87 x 73 = 6,351
2
87
x 73
____
1
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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<span>C. Subtraction Property of Equality; Multiplication Property of Equality
For the first one, you are subtracting 7 from both sides (step b), to help isolate the y
since you are both subtracting, and "both sides" (meaning there is a equal sign) it is <em>Subtraction Property of Equality.</em>
For the second one, you are multiplying 2 from both sides (step d), to help isolate the y
since you are multiplying, and "both sides" (meaning there is a equal sign), it is <em>Multiplication Property of Equality</em>
hope this helps</span>
