![]() ![]() Thurber had demanded of her husband - forced them to stop writing. The writers’ strike, now in its third month, has done for the thousands of members of the Writers Guild of America what Mrs. Writing is not some industrialized, mechanized process there is no time card. Thurber, whose prolific career included “The Secret Life of Walter Mitty” and “The Battle of the Sexes” (both adapted into films), captured the occupational hazards inherent in the writer’s mind. Sometimes my wife comes up to me at a party and says, ‘Dammit, Thurber, stop writing.’ She usually catches me in the middle of a paragraph.” “I never quite know when I’m not writing. We were then able to solve this linear equation using our algebraic methods to give us the value of □: □ is equal to one.In 1955, James Thurber, whose peerless wit made him one of the most important American writers of the 20th century, recounted the following exchange: Once we’d recalled this fact, we were able to set up our equation to answer the first part of the question: 15□ plus 50 is equal to five □ plus 60. So to answer this question, we had to recall a key angles fact, which is that vertically opposite angles are equal to one another. So dividing both sides of the equation by 10 gives me that □ is equal to one. The final step in order to find the value of □ is that I need to divide both sides of this equation by 10, as I want to go from 10□ to one □. And having done so, I now have that 10□ is equal to 10. ![]() Next, I want to have the □ terms on their own, so I need to subtract 50 from both sides of the equation. So when I subtract five □ from the left-hand side, I’m left with 10□ plus 50, and when I subtract five □ from the right-hand side, I’m just left with 60. So my first step towards solving this equation is just subtract five □ from both sides. So looking at the equation, I can see that there are currently □ terms on both sides of the equation, and I’d like to collect all the □ terms on the same side, the left-hand side. So the problem is now an algebraic one, where we’re looking to solve this linear equation. So we’ve answered the first part of the question, and now we need to go on and answer the second part of the question, which asked us to find the value of □, or, in other words, solve this equation. And there is our unsimplified equation that we can use in order to calculate □. So we have that 15□ plus 50 is equal to five □ plus 60. Well, if vertically opposite angles are equal to each other, then these two expressions for the angles must also be equal to each other. So this gives us an idea for how to answer the first part of the question: form an equation that will allow you to calculate □. In order to answer this question, we need to remember a key fact about vertically opposite angles, which is that vertically opposite angles are equal to each other. However, we’re interested in the pair of angles marked in blue, and also now in orange. There is also another pair of vertically opposite angles in the diagram, the pair of angles that I’ve marked in green. ![]() These are the pair of angles opposite one another when a pair of straight lines intersect. And by looking at the diagram, we can see that the two angles that have been labelled are a particular type of angles that was referred to as vertically opposite angles. The diagram consists of a pair of straight lines, which intersect. We need to use some angle facts in order to first form an equation and then solve our equation in order to find the value of □. And by looking at the diagram, we can see that two of the angles have been labelled in terms of this variable □. So within this question, we’ve been given a diagram. Firstly, form an equation that will allow you to calculate □. Answer the following questions using the given diagram. ![]()
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