Answer:
The value of k is 6
Step-by-step explanation:
we know that
If two segments are parallel, then their slopes are the same
we know that
The formula to calculate the slope between two points is equal to
step 1
Find the slope MN
we have
M(0, −3), N(−2, −4)
substitute

step 2
Find the slope AB
A(2, 5), B(4, k)
substitute in the formula
Remember that the slopes MN and AB must be equal

Solve for k


therefore
The value of k is 6
7-11x= -114
Subtract 7 from -114 = -121
Divide -121 by -11 = 11
x=11
The tangent ratio is a tool used with right triangles that allows one to find the length of the sides of a triangle given the degree of its angles. It can also be used to find the degrees of its angle given the length of two of its sides
Common factor that can be multiplied to get that product