;
(2x - 3)/(x + 3) = 13/7
Cross multiply to get;
7(2x - 3) = 13(x + 3)
14x - 21 = 13x + 39
14x - 13x = 39 + 21
x = 60
Amount Khairul had initially was denoted as 6x.
Thus,6x = 5 × 60 = $360
F is number of frogs sold
p is number of Popsicles sold
6f+1.5p=94.50
f+p=36
Rearrange
p=36-f
Substitute
6f+1.5(36-f)=94.5
Reduce
6f+54-1.5f=94.5
4.5f=40.5
F=9
Substitute
9+p=36
P=27
George sold 27 Popsicles and 9 Frogs
