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!
The given question is a quadratic equation and we can use several methods to get the solutions to this question. The solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4
<h3>Quadratic Equation</h3>
Quadratic equation are polynomials with a second degree as it's highest power.
An example of a quadratic equation is

The given quadratic equation is 
Let's rearrange the equation

This implies that
The equation or formula of quadratic formula is given as

We can substitute the values into the equation and solve

From the calculations above, the solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4
Learn more on quadratic equation here;
brainly.com/question/8649555
#SPJ1
Answer:
A) 21
Step-by-step explanation:
Mean:
(23 + 18 + 24 + 15 + 25)/5
105/5
21
The correct answer is actually choice D.