Answer:
Step-by-step explanation:
<u>Given</u>
<u>Solving by substitution</u>
- 2x + (x - 4) = 2
- 3x - 4 = 2
- 3x = 6
- x = 2
<u>Then finding y</u>
Intersection point is (2, -2)
The midpoint is calculated by averaging the coordinates of its endpoints:

Now we can use the usual distance formula to get the length of SM:

Step-by-step explanation:
RS bisects PQ at T. PQ bisects RS at T.
<u>prove</u>: Triangle PTS congruent Triangle QTR
<h3>Statements..............................Reasons</h3>
(1) RS bisects PQ at T.................(1) Given
(2) PQ bisects RS at T.................(2) Given
(3) angle PST ≅ angle QRT........(3) supplements of congruent angles
(4) TS ≅ TR......................(4) Converse of Base Angles Theorem
(5) angle PTS ≅ angle QTR.........(5) Subtraction Property of Equality
(6) Triangle PTS ≅ Triangle QTR...(6) Angle side angle
Hope it's help you..... ^_^❤️