A line <u>bisector</u> is a <em>straight </em>line that <u>divides</u> a given line into two equal parts. Thus the following steps are required by Naomi to show that point D is <em>equidistant</em> from points A and C.
BD ⊥ AC (given)
BD = 3 units, and AC = 8 units.
BD is the <em>perpendicular</em> bisector of <u>segment</u> AC (given)
Thus,
<BDA ≅ <BDC <em>(right</em> angles formed by a <u>perpendicular</u> bisector)
AD ≅ DC <em>(equal</em> parts of a<em> bisected l</em>ine)
AD ≅ DC = 4 units
Thus joining <u>points</u> B to A, and B to C,
BA ≅ BC.
So that applying <em>Pythagoras</em> theorem to ΔABD, we have:
=
+ 
=
+ 
= 
AB = 5 units
So that,
BA ≅ BC = 5 units
Therefore, it can be <u>concluded</u> that point D is <em>equidistant</em> from points A and C.
For more clarifications on a perpendicular bisector of a line, visit: brainly.com/question/929137
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Multiply nominator and denominator by 25:
Answer:
20
Step-by-step explanation:
x^2+18x-160
If you put this into your calculator or desmos, you will get a parabola. You want to know the value of x when y=600. You can look at the table for the graph or scan to where y = 600. The value of x is 20 at that point.
To check you can plug 20 in for x. When you do that, y = 600.