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alina1380 [7]
3 years ago
6

Mr Thompson please answer. This is hw that is for mathematics Algebra.

Mathematics
1 answer:
ddd [48]3 years ago
6 0

Answer:

question 6:

x^{2} + 9x + 14 and (x + 2) (x + 7)

question 7:

x^{2} - 7x + 10 and (x - 2)(x - 5)

question 8:

x^{2} - 9x + 20 and (x - 4)(x - 5)

question 9:

(x + 1) (x - 17)

x^{2} - 17x + 1x - 17

x^{2} - 16x - 17

question 10:

(x - 1) (x + 17)

x^{2} + 17x - 1x - 17

x^{2} + 16x - 17

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Which similarity statements are true? Check all that apply. △JKL ~ △KML △JKM ~ △JKL △JKM ~ △KML △JMK ~ △JKL △JMK ~ △KML
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The answer:

according to the image, the main theorem concerning right triangle similarity is as follow:
the altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and each other, 

in our case, KL is the altitude, and by applying theorem, we get three triangles that are similar:
therefore:
<span>△JKL ~ △JKM
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