3 years ago

What is the value of x? A. 5 B. 8.7 C. 11.5 D. 20 AND MAKE SURE YOU EXPLAIN IT!

Mathematics

1 answer:

AlekseyPX3 years ago

8 0

D. 20 it's a 30-60-90 degree triangle so because the length of the hypotenuse is twice the length of the shortest leg

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What is the midpoint of a segment with endpoints at (−4, −8) and (8, 10)? A.(−6, −9) B.(−6, 1) C.(2, −9) D.(2, 1)

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$\text{The formula of the midpoint of segment AB:}\\\\\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right).\\\\\text{We have the points}\ A(-4,\ -8)\ \text{and}\ B(8,\ 10).\ \text{Substitute:}\\\\x=\dfrac{-4+8}{2}=\dfrac{4}{2}=2\\\\y=\dfrac{-8+10}{2}=\dfrac{2}{2}=1\\\\Answer:\ \boxed{D.\ (2,\ 1)}$