<h3>Explanation:</h3>
1. PQ║TS, PQ ≅ TS, PT and QS are transversals to the parallel lines . . . given
2. ∠P ≅ ∠T . . . alternate interior angles at PT
3. ∠Q ≅ ∠S . . . alternate interior angles at QS
4. ΔPQR ≅ ΔTSR . . . ASA postulate
_____
You can use any pair of angles together with the sides PQ and TS. If you use the vertical angles and one of ∠T or ∠S, then you must invoke the AAS postulate for congruence, as the side is not between the two angles.
The partial fraction decomposition is 
<h3>How to determine the decomposition?</h3>
The fraction is given as:

Split the fraction as follows:

Take the LCM

Cancel the common factors
8x + 19 = Ax - A + Bx + 8B
By comparison, we have:
Ax + Bx = 8x
-A + 8B = 19
This gives
A + B = 8
-A + 8B = 19
Add both equations
9B = 27
Divide by 9
B = 3
Substitute B = 3 in A + B = 8
A + 3 = 8
Solve for A
A = 5
So, we have:

Hence, the partial fraction decomposition is 
Read more about partial fraction at:
brainly.com/question/12783868
#SPJ1
Answer:
Step-by-step explanation:
1) isosceles= two sides are congruent
2) 9x-13=4x+2
-4x
5x-13=2
+13
5x=15/5
X=3
Answer is c
<u>Answer</u>:
equation: y = x/2
<u>Explanation</u>:
let the points be (-6, -3) , ( 0, 0)
slope: 
: 
: 
Equation using:
y - y1 = m ( x - x1 )
y - - 3 = 1/2( x - - 6 )
y + 3 = x/2 + 3
= 