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morpeh [17]
3 years ago
5

Someone please help me I don’t know this :(

Mathematics
1 answer:
Shalnov [3]3 years ago
4 0

9514 1404 393

Answer:

  x = 10; WX = 5; HJ = 10

Step-by-step explanation:

The hash marks indicate that points W and X are midpoints of their respective segments. That makes WX a midline of the triangle. The midline is always half the length of the base (HJ). We can use this fact to write an equation relating the lengths.

  HJ = 2·WX

  x = 2(x -5) . . . .substitute the given expressions

  x = 2x -10 . . . . eliminate parentheses

  10 = x . . . . . . . add 10-x to both sides

This value of x tells you that ...

  HJ = x = 10

  WX = x -5 = 5

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Solve for x use the completing the square method x^2+6x=5
Mrac [35]

Answer:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

Step-by-step explanation:

x^{2}+6x-5=0

we divide the coefficient of the X by half :

in this case: 6/2 = 3 , then we do the following

The result obtained is raised to square power:  3^2=9

we sum and subtract by 9 to maintain the balance of the equation:

x^{2}+6x+9-9-5=0

we have:

(x+3)^{2}-9-5=0

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lets apply square root on both sides of the equation:

\sqrt{(x+3)^{2}}=\sqrt{14}

we know:

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so we have:

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finally we have:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

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