Answer:
ching song
Step-by-step explanation:
blig blong
let the price of pizza and soda( per 2 litre bottle) be x and y
from 1st condition
12x+2y=137.6.....(1)
from 2nd condition
x+y =11.95.......(2)
multiply eq. (2) by 2
2x+2y=23.9.....(3)
subtracting (1) and (3)
12x+2y=137.6
2x+2y= 23.9
10x = 113.7
x=113.7/10
x=11.37
2(11.37)+2y=23.9
22.74+2y=23.9
2y=23.9-22.7
2y=1.2
y=0.6
So the prices of the pizza and soda are 11.37 and 0.6 dollars.
<u>Finding x:</u>
We know that the diagonals of a rhombus bisect its angles
So, since US is a diagonal of the given rhombus:
∠RUS = ∠TUS
10x - 23 = 3x + 19 [replacing the given values of the angles]
7x - 23 = 19 [subtracting 3x from both sides]
7x = 42 [adding 23 on both sides]
x = 6 [dividing both sides by 7]
<u>Finding ∠RUT:</u>
We can see that:
∠RUT = ∠RUS + ∠TUS
<em>Since we are given the values of ∠RUS and ∠TUS:</em>
∠RUT = (10x - 23) + (3x + 19)
∠RUT = 13x - 4
<em>We know that x = 6:</em>
∠RUT = 13(6)- 4
∠RUT = 74°
