The figure below shows line t, which intersects segment AB: Segment AB is intersected by line t. Point C is on line t.

In the image above, line t is a perpendicular bisector and angle 4 is congruent to angle 6. Write a paragraph to prove that point C is equidistant from points A and B. (10 points)

Step-by-step explanation:

Given:

Line 't' is a perpendicular bisector of AB.

AD ≅ BD

∠4 ≅ ∠6

To prove:

AC = BC

Construction done:

Completed triangle ABC by joining AC and BC.

Since, AD ≅ BD [Given]

∠4 ≅ ∠6 [Given]

∠ADC ≅ ∠BDC [Supplementary angles of ∠4 and ∠6]

CD ≅ CD [Reflexive property]

ΔACD ≅ ΔBCD [SAS property of congruence]

AC ≅ BC [CPCTC]

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

i got 10.28 but that rounds up to 10.3