2 4
5
The proof that ARST AVST is shown.
What is the missing reason in the proof?
Given: ST is the perpendicular bisector of RV.
Prove: ARST AVST
S
Statements
Reasons
1. ST is the perpendicular 1. given
bisector of RV.
2. STR and 2STV are right 2. def. of perpendicular
angles.
bisector
3. RS VS
3.?
4. ST < ST
4. reflexive property
5. ARST = AVST
5. HL theorem
V
perpendicular bisector theorem
converse of the perpendicular bisector theorem
Pythagorean theorem
SSS congruence theorem
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(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

7

step-by-step explanation:

if e is the midpoint of bd, then bd is 14.

step-by-step explanation: