Step-by-step explanation:
every triangle inscribed into a circle with the baseline being a diameter of the circle must be a right-angled triangle.
therefore,
angle XVY = 90°.
for VY we can use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the line opposite of the 90° angle, in our case XY).
XY = 2×ZY = 2×17 = 34.
so,
34² = 30² + VY²
VY² = 34² - 30² = 1156 - 900 = 256
VY = 16
297 is the sum of F and 211
297 = f+211
They are vertical angles, thus they are equal to each other:
5x + 12 = 6x - 10
22 = x
x = 22
As it is proved that the equation has no solution, Derick is correct
Step-by-step explanation:
Given

We have to solve the equation in order to check if Derick was solved the equation correctly or not.
So,
Applying distributive property first

As the variable is already cancelled in the equation there is no unique solution.
In order for an equation to have infinite solutions the constant on both sides of equation should be same which is not the case in the given equation
So,
As it is proved that the equation has no solution, Derick is correct
Keywords: Linear equations, variables
Learn more about linear equations at:
#LearnwithBrainly