The flowchart shown below shows the sequence of steps to prove the theorem: Opposite angles of a parallelogram are equal:

PQ is parallel
to SR
Definition of
parallelogram
Angle 1 is
equal to angle 2
Alternate interior angles
PQRS is a
parallelogram
Given
Triangle PQS is
congruent to ROS
ASA postulate
PS is parallel
to QR
Definition of
parallelogram
Reflexive property
Angle 4 is
equal to angle 3
Alternate interior angles
Angle 5 is
equal to angle 6
CPCTC

Which is the missing statement? (6 points)

1) Angle 5 is equal to angle 5

2) Angle 5 is equal to angle 6

3) PS = QR

4) SQ = SQ

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

It is 2 out of 8 she will pick green and 3 out of 7 she will pick green but red and green would be 5 out of 5 so 50% chance

32.10 is the correct answer