The value of x in the secants intersection is 1 units
The value of NM in the tangent and secant intersection is 51 units
<h3>How to find length when secant and tangent intersect?</h3>
The first question, two secant intersect outside the circle.
Therefore,
(6x + 8x)8x = (9 + 7)7
14x(8x) = 16(7)
112x² = 112
x² = 112 / 112
x = √1
x = 1
The second question, tangent and secant intersect,
Therefore,
(x + 3)² = (x - 3)(16 + x - 3)
(x + 3)² = (x - 3)(x + 13)
(x + 3)(x + 3) = (x - 3)(x + 13)
x² + 3x + 3x + 9 = x² + 13x - 3x - 39
x² + 9x + 9 = x² + 10x - 39
x² - x² + 9x - 10x = -39 - 9
-x = - 48
x = 48
NM = 48 + 3 = 51 units
learn more on secant and tangent here: brainly.com/question/12477905
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The rates that are equivalent to this rate is 90 pages/hr
<h3>Rate of change</h3>
The rate is the number of pages Michael read in 1 hour.
If he read 135 pages in 1 1/2 hours then;
To determine the rate, we will have:
Divide both expressions:
135/x = 1.5/1
1.5x = 135
x = 135/1.5
x = 90
Hence the rates that are equivalent to this rate is 90 pages/hr
Learn more on rate here: brainly.com/question/119866
C is 12 and x is 3 and that would be your variables
