The true statement is Line MK is the perpendicular bisector of LN and ML is ≅ MN.
<h3>What is perpendicular?</h3>
Perpendicular lines are lines that intersect at a right (90 degrees) angle.
Given:
Δ LMN and Δ LKN are connected at side LN.
As per the information,
Line MK is the perpendicular bisector of LN. and ML ≅ MN.
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The percent off the store should display is 27.0%
- The initial percent off given to Matt = 20%
- The additional percent off given to Matt = 7%
The percent off the store should display is the total percent off given to their product. That is, the addition of the first and second percent off.
The total percent off the store gave to Matt is calculated as;
= 20% + 7%
= 27%
To the nearest tenth of a percent = 27.0%
Thus, the percent off the store should display is 27.0%
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Five and three hundred and six thousandths.
It is is a parallelogram, hence we have to face sides equal in length and the opposite angles are also the same. From the given above we have:
ab=14 and its opposite side cd=14
bc=20 and its opposite side da=20
Solving for the diagonal measurement bd, we have consecutive angles are equal to 180°
∠A+∠B=180°
∠A=180°-54°
∠A=126° , ∠B=54° ,∠C=126° and ∠D=54°
bd²=ab²+da²-2(ab)(da)cos126°
bd²=14²+20²-2*14*20cos126°
bd=30.42 unit
Solving for the angle dbc, we have
cos dbc=bc²+bd²-cd²/a*bc*bd
cos dbc=20²+30.42²-14²/2*20*30.42
dbc=21.76°
Step-by-step explanation:
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