Question

Lines u and v form 4 angles that each measure 90 degrees. The points (4, 7) and (8, 23) are on line u. The points (68, 16) and (40, t) are on line v. What is the value of t

Answer 1

Value of t = 23  

Step-by-step explanation:

Lines u and v form 4 angles that each measure 90 degrees.

=> u & v line are perpendicular to each other

The points (4, 7) and (8, 23) are on line u

=> Slope of line u  = (23 - 7)/(8 - 4)

= 16/4

= 4

The points (68, 16) and (40, t) are on line v

=> Slope of v = (t - 16)/(40 - 68)

= (t - 16)/(-28)

=> (16 - t)/28

Slope of u * slope of v = -1

=> 4 * (16 - t)/28 = - 1

=> 16 - t = -7

=> t = 23

Value of t = 23

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