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nikitadnepr [17]
3 years ago
8

Use the figure shown to find the missing lengths of the triangle.

Mathematics
1 answer:
podryga [215]3 years ago
6 0
A triangle with two identical angles and one different angle is an isoceles triangle; the two sides across from the identical anlges are the exact same

pythagoren theorem

AB² = AC² + BC²

since this is isoceles and AC is  the same as BC, we can let BC = AC and so

AB² = AC² + AC²
AB² = 2AC²
AC² = AB² / 2
AC = √(AB² / 2)
AC = √( (19√2)² / 2)
AC = √( (19² ·2 ) / 2)
AC = √361

AC = 19 m
and isosceles so BC = 19 m
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Answer:

<h2>The x-interecepts are 5.6 and -1.4, approximately.</h2>

Step-by-step explanation:

The given equation is

5x^{2} -21x=39

Where a=5, b=-21 and c=39, let's use the quadratic formula

x_{1,2}=\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a} =\frac{-(-21) (+-)\sqrt{(-21)^{2} -4(5)(-39)} }{2(5)}\\ x_{1,2}=\frac{21(+-)\sqrt{441+780} }{10}=\frac{21(+-35)}{10}\\x_{1}=\frac{21+35}{10}=\frac{56}{10} \approx 5.6\\  x_{2}=\frac{21-35}{10}=\frac{-14}{10} \approx -1.4

Therefore, the x-interecepts are 5.6 and -1.4, approximately.

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Answer: are they asking for the answer of the dotted line? If so, it might be 5 since it's the dotted line is opposing the side labeled 5cm.

Hope this helps:)

Step-by-step explanation:

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