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DENIUS [597]
3 years ago
11

❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

Mathematics
1 answer:
anygoal [31]3 years ago
5 0
Hi there!

Since the triangle is equilateral, all of its sides are congruent. This means that to solve, we can set the two given equations equal to each other.

2(x - 8) = 1/2x + 8
2x - 16 = 1/2x + 8
1.5x - 16 = 8
1.5x = 24
x = 16

Now that we know what x is, we can plug that in for x in the equation for ZY.

2(16 - 8) = ZY
ZY = 2(8)
ZY = 16 units

And here is the work to show that XZ is also 16.

1/2(16) + 8 = XZ
XZ = 8 + 8
XZ = 16

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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Equality Properties

Multiplication Property of Equality

Division Property of Equality

Addition Property of Equality

Subtraction Property of Equality<u> </u>

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<u>Step 1: Define</u>

<em>Identify</em>

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<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Addition Property of Equality] Add 2 on both sides:                                    5x² = -10
  2. [Division Property of Equality] Divide 5 on both sides:                                 x² = -2
  3. [Equality Property] Square root both sides:                                                    x = ±√-2
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