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Mariana [72]
3 years ago
7

Points J and K are midpoints of the sides of triangle FGH. What is the value of y?

Mathematics
2 answers:
sashaice [31]3 years ago
7 0
The answer 

the complement of the question is 

What is the value of y?

2
5
7
<span>8
</span>
According to the image, HKJ and FGH are similar, we can apply the theorem of thales
since GK and GF are parallels, so 

HK / HF = HJ / HG = KJ / GF and as we see on the figure, HK = HF /2, this implies  2HK =HF

HK / 2HK =  KJ / GF  it is equivalent to   1/2 = 2y+5 / 5y +3 

likewise, equivalent to  5y +3  = 4y +10, 5y-4y = 10-3, and y = 7


so the answer is 7




Oksanka [162]3 years ago
7 0

Answer:7

Step-by-step explanation:

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5 0
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Given the midpoint (1.5,1.5) and the endpoint (5,7) where is the other endpoint located
earnstyle [38]

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M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)

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Substitute

\dfrac{5+x_B}{2}=1.5\qquad|\cdot2\\\\5+x_B=3\qquad|-5\\\\x_B=-2\\\\\dfrac{7+y_B}{2}=1.5\qquad|\cdot2\\\\7+y_B=3\qquad|-7\\\\y_B=-4

<h3>Answer: (-2, -4)</h3>
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Step-by-step explanation:

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