4 = (r-2) t
8 = (r+2) t
4 = (r-2) * [8/(r+2)]
4 = (8r-16)/ (r+2) . . .multiply by 2
4r + 8 = 8r - 16
4r = 24
r = 6
hope this helps
The relationship between x and y is represent as:
Since, the relationship is linear.
The standard form of equation of line is:
Consider any two set x and y values from the given relationship.
Let (-2, 10) and (-1,7.5)
The equation of the linear relationship between x and y is:
y = -2.5(x + 2) + 10
Now, to check that the point (9, -17.5) lies on the represented relationship between x and y
Substitute x = 9 and y = -17.5 in the equation y = -2.5(x + 2) + 10
y = -2.5(x + 2) + 10
-17.5 = -2.5(9 + 2) + 10
-17.5 = -2.5(11) + 10
-17.5 = -27.5 + 10
-17.5 = -17.5
Thus, LHS = RHS
Hence the point (9, -17.5) lie on the given linear relationship between x and y.
Answer: The point (9, -17.5) lie on the given linear relationship between x and y.
1. We assume, that the number 118 is 100% - because it's the output value of the task.
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 118 is 100%, so we can write it down as 118=100%. </span>
<span>4. We know, that x is 47% of the output value, so we can write it down as x=47%. </span>
5. Now we have two simple equations:
1) 118=100%
2) x=47%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
118/x=100%/47%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 47% of 118
118/x=100/47
<span>(118/x)*x=(100/47)*x - </span>we multiply both sides of the equation by x
<span>118=2.12765957447*x - </span>we divide both sides of the equation by (2.12765957447) to get x
<span>118/2.12765957447=x </span>
<span>55.46=x </span>
x=55.46
<span>now we have: </span>
<span>47% of 118=55.46</span>
Given that ΔBDA is similar to ΔBDC and:
AD≡DC
AB≡BC
BD≡BD (shared side)
then the best postulate to use is the side-side-side (SSS) postulate.
Answer: SSS
