4/7 = y/5019....with y being yes votes
cross multiply
(7)(y) = (4)(5019)
7y = 20076
y = 20076/7
y = 2868 <=== yes votes
total of yes and no votes : 5019 + 2868 = 7887
Angles 1, 3, and 4 make up a straight line.
Thus, 3x + 90 + 3x - 6 = 180 (angle sum of straight line)
6x - 6 = 90
6x = 96
x = 16
Now angle 1 becomes 3(16) = 48
Angle 1, 2, and 3 also make up a straight line.
Thus, angle 2 + 48 + 90 = 180
angle 2 + 138 = 180
angle 2, therefore, becomes 42. In essence, (A)
<h2>
Hello!</h2>
The answer is:
The correct option is
a) 
<h2>
Why?</h2>
Since a right triangle is formed, we can calculate the resultant force using the Pythagorean Theorem which states that:

Where,
c, is the hypothenuse.
a, is one triangle leg.
b, is the other triangle leg.
So, we are given the information:


So, calculating the resultant force (hypothenuse), we have:

Hence, the expression that would find the result velocity is:
a) [tex]Resultant=\sqrt{22^{2} +4^{2} }[/tex]
Have a nice day!
Answer:
He and each of his sisters will recieve 1/4 of the pizza
Step-by-step explanation:
Answer:
<em>y = (-4/3)*x + 7</em>
<em />
Step-by-step explanation:
The point-slope form of the equation of a line is: <em>y = a*x + b </em>
In the above equation, <em>a </em>is the slope of the line representing the equation in the graph and y is the function of x [y = y(x)]
The given line has a slope of -4/3, so that <em>a = -4/3 </em>
=> The equation of this line has a form as following: <em>y = (-4/3)*x + b (1)</em>
<em />
As the line passes through the point (9; -5) (in which: x = 9; y = -5). Replace x =9 and y = -5 into the equation (1), we have:
<em>y = (-4/3)*x + b</em>
<em>=> -5 = (-4/3)*9 + b </em>
<em>=> -5 = -12 + b </em>
<em>=> b = 7</em>
<em />
So that the equation in point-slope form of the given line is:
<em>y = (-4/3)*x + 7</em>
<em />