There are 4 cups in 1 quart.
4 x 3 = 12
3 quarts = 12 cups
Hope this helps. :)
Answer: x=16
Step-by-step explanation:

Subtract 6 on both sides


Subtract 3x on both sides


Divide -1 on both sides


Line AE is NOT parallel to line BD. This is because the intercepts made by the lines and the transversals are not proportional
<h3>Parallel lines theorem</h3>
In the given diagram,
If

Then,
Line AE is parallel to line BD
From the given information,
|AB| = x = 9
|ED| = 5
|AC| = 9 + 11 = 20
|EC| =5 + 7 = 12
Thus,

20 × 5 = 9 × 12
100 ≠ 108
∴ The lines are not parallel
Hence, line AE is NOT parallel to line BD. This is because the intercepts made by the lines and the transversals are not proportional
Learn more on Parallel lines theorem here: brainly.com/question/3264266
#SPJ1
Answer:
x = 5 and y= 15
Step-by-step explanation:
3x + 2y = 45
4x - y = 5 (multiple both sides by 2)
or
3x + 2y = 45
8x - 2y = 10
--------------------( add side with side)
11x + 0 = 55
or x= 55/11 = 5
replace x =5 into 4x - y = 5 we have 4*5 - y = 5
20 - y = 5 or y = 20- 5= 15
So x = 5 and y= 15
Have a good day
Answer:
-429/629
Step-by-step explanation:
Use angle difference formula:
sin(x − y) = sin x cos y − sin y cos x
Assuming x and y are in the first quadrant:
sin(x − y) = sin x cos y − √(1 − cos²y)√(1 − sin²x)
Plugging in values:
sin(x − y) = (8/17) (12/37) − √(1 − (12/37)²)√(1 − (8/17)²)
sin(x − y) = (8/17) (12/37) − (35/37)(15/17)
sin(x − y) = -429/629