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Justify the last two steps of the proof.
 Given RS=UT and RT=US
 Prove
 RS=UT given
 RT=US given
 ST=TS ______
_____ 

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Nestor Rutherford
Nestor RutherfordLv2
24 Apr 2020

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what is the missing step in this proof?

(A)Statement: The slope of The slope of

Reason: Definition of the slope.

(B)Statement: The slope of  The slope of 

Reason: Transitive property of equality.

(C)Statement:

Reason: Corresponding sides of congruent triangles are congruent.

(D)Statement:

Reason: ASA(angle-side -angle).

Done


Given: ΔABC (view diagram )
Prove: A midsegment of ΔABC is parallel to a side of ΔABC.

Statement Reason
(Steps 1−5)
6. AC ∣∣∣∣ DE definition of parallel lines
7. Let F be the midpoint of AC¯¯¯¯¯. defining a midpoint
8. F=(x1+x32,y1+y32) definition of midpoint
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10.
11. DF ∣∣∣∣ BC definition of parallel lines
12. Similarly, EF is parallel to AB. steps similar to steps 1−11

what is the missing step in this proof?

(A)Statement: The slope of  The slope of 

Reason: Definition of the slope.

(B)Statement: The slope of  The slope of 

Reason: Transitive property of equality.

(C)Statement:  

Reason: Corresponding sides of congruent triangles are congruent.

(D)Statement: 

Reason: ASA(angle-side -angle).

Done


Given: ΔABC (view diagram )
Prove: A midsegment of ΔABC is parallel to a side of ΔABC.

Statement Reason
(Steps 1−5)
6. AC ∣∣∣∣ DE definition of parallel lines
7. Let F be the midpoint of AC¯¯¯¯¯. defining a midpoint
8. F=(x1+x32,y1+y32) definition of midpoint
9. slope of DF = y1+y32−y1+y22x1+x32−x1+x22 = y3−y2x3−x2
the slope of BC = y3−y2x3−x2 definition of slope
10.
11. DF ∣∣∣∣ BC definition of parallel lines
12. Similarly, EF is parallel to AB. steps similar to steps 1−11

You have the option to take one of two pain-killing drugs, but you hate taking drugs and wish to choose the one that stays in your system longer. The concentration of pain-killing drug A in the bloodstream, t hours after it is taken orally, is given by the expression
 
 

The concentration of pain-killing drug B in the bloodstream, t hours after it is taken orally, is given by the expression
 

Which drug is the better choice for you? Justify your answer.

 

 

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