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(85 + 84 + 78 + x) / 4 = 86
(247 + x) / 4 = 86
247 + x = 86 * 4
247 + x = 344
x = 344 - 247
x = 97 <=== her score was 97
The expanded form of the equation is x^4-24x^3+222x^2-240+960
<h3>Expansion of expression</h3>
Given the expression below;
(x-3)(x-5)(x-7)(x-9)+15
Expand
(x-3)(x-5)(x-7)(x-9) + 15
(x^2-5x-3x+15)(x^2-9x-7x+63) +15
(x^2-8x+15)(x^2-16x+63) + 15
Expand further to have;
x^4-16x^3+63x^2-8x^3+144x^2-504+15x^2-240x+945+15
x^4-24x^3+222x^2-240+960
Hence the expanded form of the equation is x^4-24x^3+222x^2-240+960
Learn more on expansion here: brainly.com/question/29114
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The answer:
<span>the two triangles are similar
in addition, the line UV is parallel to line BC, so we can use the theorem of Thales for proving the following ratios:
AV /AC = AU/ AB= UV/ BC
372/589=20x +80 / AB = 444 / 703
</span>so we get (372/589) AB - 80 = 20x, and x = ( (372/589) AB - 80 ) / 20
exact value of x depends on the value of AB
