To prove the QRST is a parallelogram.
Step 1: Given and
Step 2: are alternate interior angles.
Definition of alternate interior angles
Step 3: Alternate interior angle theorem:
If two parallel lines cut by a transversal then the alternate interior angles are congruence.
QR and TS are parallel lines cut by QS.
Therefore,
Step 4: Reflexive property of congruence:
Any geometric figure is congruence to itself.
Therefore,
Step 5: By the above steps
(Angle), (Angle) and (Side)
Hence (by ASA congruence theorem)
Step 6: Corresponding parts of congruence triangles are congruent.
Step 7: Property of parallelogram:
If one pair of opposite sides are both parallel and congruent, then the quadrilateral is a parallelogram.
Hence Quadrilateral QRST is a parallelogram.
It took Mason 9.4 - 2.65 = 6.75 minutes to complete the Second Challenge.
Answer:
The answer to your question is: y = 7
Step-by-step explanation:
Find y when x = -5
-3x – 3y = -6
-3(-5) - 3y = -6
15 - 3y = -6
- 3y = -6 - 15
-3y = -21
y = -21/-3
y = 7
8/4 is the biggest fraction. 4 goes into 8, 2 times.
Answer:
this basically means that whenever x is increased then y will decrease, but if x is decreased y will increase.
Step-by-step explanation: