What is the value of x in the equation?4 (2x + 6) –10 = 30?
2 answers:
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Answer:
Perimeter = 36 units
Step-by-step explanation:
The figure given has been labelled with letters for easy reference.
Recall: when two tangents segments meet at a point outside the circle, the two segments that are tangent to the circle are congruent to each.
Perimeter = a + b + c + d + e + f
e = 4 (given)
e = f = 4 (tangents drawn from an external point)
b = 10 - f
Substitute
b = 10 - 4
b = 6
b = a = 6 (tangents drawn from an external point)
c = 8 (given)
c = d = 8 (tangents drawn from an external point)
Perimeter = 6 + 6 + 8 + 8 + 4 + 4
Perimeter = 36 units
When y varies inversely with x, we have 
We first find the value of k
When y = 7 and x = 2/3, then
Now we have k = 14/3, we can work out y when x = 7/3
We first find the value of k
When y = 7 and x = 2/3, then
Now we have k = 14/3, we can work out y when x = 7/3