The measure of EB is _[blank A]_ units by the _[blank B]_. Thus, BC must measure _[blank C]_ units.

Match each blank with the number or theorem that correctly fills in that blank.

Blank A:

Blank B:

Blank C:

Possible Answers:
40
80
100
60
Converse of triangle proportionality theorem

Triangle Proportinality theorem

(A)60

(B)Triangle Proportionality theorem

(C)100

Step-by-step explanation:

Triangle Proportionality theorem

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

By this theorem, In the given triangle ABC,

|BC|=|EB|+|CE|

=60+40

|BC|=100 Units

Therefore:

The measure of EB is 60 units by the Triangle Proportionality theorem. Thus, BC must measure 100 units.

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step-by-step explanation:

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answer: the answer is 127 degrees