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There are two angles that are supplementary and one of the two angles is 50°. Now let’s go through some quick solved examples and test your knowledge: Example 1 Therefore, Angle A is congruent to Angle C. Supplementary Angles TheoryĪccording to the supplementary angles theorem, if two angles are supplementary to the same angle, then they are congruent to each other. To find other angles, use the following formula: ∠x = 180°-∠y or ∠y = 180° -∠x You can calculate supplementary angles by subtracting the specified angle from 180 degrees. Note that, when two adjacent supplementary angles are put together, they form a straight line. Hence, they are supplementary angles but not adjacent. But when added up, that is 130° + 50° = 180°, their sum comes as 180°. Here, ∠ ABC and ∠ PQR are non-adjacent angles as they neither have a common nor a common arm. Put simply, two supplementary angles that are not adjacent are said to be non-adjacent supplementary angles. Hence, these two angles can be called adjacent supplementary angles. These two angles add up to 180 degrees, that is ∠ BOA + ∠ AOC = 180°. Here ∠ BOA and ∠ AOC are adjacent angles as they have a common vertex, O, and a °common arm OA. Two supplementary angles that have a common vertex and a common arm are said to be adjacent supplementary angles. Each of these types of supplementary angles is explained below. Types of Supplementary AnglesĪdjacent and non-adjacent supplementary angles are the two types of supplementary angles. However, linear pairs are always supplementary. So, remember that supplementary angles are not necessarily linear pairs. Supplementary angles do not have to be adjacent, but linear pairs must be adjacent to form a straight line. One of the most asked questions is whether all supplementary angles form linear pairs? Hence, any two angles can be supplementary angles, if their sum is equivalent to 180 °. But also note that even if two angles are supplementary to each other, they do not have to be next to each other. When two supplementary angles are joined together, they form a straight line and a straight angle. In a supplementary angle if one angle is 90°, then the other angle will also be 90°.The supplementary angles do not have to be on the same line, they can be on different lines, but should measure 180°.The “S’ in supplementary angles stand for Straight line, this means that they form 180°.Any two angles are said to be supplementary angles when their sums add up to 180°.Supplementary angles all share the same properties: Let’s try to find the supplementary angle measurement for each measured angle. Now when you look at the above examples you will find that there will always be an obtuse angle (150°, 130°, 96°, 120°) added with an acute angle (60°, 90°, 40°, 84°) or there will be a sum of two right angles (90°, 90°). Let’s look at some examples of supplementary angles to get a better understanding: Creating engaging resources doesn’t have to stop here! Head to LindsayBowden.As you go through, you will explore a world of supplementary angles with important applications in solving various geometric problems.Here are some resources you may like for teaching angles: The “S” in supplementary stands for “Straight” like a line. The “C” in complementary stands for “Corner” like a right angle. This “trick” really helped my students! I would see them write out C and S on their test and change the letters to 9 and 8! Another Helpful TrickĪnother way to help students remember the difference between complementary and supplementary angles is this: To help students remember the difference between complementary and supplementary angles, I taught them this quick trick.įor complementary, students can change the “C” to a “9” to help them remember 90°.įor supplementary, students can change the “S” to an “8” to help them remember 180°. Trick for Remembering Complementary and Supplementary Angles With all these new terms, it might be difficult for students to remember even the most basic geometry terms. There are corresponding angles, consecutive angles, adjacent angles, alternate exterior angles, etc. However, I started to think about all the new terms they learn in geometry. They should know these angles from their middle school math class. When I taught high school, I was always surprised that my students would get these terms confused. Complementary and supplementary angles are a key part of any geometry curriculum. Intelligence: Primary stat for spellcasters, and this is used to increase their MATK and MDEF. Total Healing = Base Item Healing Rate + įor more information on the subject, see Restoration Items. The calculation to see actual HP healed by healing item:.The calculation to see actual HP regenerated naturally with every 5 VIT is:.The calculation to see actual HP increased with every 1 VIT is:.Stun: -1% chance from being inflicted, decreases duration (exact value unknown).Mode Cold: reduces chance from being inflicted, decreases duration by 0.1s.Ignition: reduces chance from being inflicted, decreases duration by 0.1s.Freezing: reduces chance from being inflicted, decreases duration by 0.1s.Deadly Poison: -1% chance from being inflicted, decreases duration (exact value unknown).Poison: -1% chance from being inflicted, decreases duration (exact value unknown).Every 5 VIT: HP regeneration rate +1 (?).Each point of VIT provides the following: Vitality: This stat determines how much damage you can take in battle. Does not affect Cast Time or Cast Delay.More details can be found in the entry for ASPD discussion. It can take between 1 and 20 AGI to increase ASPD by 1. The actual ASPD calculation depends on AGI, DEX, ASPD potions and skills, the type of weapon you are using, and your job. Decreases Vacuum Extreme duration by 0.04s.Īgility: Increases your attack speed and chance of dodging.When using Guns, Instruments, Whips, and Bows, every 5 STR provides: Weapon ATK +0.5% (on base weapon damage only, and this bonus is forced neutral).When using Axes, Barehands, Books, Daggers, Katars, Knuckles, Maces or Spears, every 1 STR provides: Strength: This stat directly increases your physical damage, allowing you to deal damage even if you don't equip any weapons if you invest a sufficient amount of STR.
This includes boosts to inactive damage, multi-spawns, and inactive advancement speed. Boosts that allow you to progress offline faster and more smoothly allow you to pay less attention to the game and get greater rewards. While a damage skill that requires delay can be powerful, this delay can also reduce your relics per minute even if you do end up progressing further in a prestige. Similarly, a damage multiplier that doesn’t require a delay is faster than something like the boost from Anchoring Shot, Lightning Strike, or Doom, and thus are excellent for farming. For gold, getting boosts that help Boss or Chesterson gold can be better than boosts that help Fairy or pHoM gold, simply because these gold sources will pay out your gold faster. These are similar to the cooldown reductions mentioned in the last bullet point, but some builds like Heavenly Strike have such high mana requirements that these deserve their own category.įaster sources of gold or damage. These allow you to not wait around for mana, and thus allow you to progress without interruption. Mana capacity, mana regeneration, and mana cost reductions. These help you reduce the amount of times you need to interact with the game in order to prestige, or reduce the time waiting for an event to happen. These are typically the boosts that people will refer to as “farming boosts” simply because they don’t give any damage or gold boosts by themselves, but increase the speed you can farm.Ĭool down reduction and duration increases. These help you go faster by increasing your splash count, splash skip, multi-spawns, and Portar/Snap spawn chance. More relics = more artifact levels = more power = more progression = more relics. Books of Shadows is known as the most powerful artifact for a reason, and it’s simply because it allows you to gain many times more relics each prestige than you would normally. We can break down ways to improve our speed into some distinct categories: Having fast farming prestiges is important, but it is also important to maintain higher relics per minute. You want to be able to do your farming runs quickly to maximize your relic gains, but you also want to make sure that you do not lose too much power when doing this. When talking about farming, speed is typically one of the biggest concerns. You will need to do this to find out for yourself. You may find that pushing even when things are slow can actually increase your relics per minute due to the relic gains you get from increasing your max stage. The point where you are getting the largest number when you divide you number of relics by your minutes to reach that point is your optimal prestige point. Simply put, you can use the prestige screen to compare the number of relics you get from a prestige and the amount of time it took to get there. This is when the metric for determining your most optimal prestige stage comes into play: Relics per Minute. However, this exact point will be different for each player and each build. Typically this slow down point is around when you cannot kill the bosses in a single hit anymore or cannot splash anymore. You prestige, play until you slow down and cannot easily progress, then prestige and do it again. Meanwhile, pushing is when you exceed your max stage and try to increase it as much as possible. Farming is the act of prestiging, typically below your max stage, to gain relics, and help level up your artifacts to become stronger. Farming is a part of the game that we spend most of our time on, and it is good to understand what we need to do to maximize the benefits we get for the time we spend. Teaching children the importance of learning Bible memory verses is yet another important aspect. Lifestyle while also reminding ourselves! Bible Memory Lessons can help us teach children & youth this most important Thanksgiving children's Bible lessons, crafts, games, object Is a wonderful time to focus on giving God thanks and praise.ĭeveloping and attitude of gratitude takes practice and positiveĮxamples. Or for creative additions for children's Bible lessons for your Christian Easter celebration try these great Easter activities and object lessons.Įven Halloween or Fall Festivals can become a time for us to teach about the light of Christ using this pumpkin Gospel lesson and other creative Christian Halloween alternatives.
Except that she's not looking for buried treasure she was looking for her man.Īnd notice that, instead of getting jealous or insecure, she tells him that she'll wait for him because she is a "desert woman" who is used to waiting. Fatima shows Santiago not only that she loves him, but that she, too, understands the language of the desert and follows the omens. (2.287)įlowery language aside, this is the desert equivalent of checking the "Yes" box on a grade-school love note. Now, my present has arrived, and it's you. Ever since I was a child, I have dreamed that the desert would bring me a wonderful present. I have forgotten about my past, about my traditions, and the way in which men of the desert expect women to behave. I have been waiting for you here at this oasis for a long time. But hand on a minute: has anyone thought to ask Fatima about her feelings for Santiago? A few days later, when Santiago sees her at the well, Fatima tells him, That's all well and good for Santiago, who's been doing a lot of thinking about the Soul of the World and the universal language on his trek across the desert. When he looked in to her dark eyes, and saw that her lips were poised between a laugh and silence, he learned the most important part of the language that all the world spoke-the language that everyone on earth was capable of understanding in their heart. When Santiago sees her, you can imagine some sappy music and light shining down through the clouds:Īt that moment, it seemed to him that time stood still, and the Soul of the World surged within him. She shows up for the first time at the well, where she's the only person at the oasis who's willing to talk about the alchemist. Headdesk.) But he and Fatima have Twu Wuv: she knows that Santiago will be back for her if it's meant to be, so she urges him to continue his journey while she waits patiently at home for him. (You know, because women and treasure are pretty much exchangeable. She's so pretty, and he's so in love with her, that he almost decides to just stay at the oasis and take her instead of the treasure. Fatima is the girl that almost distracts Santiago from his dream of reaching the pyramids and his treasure. Like airlines that reward loyal customers, Uber and Lyft offer some goodies to frequent riders. Uber declined to comment, citing a quiet period before its I.P.O. In addition, because Uber is generally more popular in most cities, in my experience its surge markup is often significantly higher than Lyft’s, meaning riders are typically better off summoning a Lyft when cars are in high demand. The vagueness can make things more confusing, especially when prices are higher because of unexpected circumstances like heavy traffic. In its receipts, Uber does not show the length and duration of the trip it shows a fare price. Its receipts break out details like the duration of the trip and the distance traveled, which helps riders better understand overall costs. The verdict: Lyft wins, in part for greater transparency. Lyft marks up its Prime Time pricing with a percentage: If the rate is 50 percent, a fare that would normally be $10 costs $15. When prices surge now, Uber does not show a multiplier and instead quotes only the higher price up front. In the past, when Uber fares “surged,” the app showed a multiplier - for example, 3X, meaning the fare was triple the normal cost. Uber calls its practice surge pricing, and Lyft’s version is labeled Prime Time. So if you’re outside a popular museum and dozens of others are trying to summon cars, Uber and Lyft will raise prices to nudge additional drivers to come to the area. When not enough cars are available in an area with high demand, both companies use a system known as dynamic pricing, which scales up costs in accordance with supply and demand. It’s when the companies raise prices that things get more confusing. And Lyft’s lack of fare splitting makes Uber the app of choice for group outings.įundamentally, Uber and Lyft charge roughly the same rates: Riders pay a fare based on the duration and distance of a ride. Its broader wheelchair-accessibility feature is similar to the option offered by traditional taxicabs. The verdict: In terms of ride-summoning features, Uber wins hands down. Lyft, which declined to comment for this column, has a very limited wheelchair-accessibility program I wasn’t able to summon one here. In my tests in San Francisco, wheelchair-accessible cars were available in many areas. Most important, Uber lets people request wheelchair-accessible cars in about 15 of its top cities. (This isn’t a game-changing feature: In my tests, Uber’s Express Pool option was not available in many locations.) Lyft is currently testing a similar feature in three cities. In other words, you save money by walking a bit to make the route more efficient for the driver. In addition to UberPool, Uber includes a car-sharing feature called Express Pool, where you agree to walk a short distance from your actual location, like to a street corner, and be dropped off somewhere close to your destination. Lyft discontinued its fare-splitting feature last year and said it planned to release an improved version this year. Uber includes a button to let you split the cost of the fare with multiple riders, which is handy when you’re out with a group. When a trip is complete, payment happens through the app, and you get an emailed receipt documenting the route.īut that’s where the similarities end. And to lower costs, both apps let you hail a car to share with a stranger who is going somewhere along your route: Uber calls its feature UberPool, and Lyft calls it a Shared ride. They both also let you add multiple drop-off points if you are sharing a car with a couple of friends. To streamline requests, both apps let you save frequently used locations, like your home or office. Then you choose the type of car you want: economy, luxury or larger vehicles with more seats like S.U.V.s. To summon a car, you tap the app on your smartphone and enter a destination and pickup location. Uber and Lyft are, for the most part, neck and neck in terms of their core features. Here’s a rundown of how the apps compare. 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The console top has a cup holder and a smartphone compartment with an elastic strap. The removable console top stays in place with three stretchable rubber cords. You could also use it to carry a notebook computer, a helmet, a few books, and an extra sweater or jacket. The RadRunner Center Console takes away the easy-mounting of the step-through frame but adds a 12-liter capacity water-resistant storage compartment handy for picking up the mail or a few groceries. Rad has pending patents for those last two accessories, and we asked for both for our test bike. The accessory list includes fenders, gear racks, boxes, and bags, but the two most interesting RadRunner add-ons are the Passenger Package and Center Console. RadRunner customers can upfit the e-bike to best conform to their definition of utility with accessory selections. By Rad’s count, there are 330 accessory combinations available from the company. Rad Power Bike’s vision of utility for the RadRunner includes a high level of customization potential. So, multiple gearing speeds, suspension, and a more informative display are off the RadRunner’s spec sheet because Rad figured the target buyer wouldn’t miss them and didn’t need them for a utility e-bike if the trade-offs helped keep the cost low. The LED display doesn’t show current speed, or miles traveled, either. Still, you’ll start to feel beat up if riding on rough roads. Even though the RadRunner has semi-knobby rubber. The Kenda fat tires help soften the ride, especially if you run them a bit under their maximum air pressure. The RadRunner has a rigid front fork and no rear suspension. You’ll start to feel beat up if riding on rough roads. The RadRunner is surprisingly easy to pedal, but there’s just one speed unless you use electric pedal assistance. That’s resulted in some compromises.īecause the RadRunner’s shape and size are not in the conventional bicycle or mountain bike style, Rad opted for a single-speed derailleur. The RadRunner’s $1,299 regular price includes free shipping, although right now, the price is $1,199 while supplies last during an end-of-year sale. What’s missing and why?įrom the outset, Rad intended that the RadRunner would fill the role of the brand’s entry-level ebike, which meant the price needed to be less than the already low $1,499 the company charges for its other models. There’s an intuitive LED display by the left hand-grip that shows battery charge level, pedal assist level, and whether the lights are turned on. The semi-knobby pneumatic tires are Kenda K-Rads, built exclusively for Rad Power Bikes with a K-Shield puncture-resistant liner and high-visibility reflective striping on both sides.īoth the RadRunner’s LED headlight and the integrated rear taillight with brake light and flash mode connect directly to the main battery, so you don’ t have to worry about replacing batteries individually. The aluminum-framed e-bike has an integrated rear rack, a dual-leg kickstand, and fat 20-inch by 3.3-inch tires. The RadRunner has Tektro mechanical disc brakes front and rear, an adjustable moped-style seat, and adjustable aluminum 10-inch rise handlebars. The bike’s charger can fully charge the battery from empty in five to six hours. Like all e-bikes, the torque is available immediately as soon as you start pedaling or twist the throttle. The motor puts out 80 Newton-meters (the equivalent of 59 pound-feet of torque). Stepping down to the next level of granularity, the RadRunner has a 750-watt Bafang geared hub motor on the rear wheel hub. Lotus applies its automotive know-how to something with fewer wheels Rad Power Bikes’ new e-bike models boost accessibility and visibilityĪll the insane car tech (and one motorcycle) we can’t wait to see at CES 2020 Endnotes are used in academic papers to identify where a particular source has been cited.įootnotes are placed at the bottom of the page and they have a superscript number at the beginning of the line. Difference Between Footnotes and Endnotesįootnotes are used in scholarly papers to give further information about the text. Endnotes are similar to footnotes, but they are used to indicate where in a text a specific reference can be found. A footnote can include the full citation of the source, or just the author and year of publication. Examples of Footnotes and Endnotes in an Academic PaperĪ footnote is a reference to a source in an academic paper. Endnotes are typically used in scholarly writing to help identify sources and to provide references for readers. For example, if you were referencing an endnote that was located on page 3 of your book and listed three sources, you would type “3 et al.” The main difference between footnote and endnote formatting is that footnotes are What is a Endnote?Ī footnote is a short note at the end of a text that provides additional information. When citing an endnote, you type the number followed by “et al.” (meaning “and others”). They can have different formats (inverted pyramid, author-date, etc.), but they all include a list of the sources used and their corresponding page numbers. They appear at the bottom of the page after the references and superscript numbers have been typed in. Endnotes Endnotes are like mini-bibliographies. Like endnotes, footnotes can have different formats (inverted pyramid, author-date, etc.), but they’re generally easier to spot since they’re smaller and placed below the text they reference. It’s a mini-endnote that appears directly below the text it references. Here’s a look at the difference between these two types of notes:įootnotes A footnote is like a footnote on steroids. Footnotes are smaller than endnotes, but they are still considered a part of the text. How to Use Endnote and Footnote in MS-Word | MS-Word Tutorial What is a Footnote?Įndnotes are used in scholarly writing to note sources and provide additional information. |
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