Beverly drew the line AB shown below. She then constructed line DC which is the perpendicular bisector of AB.
1 answer:
Answer:
D
Line segments are congruent due to the side-angle-side congruence postulate.
Step-by-step explanation:
DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:
AE = BE
Also DE ≅ DE (reflexive property of congruence)
Also ∠AED = ∠BED = 90° (perpendicular bisector)
We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD
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ANSWER
Paul and Matt will take
to install the floor working together.
EXPLANATION
First, calculate Paul's rate, which is
Next, calculate Matt's rate, which is,
Let us assume that, Paul and Matt took
to do the work together.
Then, the rate of working together is,
Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.
Simplify the left hand side
We reciprocate both sides to get (You could have also done cross multiplication).
Paul and Matt will take
to install the floor working together.
EXPLANATION
First, calculate Paul's rate, which is
Next, calculate Matt's rate, which is,
Let us assume that, Paul and Matt took
to do the work together.
Then, the rate of working together is,
Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.
Simplify the left hand side
We reciprocate both sides to get (You could have also done cross multiplication).