Question

If ZLKN = 68°, which of the following statements is true: (53-2y) (95-3y) We need more information to determine if KM is a bisector of ZLKN KM is a bisector of ZLKN KM is a perpendicular bisector of ZLKN KM is not a bisector of ZLKN​

Answer 1

To evaluate the given statement, we need to determine the value of y by solving the equation (53-2y) (95-3y) = 68. Once we have the value(s) of y, we can substitute it back into the given statement.

Therefore, the correct answer is: option "We need more information to determine"

Step-by-step explanation:

First, we need to determine the value of y in order to evaluate the given statement. Since we know that ZLKN is equal to 68°, we can equate it to the expression given: (53-2y) (95-3y).

By setting this expression equal to 68 and solving for y, we can determine the value of y and then evaluate the statement.

Let's solve the equation:

(53-2y) (95-3y) = 68

Expanding the expression gives us:

5035 - 359y + 6y^2 = 68

Rearranging the equation gives us a quadratic equation:

6y^2 - 359y + 5035 - 68 = 0

Simplifying further:

6y^2 - 359y + 4967 = 0

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Once we have the value(s) of y, we can substitute it back into the given statement to determine which of the options is true.

Therefore, we need more information to determine the validity of the given options.