You can use trigonometry specially the cos rule in this case. I can’t send the other pictures. But using the cos rule you can check whether the angle is 90
Answer:

Step-by-step explanation:
P, A, and R are collinear.
PR = 54


To solve for the numerical length of PR, let's generate an equation to find the value of x.
According to the segment addition postulate:

(substitution)
Solve for x

Combine like terms


Add 2 to both sides


Divide both sides by 7



Plug in the value of x into the equation


The correct answer is B)
I hope this helps.
Have a "AWESOME" day! :)
Answer: f(x) = x-7
explanation: the function is already being translated down 5, so subtracting 2 more units leaves you with this new equation
Answer:
x = 12
y = 6√3
Step-by-step explanation:
✅Apply the intersecting secant theorem to find x. Thus:
6(6 + x) = 7(7 + 8³/7)
Convert the mixed fraction to improper fraction
6(6 + x) = 7(7 + 59/7)
36 + 6x = 49 + 59
36 + 6x = 108
6x = 108 - 36
6x = 72
Divide both sides by 6
x = 72/6
x = 12
✅Apply the tangent-secant theorem to find y. Thus:
y² = 6(6 + x)
Plug in the value of x
y² = 6(6 + 12)
y² = 6(18)
y² = 108
y = √108
y = 6√3