Answer:
∠QST = 115°
Step-by-step explanation:
Because all angles on a straight line must add to 180 and so should the total angles in a triangle:
∠UST + 23x = 180
And:
∠UST + 12x + 55 = 180
So knowing this, ∠U + ∠T must add up to 23x because 180 - ∠UST is the same for both above equations:
55 + 12x = 23x
Subtract 12x from both sides to isolate the 55 and 23x:
55 + 12x - 12x = 23x - 12x
55 = 11x
Divide both sides by 11:

x = 5
As ∠QST = 23x, we can substitute in the known x:
23x =
23(5) =
23 * 5 = 115
So ∠QST = 115°
Hope this helps!
we are given
Hao dog ate 40 cans of dog food in 31 days
it means that

Firstly, we will find for 1 day
we can divide both sides by 31


now, we can multiply both sides by 6


so,
Hao buy to feed his dog for for the next 6 days is 7.74194 cans.......Answer
Answer:
x = 52
y = 38
Step-by-step explanation:
Angle x is supplementary to a 128º angle.
Supplementary angles add to 180
x+128 = 180
Subtract 128 from each side
x+128-128 = 180-128
x =52
Angle x and y are complementary.
Complementary angles add to 90
x+y =90
52+y =90
Subtract 52 from each side
52-52 +y = 90-52
y = 38
Answer:
L*W
Step-by-step explanation:
As we Know tha area of a rectangle is Leght*witdth so in this case will be L*W but lets prove it by calculating the integral:
Area= L*W= 
So as the integral of a constant is the constant multiplied by the integration variable x.
The integral becomes: L*W(x) where W(x) in this case is W= L*W
Good luck!