Problem: Article: Label the line PQ. Construct this line parallel to the bottom of the triangle. Remember, all of the angles that comprise a straight line must be equal to 180°. Because angle PAB, angle BAC, and angle CAQ combine together to make line PQ, their angles must sum to 180°. Call this Equation 1. Because you constructed line PQ parallel to side BC of the triangle, the alternate interior angles (PAB and ABC) made by the transversal line (line AB) are congruent. Similarly, the alternate interior angles (CAQ and ACB) made by the transversal line AC are also congruent.  Equation 2: angle PAB = angle ABC Equation 3: angle CAQ = angle ACB It is a geometric theorem that alternate interior angles of parallel lines are congruent. Knowing that the alternate interior angles are equal lets you substitute the angles of the triangle for the angles of the line.  Thus we get, Angle ABC + angle BAC + angle ACB = 180°. In other words, in the triangle ABC, angle B + angle A + angle C = 180°. Thus, the sum of all the angles of a triangle is 180°.
Summary: Draw a line parallel to side BC of the triangle that passes through the vertex A. Write the equation angle PAB + angle BAC + angle CAQ = 180 degrees. State that angle PAB = angle ABC and angle CAQ = angle ACB. Substitute angle PAB and angle CAQ in Equation 1 for angle ABC and angle ACB (as found in Equation 2 and Equation 3) respectively.

Problem: Article: Ask who specifically you should contact if you have any complaints or concerns before, during or after the limo service. Write down the contact’s name, telephone number and email address. Bring this information with you. If gratuity isn’t already included in the bill – or perhaps even if it is – don’t forget to give gratuity to the driver at the end of the event. Professional drivers often make low hourly wages, and they typically rely on tips. Give the driver 15 to 20% of the total cost of your rental. Base the amount you give on the level of service you received.
Summary: Prepare yourself in case anything goes wrong. Tip the chauffeur.

Problem: Article: Your smartphone probably isn’t going to cut it for capturing professional sports shots. A DSLR digital camera is a good choice for beginners because it takes good quality shots, you can swap out lenses quickly, and it’s affordable.  You don’t need to worry about how many frames per second it can shoot, or how many megapixels it has. What’s more important is the quality of the lenses you use.  DSLR cameras can cost anywhere from $400 for an entry-level model to $3000 for a model with a full-frame sensor.  Review ConsumerReports or other online sources with camera reviews to see which brands and models people are having success with. The lens kits that come with most cameras will not have a wide enough aperture to take sports shots at night. You’ll need a lens that takes in as much light as possible, so look for a low “f” number associated with the aperture. For example, an f/2.8 is faster than an f/5.6. And be sure that the aperture stays low when the lens zooms. You’ll need a long telephoto lens to shoot games like football, where the action is far away from where you’ll be. Look for a lens that’s 200 or 300mm. If you need more depth later on you can add a teleconverter. Most of the lenses you’ll be using are too heavy to hold in your hand and take stable shots at the same time. A tripod is too bulky to have with you on the field, so opt for a monopod with a good ball head to get a good combination of stability and flexibility.
Summary: Buy a digital camera. Purchase a lens with a wide aperture. Invest in a good telephoto lens. Get a monopod to hold the camera.

Problem: Article: There are 88 keys on a piano. White piano keys are called naturals because they make a natural note when pressed. Black piano keys are called accidentals because they make a sharp or flat note when pressed.  There are 7 naturals on the keyboard: C-D-E-F-G-A-B There are 5 accidentals per octave and they can either be sharp or flat. Learn the names of the left-hand and right-hand staff: bass clef and treble clef Since you don't have a teacher, let instructional books be your guide. There are many books available in both specialty music stores and regular book stores that will take you through a step-by-step process of learning how to read music, play basic scales, chord progressions and then simple songs. Utilize multimedia tools such as DVDs. YouTube videos also are a valuable source. If you are a visual learner, these tools will suit you well because you can see the music being played correctly. You will need to learn where the notes are located on the piano, what they sound like and how the note is written on the staff. To do that, you can make flash cards to identify the notes on the staff. You can purchase stickers to place on your piano to help you learn the placement of the notes. You also can purchase books that help beginners learn how to read notes. Familiarize yourself with common chords. Start with the chords in majors. Then follow with the minors. Use the instructional books to help you learn how to play the notes. Playing the notes with the correct fingers is just as important as learning where the notes are located. If you don't practice using the correct method, then you'll have trouble playing up and down the scales. Playing scales helps you familiarize yourself with the notes and the sound of them. If you are learning how to sight read, playing music while you sight read helps you learn where the notes are located and what they look like on the staff. Play the scales for each hand one at a time. Then play them together. Using your instructional books, go through the lessons. They will teach you to play easy songs as well as mastering finger placement. Practicing with easy songs also helps you to memorize where the notes are located, which improves your sight reading abilities. Start with C major. Then, work your way through the minor keys, so that you can familiarize yourself with them. When you're practicing a piece of music, try to play the melody and bass lines for each hand separately at first. Once your playing of each improves, then practice playing them together. Learning to play the piano requires a lot of practice. Play with sheet music to get better at sight reading, fingering and playing. Plan on practicing about 3 to 4 times a week for about a half hour. Don't move on to the next lesson until you've mastered the previous lesson.
Summary:
Learn some basic piano knowledge. Use instructional books. Study the notes. Learn finger placement. Practice playing scales. Learn some easy songs. Practice, practice, practice.