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maria [59]
1 year ago
9

Line I is a perpendicular bisector

Mathematics
1 answer:
kolezko [41]1 year ago
4 0

Line I is a perpendicular bisector because it bisects another line at right angles via the point of intersection or midpoint. See the Perpendicular Bisector Theorem below.

<h3>What is the perpendicular bisector theorem?</h3>

According to the theorem of perpendicular bisector, any locus on the perpendicular bisector is equidistant from the terminal points of the line segment on which it is created.

Thus, Line I is a perpendicular bisector because it bisects another line at right angles via the point of intersection or midpoint. See the attached image.

Learn more about perpendicular bisectors at:
brainly.com/question/11006922
#SPJ1

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Simplify the expression below.<br> 12b + 86 + 5b<br> 0 25 + b<br> O 25(3b)<br> 25b<br> 3b
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STEP

1

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Equation at the end of step 1

                    ((25•(b-1))•(c-3))

 (((12•(b4))•(c-6))•——————————————————)•((2•5b(-5))•c)

                     ((15•(b3))•(c4))

STEP

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Equation at the end of step

2

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                    ((25•(b-1))•(c-3))

 (((12•(b4))•(c-6))•——————————————————)•(2•5b(-5)c)

                       ((3•5b3)•c4)  

STEP

3

:

Equation at the end of step

3

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                    (52b(-1)•c(-3))

 (((12•(b4))•(c-6))•———————————————)•(2•5b(-5)c)

                       (3•5b3c4)  

STEP

4

:

           52b(-1)c(-3)

Simplify   ————————————

            (3•5b3c4)  

Dividing exponential expressions :

4.1    b(-1) divided by b3 = b((-1) - 3) = b(-4) = 1/b4

Dividing exponential expressions :

4.2    c(-3) divided by c4 = c((-3) - 4) = c(-7) = 1/c7

Dividing exponents:

4.3    52   divided by   51   = 5(2 - 1) = 51 = 5

Equation at the end of step

4

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                      5  

 (((12•(b4))•(c-6))•—————)•(2•5b(-5)c)

                    3b4c7

STEP

5

:

Equation at the end of step

5

:

                         5  

 (((22•3b4) • c(-6)) • —————) • (2•5b(-5)c)

                       3b4c7

STEP

6

:

Canceling Out :

6.1    Canceling out b4 as it appears on both sides of the fraction line

Dividing exponential expressions :

6.2    c(-6) divided by c7 = c((-6) - 7) = c(-13) = 1/c13

Canceling Out:

6.3      Canceling out  3  as it appears on both sides of the fraction line

Equation at the end of step

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  20

 ——— • (2•5b(-5)c)

 c13

STEP

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Multiplying exponents:

7.1    22  multiplied by  21   = 2(2 + 1) = 23

Multiplying exponents:

7.2    51  multiplied by  51   = 5(1 + 1) = 52

Dividing exponential expressions :

7.3    c1 divided by c13 = c(1 - 13) = c(-12) = 1/c12

Final result :

  200

 —————

 b5c12 Answer:

Step-by-step explanation:

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