A line bisector is a straight line that divides a given line into two equal parts. Thus the following steps are required by Naomi to show that point D is equidistant from points A and C.

BD ⊥ AC (given)

BD = 3 units, and AC = 8 units.

BD is the perpendicular bisector of segment AC (given)

Thus,

<BDA ≅ <BDC (right angles formed by a perpendicular bisector)

AD ≅ DC (equal parts of a bisected line)

AD ≅ DC = 4 units

Thus joining points B to A, and B to C,

BA ≅ BC.

So that applying Pythagoras theorem to ΔABD, we have:

$/hyp/^{2}$ = $Adj 1^{2}$ + $Adj 2^{2}$

$AB^{2}$ = $3^{2}$ + $4^{2}$

= $\sqrt{25}$

AB = 5 units

So that,

BA ≅ BC = 5 units

Therefore, it can be concluded that point D is equidistant from points A and C.

For more clarifications on a perpendicular bisector of a line, visit: brainly.com/question/929137

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3 0

2 years ago

Convert 17/4 to a decimal

Gelneren [198K]

Multiply nominator and denominator by 25:

$\dfrac{17}{4} = 4 \dfrac{1}{4}=4 \dfrac{1 \cdot 25}{4 \cdot 25}=4 \dfrac{25}{100}=4.25$

7 0

3 years ago

Allison is saving money to buy a new phone that costs $600 by selling her graphic designs. She is using an app to manage her sal

irinina [24]

Answer:

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.

8 0

2 years ago

-7p^ 3(4p ^2 + 3p - 1)

nordsb [41]

How do u do that ???

3 0

3 years ago

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