SamD's Blog

Geometry Spring Week 8

2011-04-10T10:07:00.000-07:00

Chapter 15

4) 24 un. squared
5) (x-1)^2 + (y+2)^2 = 9
6)a. (-1,1)
b. 5
c. Yes, OK = 5
12)a. Collinear
b. Noncollinear
c. Collinear
16)a. y = 7
b. y = 3-x
c. x = 6
d. y = 1-4x
17)a. y = 2
b. x = -5
24) x^2 + (y-9)^2 = 25

Geometry Spring Week 7 Answer Key

2011-03-28T20:55:00.000-07:00

Chapter 14

1)#1
6)60
7)35sqrt(3)
9)9sqrt(3)
10)104
11)52
12)17.5
13)162
14)52+36sqrt(3)
15)a. 8
b. 2sqrt(11)
c. about 3.04
20)5
21)a. 9/11
b. 55
23)45
26)12
33)47
37)about 161.4
41)260
54)4sqrt(3)

Geometry Spring Week 6 Answer Key

2011-03-28T20:53:00.000-07:00

Chapter 13

5)14
6)1 or 21
7)18
8)2
13)5
14)12
19)9pi
20)about 40
25)2.7

Geo Spring Week 5 Answer Key

2011-03-04T21:09:00.000-08:00

Chapter 13

5. 14
6. 1 or 21
7. 18
8. 2
13. 5
14. 12
19. 9pi
20. about 39.986
25. 2.7

Geo Spring Week 3 Answer Key

2011-03-04T20:46:00.000-08:00

Chapter 12

1. 66 degrees
2. 52.5 degrees
3. 25 degrees
4. 66 degrees
5. 12.5 degrees
6. 38 degrees
7. 66 degrees
8. 61 degrees
9. 24 degrees
10. 75 degrees
11a. 36 degrees
11b. 30 degrees
12. 26 degrees
17. x=82, y=59, z=39

Geometry Spring Week 1 Answer Key

2011-02-03T19:17:00.000-08:00

4a) x=24
4b) x=10 or -10
4c) x=47/8
4d) x=5
43) x=7 or -3

8a) Yes
8b) Yes
8c) No
8d) No
8e) Yes

9a) HG=15
9b) HW=4
9c) KH=7
9d) WG=24
9e) KH=3, KE=9

14) One polygon has side length 12, the other 27.

15a) JB=12 RA=8
15b) TS=14 LK=17.5
15c) ST=10 KL=16
15d) SU=5 x=9

16) 2.Parallel
3.Line parallel to one side divides other 2 sides proportinally (post. 10.1)
4.Substitution
5.Corresponding Angles
6.Given
7.Transitive
8.Since two angles of triangle are congruent, the other angle must be congruent.
9.ASA
10.CPCTC
11.Substitution

Geometry Spring Week 2 Answer Key

2011-02-03T19:15:00.000-08:00

Chapter 11

3) r=16 s=9 t=15

11) 8

13) 24

15) 20/3

18) 5sqrt(3)

23a) 4
23b) 4sqrt(3)
23c) 4/sqrt(2) or 2sqrt(2)

Fall Semester Review Answers

2010-11-29T20:25:00.000-08:00

Note: Not fully completed but it is what I have so far. Have 3 tests this week so the whole thing will probably be posted on Friday.

1)a-F
b-F
c-F
d-T
e-F
f-F
g-F
h-F

2)a- isosceles
b- parallelogram
c- AD,BC or AB,CD
d- rectangle
e- BD
f- rectangle

3)1-DCE
2-Given
3-Given
4-Reflexive Property
5-DCE, SSS
6-DCE, CPCTC
7-ADC
8-Given
9-Reflexive Property
10-ACD, Supplementary to congruent angles
11-ADC, SAS
12-DAC, CPCTC
13-BAC=DAC

4)TBP

5)Statements-1)Givens 2)BA=BE 3)BA=CD 4)BE=CD 5)Ang.EFB=Ang.DFC 6)Ang.BEF=Ang.CDF
7)Tri.BEF=Tri.CDF 8)EF=FD
Reasons- 1)Given 2)Definition of midpoint 3)Definition of parallelogram
4)Substitution property 5)Vertical Angles are congruent 6)Alternate Interior Angles
are congruent 7)AAS Postulate 8)CPCTC

Swim Workout 15

2010-11-12T19:44:00.000-08:00

Warmup: 400 choice

8 x 25s-underwater dolphin kick to 15m all-out on :45

2x(1 time free, 1 stroke):
[3 x 200s- kick on 4:30
4 x 100s- heart rate 150]

20 x 50s- 3 breaths per 50 on 1:00

100 cooldown

Swim Workout 14

2010-11-09T07:48:00.000-08:00

Warmup: 5 x 100s- 1 swim, 1 kick, 1 IM, 1 pull, 1 swim

4 x 100s IM on 1:40- Odds- drill
Evens- swim

3 x 100s kick on 1:50- Stroke

2 x 100s free swim on 1:30

5 x 200s- Descend 1-5 on 3:00

8 x 75s- First 50 IM stroke in reverse IM order, last 25 is free.

100 easy

Swim Workout 13

2010-11-09T07:44:00.000-08:00

Warmup: 500 free (100 free, 100 back, 100 free, 100 breast, 100 free)

6 x 100s- 50 kick, 50 swim (1 fly, 1 back , 1 breast - twice through)

4x (4 x 25s Odds- 8 underwater dolphin kick then swim
Evens- Sprint no breather
3 x 50s- mid-pool turns)

4x (3 x 200s- broken in to 50s w/ 10 second rest. Descend 1-3.
100 all-out off start) 2 times through free, 2 times through stroke.

100 easy

Geometry Fall Week 8 HW Answer Key

2010-11-04T22:19:00.000-07:00

Note: I made a typo. You do not need to do #24. As usual, if you find any errors, please let me know.

3. Square

4. (1)

9. EF = 19
RT = 38

10a. BE = 83/2
YT = 57/2

10b. YT = 45
LM = 41
BE = 47

13. Statements- 1)Givens2)BA=CD 3)Ang.BAE=Ang.DCF 4)Tri.BAE=Tri.CFD 5)Ang.ABE=Ang.CDF
Reasons- 1)Given 2)Theorem 9.4- Opposite sides of a parallelogram are congruent
3)Theorem 9.3 or Alternate interior angles 4)SAS postulate 5)CPCTC

15. Statements- 1)Givens 2)BA=CD 3)AB=BE 4)BE=CD 5)Ang.EFB=Ang.DFC 6)AD//BC
7)Ang.EBF=Ang.DFC 8)Tri.DFC=Tri.EBF 9)EF=FD
Reasons- 1)Given 2)Theorem 9.4 3)Definition of midpoint 4)Substitution
5)Vertical angles are congruent 6)Definition of a parallelogram
7)Alternate interior angles 8)AAS postulate 9)CPCTC

20. Statements- 1)Givens 2)Ang.B=Ang.D 3)Ang.SBR=Ang.SDR 4)Ang.A=Ang.C
5)Ang.CSD=Ang.ARB 6)Ang.BRD=Ang.DSB 7)BRDS is a parallogram
Reasons- 1)Given 2)Theorem 9.2- Opposite angles in a parallelogram are congruent
3)Halves of congruent angles are congruent 4)Theorem 9.2
5)In a triangle, if two angles are congruent then the third must be congruent
6)Supplements of congruent angles are congruent 7)Definition of a
parallelogram

26) Statements- 1)Givens 2)AW//TC 3)BC//WT 4)AC//WT 5)WACT is a parallelogram
Reasons- 1)Given 2)Segments of parallel lines are parallel 3)Theorem 9.12
4)Extensions of parallel lines are parallel 5)Definition of a
parallelogram

+6/21

Geometry Fall Week 6 HW Answer Key

2010-11-02T15:35:00.000-07:00

As usual, let me know if there are any errors.
Week 6 answer key:
1) SAS or ASA(do not use SSA)

2) Median line should go from one point and bisect the line across from that point.

3) In book(chapter 7 pg.134).

4) Note: Change “One side” to vertex length. The other two sides are 22.5 cm (only one possibility).

5) 40 degrees.

6) 120 degrees for the upmost and bottom angle. The rest are 30 degrees.

7) a- Yes. B- No.(AAA) c- No.(SSA) d-Yes.

8) Smallest- angle C. Largest- angle A.

9) The side across the 80 degree is longest. The side across 50 degrees is smallest.

10) BC < AC < AB

11) 7

12) 19

Proofs
1) Statements- 1)Givens 2) angle QLM = angle QML 3) angle QLM = angle QPR and angle
QML = angle QRP 4) angle QPR = angle QRP
Reasons- 1) Given 2) base angle theorem 3) corresponding angles 4) substitution
or definition of isosceles triangle

2) Statements- 1)Given 2) BC = BC 3) triangle ACB = triangle DBC 4) angle 1 = angle 2
Reasons- 1) given 2)Reflexive property 3) hypotenuse leg postulate 4) CPCTC

3) Not graded. :D

4) 1) BD bisects angle ABC
2) Definition of Bisector
3)Measure of exterior angle is greater than measure of nonadjacent interior
angles
4) Measure of angle greater than measure of angle 1
5) AB greater than AD

+3/27

Geometry Fall Week 7 HW Answer Key

2010-11-02T15:21:00.000-07:00

Students, if you find any errors let me know. The formatting also didn't come out how I liked it. Note: #19 should be JR instead of JK. Proofs out of 3 points- 1 for attempt, 1 for being logical, 1 for correct answer.

Ch.6
14. Statements- 1)Givens 2)BM=ME 3)AM=DM 4) Tri.ABM=Tri.DEM
Reasons- 1)Given 2)Definition of midpoint 3)Substitution 4)SSS postulate

15. Statements- 1)Givens 2)Angle1=Angle2 3)Ang.2=Ang.A 4)Angle1=AngleD
5)Ang.A=Ang.D 6)Ang.AMB=Ang.DME 7)BM=ME 8)Tri.ABM=Tri.DBM
Reasons- 1)Given 2) Definition of angle bisector 3)Alternate interior angles
4)Alternate interior angles 5)Substitution 6)Complements of congruent
angles are congruent 7)Definition of bisector 8)AAS postulate

16. Statements- 1)Givens 2)Ang.BDC=Ang.AFC 3)Ang.C=Ang.C 4)Tri.AFC=Tri.BDC
Reasons- 1)Given 2)Perpendicular angles are congruent 3)Reflexive property 4)ASA
postulate

19. Statements- 1)Givens 2)Ang.KLG=Ang.JRG 3)Ang.G=Ang.G 4)Tri.KLG=Tri.JRG
Reasons- 1)Given 2)Perpendicular angles are congruent 3)Reflexive property
4)AAS postulate

+5/12

Ch.7
4A)76
4B)20
4C)40
4D)32
4E)16
4F)36

8. Statements- 1)Givens 2)PS=PK 3)Ang.P=Ang.P 4)Tri.KXP=Tri.JPY 5)KX=JY
Reasons- 1)Given 2)Addition property 3)Reflexive property 4)SAS postulate 5)CPCTC

15. Statements- 1)Givens 2)Ang.RTL=Ang.RSL 3)RL=RL 4)Tri.RLS=Tri.RLT
Reasons- 1)Given 2)Perpendicular angles are congruent 3)Reflexive property
4)Hypotenuse Leg Theorem

23. Statements- 1)Givens 2)Ang.1=Ang.2 3)Ang.3=Ang.4 4)Tri.KOV=Tri.VLZ 5)KV=VZ
6)Tri.KVL is isosceles
Reasons- 1)Given 2)Base angles theorem 3)Supplement of congruent angles are
congruent 4)SAS postulate 5)CPCTC 6)Definition of isosceles triangle

24. Statements- 1)Givens 2)HJ=JL 3)Ang.HJB=Ang.KJL 4)Tri.BLH=Tri.KJL 5)JB=JK
Reasons- 1)Given 2)Base angles theorem 3)Vertical angles are congruent 4)ASA
postulate 5)CPCTC
+5/15

Cumulative Exercises Ch.1-7
10. Statements- 1)Givens 2)Ang.FDA=Ang.GEC 3)AD=EC 4)Ang.AFD=Ang.CGE
5)Tri.AFD=Tri.GEC 6)Ang.A=Ang.C 7)Tri.ABC is isosceles
Reasons- 1)Given 2)Perpendicular angles are congruent 3)Subtraction property
4)Supplementary angles of congruent angles are congruent 5)AAS
postulate 6)CPCTC 7)Definition of isosceles triangle

11a. Statements-1)Givens 2)Ang.STR=Ang.BRT 3)Ang.BRT=Ang.SRT 4)Ang.STR=Ang.SRT
5)RS=ST
Reasons- 1)Given 2)Alternate interior angles are congruent 3)Definition of
angle bisector 4)Substitution 5)Base angles theorem
11b. Statements- 1)Givens 2)SM=SM 3)RS=ST 4)RM=RT 5)Tri.SMT=Tri.RSM
6)Ang.RSM=Ang.TSM 7)SM bisects Ang.RST
Reasons- 1)Given 2)Reflexive property 3)Base angles theorem(refer to 11a)
4)Definition of midpoint 5)SSS postulate 6)CPCTC 7)Definition of angle
bisector
13a. Statements- 1)Givens 2)AF=BD 3)Tri.AFG=Tri.BDE
Reasons- 1)Given 2)Addition property 3)ASA postulate

13b. Statements- 1)Givens 2)AC=BC 3)AG=BE 4)GC=EC
Reasons- 1)Given 2)Base angles theorem 3)CPCTC(refer to 13a) 4)Subtraction
property

14. Statements- 1)Givens 2)Ang.PQM=Ang.NQR 3)KQ=QL 4)MQ=QN 5)Tri.KQM=Tri.LQN
6)Ang.L=Ang.K 7)NL=KM 8)Tri.NRL=Tri.KPM 9)PM=NR
Reasons- 1)Given 2)Vertical angles are congruent 3)Definition of bisect
4)Definition of bisect 5)SAS postulate 6)CPCTC 7)CPCTC 9)ASA postulate
10)CPCTC

+5/18

Swim Workout 12

2010-11-02T15:10:00.000-07:00

Warmup:
300 Choice
100 Kick
100 Pull

10 x 50s choice swim on 1:00
Odds: 25swim/25drill
Evens: 25kick/25kick sprint

4 x 100s choice on :20 sec. rest
50 drill/ 50 swim

6 x 50s on 1:00
Odds: Free
Evens: Choice

Swim Workout 11

2010-11-02T15:09:00.000-07:00

200 Choice

35x100
1-5 Kick with fins on 1:40
6-10 Free with fins on 1:30
11-15 Free pull on 1:40
16-20 IM Swim on 1:40
21-25 Free Swim on 1:30
26-30 Free Swim on 1:25
31-35 Kick on 1:50

Swim Workout 10

2009-11-25T08:08:00.000-08:00

11/25/09

Warmup: 300 free, 300 choice.

4 x 200s - 100 kick, 100 underwater turns(go underwater at the flags and flip turn underwater). On 3:15.

12 x 50s - On 1 minute. 2 free, 2 back. Working on technique.

10 x 25s swim - 1 fast, 1 easy, 2 fast, 2 easy. 5 free, 5 stroke.

200 - all-out broken(first round is 2 x 100, second round is 4 x 50, third round is 8 x 25). On 4:00.
2 x 100 - 50 kick, 50 swim(same stroke as 200). On 1:50.
2 x 50 - 1 drill, 1 swim. On 1:00. Choice.
Six times through. 1 time free, 1 time stroke

200 cool down.

Swim Workout 9

2009-10-14T19:37:00.000-07:00

10/14/09

Warmup: 400 free

100 stroke - 50 drill, 50 swim on 1:45.
4 x 25 stroke kick on :30 all out.
6 times through this.

8 x 150s Fly w/ Fins - 50 kick, 50 drill working on hand anchoring and kick, 50 swim breathing every 3 on 2:30.

10 x 50s w/ a stick - 2 on :40, 3 on :45.
200 - Left hand paddle, right foot stick.
200 - vice versa.
2 times through this.

Swim Workout Day 8

2009-08-04T09:42:00.000-07:00

Swimming:

Warmup: 200 free swim, 200 IM drill, 200 choice swim

12 x 50s - 3 of each stroke- 1 kick, 1 drill, 1 swim.

1 x 25 fly, 2 x 50 back, 3 x 75 breastroke, 4 x 100 free
1 x 25 back, 2 x 50 breastroke, 3 x 75 free, 4 x 100 fly
1 x 25 breastroke, 2 x 50 free, 3 x 75 fly, 4 x 100 back
1 x 25 free, 2 x 50 fly, 3 x 75 back, 4 x 100 breastroke
:10 sec rest

200 easy cooldown

Swim Workout 7

2009-07-29T13:57:00.000-07:00

Swimming: Easy Day

Warmup: 300 free swim, 300 choice swim
300 free kick, 300 choice kick

8 x 50s - Butterfly w/ fins on :40
12 x 25s - Underwater dolphin kick on odds and backstroke on evens on :40

Cooldown: 20 easy

Swim Workout 6

2009-07-29T13:55:00.000-07:00

Swimming:

Warmup: 300 free, 300 choice

8 x 100s - Freestyle kick on 2:00
5 x 500s - Freestyle pull on 6:30

Cooldown:
200 freestyle kick easy
200 swim easy

Swim Workout 5

2009-07-24T17:54:00.000-07:00

7/23/09

Swimming:

Warmup - 300 free, 300 choice
7 x 400 IM - on 6:00
1 x 200 IM - all out off the starting block for time
400 free easy cooldown

Swim Workout 4

2009-07-21T18:55:00.001-07:00

Swimming:

Warmup:
- 400 free, 400 reverse IM
- 8 x 100s - Freestyle kick on 2:00
- 8 x 50s Freestyle- Crocker Drill on 1:30- First 50 - 15m underwater dolphin kick then swim rest of 25, then halfway dolphin kick and swim rest of 25.
- Second 50 - Halfway underwater dolphin kick then swim rest of 25, then whole lap underwater dolphin kick and swim rest of 25.
- 8 x 50s Freestyle - 4,3,2,1 breathing(4 breaths per 50 and descending) on 1:00
- 8 x 100s - Freestyle Catch-up drill.
- 200 cooldown

Swim Workout 3

2009-07-17T13:06:00.000-07:00

Dryland:

None

Swimming:

Warmup - 300 free, 300 choice
- 8 x 75s freestyle- odds are 25 right arm, 25 left arm, 25 swim. each 75 in IM order.
evens are breathing 3,2,1(taking 3 breaths per 25 and descending)
- 28 x 25s - 1 on :30, 1 on :20
1 on :30, 2 on :20
1 on :30, 3 on :20
1 on :30, 4 on :20
1 on :30, 5 on :20
Twice through, one round free, one stroke
- 5 x 200s freestyle- 1 with a stick(catch-up drill if a a stick isn't present), 2 breathing every 5,3,7,9 strokes per 50, 2 descending(second 100 is faster than first 100)
- 8 x 100s - stroke kick on 2:00
- 200 cool down

Swim Workout 2

2009-07-17T13:00:00.000-07:00

Dryland:

-4 lap run around facility (approx. .75 mile)

-1 lap around the pool(25 yard x 25 meter pool) lunges
-50 sit-ups
-50 push-ups
-100 step ups(step up onto first level of bleachers with one leg...50 step ups with each leg)
-1 lap around pool bear crawl

Bold is repeated(x2).

Swimming:

Warm up- 300 free, 300 choice.
8 x 50's Freestyle- breathing 5,4,3,2 (5 breaths per 50 and descending)

Swim Workout Day 1

2009-07-07T07:24:00.000-07:00

7/6/09

I realized I am very out of shape. Swimming was actually not difficult but I started moving slower and slower as the sets moved on. I am also very sore from dryland and the fact that I went to play basketball after practice.

Dryland:
(All with medicine ball...the one we used was 5 kg.)

-8 lap run around facility complex(about 1.2 mile or so)
-25 pushups(medball on one hand,pushup, then move medball to other hand and repeat without going down)
-50 bleacher sit ups(holding med ball on chest)
-100 lunges(holding med ball on chest or above head)
-150 squats(holding med ball on chest or above head)
-200 V-ups(i actually didn't complete this...lay flat on back with medball held above head. then in one motion lift your legs and touch med ball to feet and V position).

Swimming:
(All in 25 yard pool- SCY)

Warmup- 300 free, 300 choice
-400 IM- split into 25 kick, 25 right arm, 25 left arm, 25 swim.
-10 x 50 kick on 1:00

Main Set- 4 x 800 IM split up. There is a 30 sec rest between each 800 IM
-First 800 IM is split into 8 x 100 IM with 5 sec rest in between
-Second 800 IM is split into 4 x 200 IM with 10 sec rest
-Third is split into 2 x 400 IM with 20 sec rest
-Last is an 800 IM

Free Anti-Virus Software

2009-07-06T11:44:00.000-07:00

Recently, one of my friends had his laptop invaded by a virus. Now, it is realistic to say that people who are on the Internet at least daily will at some point be invaded by a virus, barring they have some god-like anti-virus software in which they probably overpay for. But back to the subject, my friend was asking around for help. My knowledge of computer viruses isn't great so what I did was recommend some free antivirus software to him. Antivirus software are for preventing viruses(and trojans?) from infecting your computer. For most people, free antivirus software is all they need since the quality of protection is usually just as good.

The one I mainly use is AVG Anti-Virus which can be found here.

Another very popular free program is Malwarebytes Anti-Malware.

Sandboxie is a very effective program that I have seen to be very highly recommended.

The two listed above are the ones I use, with Malwarebytes probably the most popular.

If for whatever reason you want a different free anti-virus program, others that I have come across can be found here and here.

Regardless of whichever one you choose, these free anti-virus programs are a must for anyone who doesn't have one right now protecting their computer. I highly recommend you download one of these(or more if you would like to) for the above reason.

Edit: Also, many colleges offer anti-virus deals and others for students. Look into that.

High School Swimming Workouts

2009-07-05T11:02:00.001-07:00

It has been a lonngg time since posted something or even logged in. So, with the summer halfway over and my vacation to Malaysia definitely over...it is definitely time to get back in shape for the upcoming swim season unless you're a hardcore swimmer that swims year round. I'm going to start posting swim workouts that I go through. I am not joining a club team but just doing the optional practices that my high school team offers through the summer to stay in shape.

So keep an eye out. Starting soon.

Ask Your Doctor

2008-12-28T20:36:00.001-08:00

ti3n's blog: Ask Your Doctor - Questions

Got this from my dad who is a pharmacist.

Christmas/Holiday Break

2008-12-28T16:42:00.000-08:00

So Christmas/Holiday break is now halfway over so its time to start getting some things accomplished before school starts again next week. Swim practice resumes tomorrow from 7-9 AM this whole week.
So things I plan to do this week that I'm not looking forward to (not fun stuff) are:

AP Physics- more specifically the Calorimetry Lab and Test Corrections
Study for Science UIL- I've looked at the packet and the questions are unbelievably hard.
SWIM PRACTICE!!!
High School Aerospace Scholars(HAS) - I have to submit a letter to the Texas state legislator and get started on the ten lessons which include a quiz and essay over each topic.

And the things I'm looking forward to:

Swim practice(again)!!!
Blogging
Getting my drivers licence(finally)
I'm also going to learn Tong Hua on Piano

If anyone wants the piano sheet music to Tong Hua, this is the one I'm learning.

Theres also two other versions I found. Here is one of them. And the other one.. Enjoy.

The Allen Eagles are now 2008 Texas High School Football Champions!!!

2008-12-26T14:36:00.001-08:00

Last Saturday, the Allen Eagles, ranked number 2 in the country according to Rivals High School Football Rankings, faced off against the Fort Bend Hightower at Reliant Stadium(Home to the Houston Texans). The victor of this game would claim the right to be Texas's number one high school football team since Class 5A Division 1 is the top football class and division in Texas.

Just a week ago, Allen pulled off an amazing victory, playing close to perfect, against the ranked number 1 team in the country, the Euless Trinity Trojans. The loss bumped Trinity down to the number 9 spot and jumped Allen from number 10 to number 2.

So, at the game, it seemed very likely that Hightower had an easy victory because of Allen's porous defense. In the picture, Allen's secondary tries to stop Hightower's high octane offense. Final result: Hightower touchdown.

It was very fortunate that Allen was only down 0-7 at halftime, since it could have been a lot worse. In the second half, the offense stayed strong while the defense picked up. A crucial interception near the end of the fourth quarter sealed it for Allen and put away Hightower's hope of a comeback. In the picture, Allen has just scored a touchdown.

In this picture, the 16,000 Allen fans are ecstatic after an Allen score and are watching the ensuing kickoff.
The final score: 21-14 Allen.

As a side note, the Allen Band was amazing to all who witnessed it. With over 650 members, they are the biggest band in the world, according to Wikipedia. Their show energized the crowd and really put to shame Fort Bend's band.
This is my brother and I after the game.