-0.4x=2.5 divide both sides by -0.4
x=-6.25
The correct answer is option B which is we need ∠L ≅ ∠R to prove congruency.
<h3>What is congruency?</h3>
The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.
According to the SAS theorem which means Side Angle Side, The angle which is included between the two sides must be congruent.
Here we are given that
KL = NR
JL = MR
Now in the figure, we can clearly see that the angle included between JL & KL is L & the angle included between NR & MR is R.
So for the triangles to be congruent by SAS, angle L must be congruent to angle R.
∠L=∠R
Therefore the correct answer is option B which is we need ∠L ≅ ∠R to prove congruency.
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The given lines are perpendicular to each other.
Further explanation:
Given lines are:
Line 1: y= -9/5x + 1/5
Line 2: y= 5/9x + 2/9
As the lines are in slope=intercept form, the co-efficient of x are their slopes
Let m1 be the slope of line 1 and m2 be the slope of line 2
Then

As we can see that the product of slopes of both lines is -1. The product of slopes of perpendicular lines is -1.
The given lines are perpendicular to each other.
Keywords: Slope, slope-intercept form
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