The answer is: "123454321"
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Answer:
In the given two column proof two sides and included angles are equal.
Triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles .In the figure sides BD≅BD , AB≅ BC and <ABD ≅,BDD Therefore triangle ABD and triangle CBD are congruent by SAS property of congruence.
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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Answer:
all are Not Equivalent
Step-by-step explanation:
The coefficient of t³ in the target expression is -3. In order for that to be the result of simplifying any of the given expressions, they must have ( )^(t^3) in the denominator. None do, so none of the offered choices is equivalent to the given expression.
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The expressions simplify like this:
![\dfrac{(2^3)^{t^3}}{2^{5t}}=2^{3t^3-5t}\\\\\dfrac{8^{t^3}}{32^t}=2^{3t^3-5t}\\\\8^{t^3}\cdot32^t=2^{3t^3+5t}](https://tex.z-dn.net/?f=%5Cdfrac%7B%282%5E3%29%5E%7Bt%5E3%7D%7D%7B2%5E%7B5t%7D%7D%3D2%5E%7B3t%5E3-5t%7D%5C%5C%5C%5C%5Cdfrac%7B8%5E%7Bt%5E3%7D%7D%7B32%5Et%7D%3D2%5E%7B3t%5E3-5t%7D%5C%5C%5C%5C8%5E%7Bt%5E3%7D%5Ccdot32%5Et%3D2%5E%7B3t%5E3%2B5t%7D)
What exactly is the question here?