Answer:
m<1 = 26°
m<2 = 154°
m<3 = 26°
m<4 = 26°
m<5 = 154°
m<6 = 154°
m<7 = 26°
Step-by-step explanation:
What is required was not stated, however, let's find the value of every angle labelled in this diagram.
✔️m<1 = 180° - 154° (linear pair theorem)
m<1 = 26°
✔️m<2 = 154° (vertical angles theorem)
m<2 = 154°
✔️m<3 = m<1 (vertical angles theorem)
m<3 = 26° (substitution)
✔️m<4 = m<3 (alternate interior angles theorem)
m<4 = 26° (substitution)
✔️m<5 = m<2 (alternate interior angles theorem)
m<5 = 154° (substitution)
✔️m<6 = m<5 (vertical angles theorem)
m<6 = 154° (substitution)
✔️m<7 = m<4 (vertical angles theorem)
m<7 = 26° (substitution)
Height of the water increasing is at rate of 
<h3>How to solve?</h3>
With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:

There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:

Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:

In the problem, we are given
So we need to substitute this in:

Hence, Height of the water increasing is at rate of 
<h3>Formula used: </h3>

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Using the given equation y-3 = 3/4(x+2)
Give Y a value and then solve for x:
If y = 0 the equation is now:
0 -3 = 3/4(x+2)
Solve for x:
-3 = 3/4x + 1.5
-4.5 = 3/4x
x = -4.5 / 3/4
x = -6
So the first point would be (-6,0)
Now make x 0 and solve for y:
y -3 = 3/4(0+2)
y-3 = 0 + 1.5
y = 4.5
So the 2nd point would be (0,4.5)
You are close, but the dot you have on y=4, needs to be moved up to 4.5.
The answer to this problem is (x,y) = (-4,2)
Answer:
51,51 and 78
Step-by-step explanation:
3x+9=4x-5
3x=4x-14
-x=-14
x=14