Aconjecture and a portion of the flowchart proof used to prove the conjecture are shown. which equation best represents the information that should be in the box labeled 1? 3x = 9 3x = 26 3x = 27 3x = 30

The correct option is 3.

Step-by-step explanation:

Given: , .

Prove:

            (Given)

            (Segment congruent postulate)

                        (Substitution property of equality)

Add 1 on both sides.

         (Addition property of equality)

Divide both sides by 3.

              (Division property of equality)

Hence proved.

The required equation for box 1 is 3x=27.

Therefore the correct option is 3.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

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step-by-step explanation:

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