How many feet does it travel in 24 minutes and 40 seconds? Which of the 4 numbers MUST be equal to 0?įor what value of k will the two equations 2x + 4 = 4(x - 2) and -x + k = 2x - 1 have the same solution?Īn object travels at fifteen feet per minute. What value of a makes the two lines parallel?Ī, b, c and d are numbers of different values such that Line LL passes through the points (4,0) and (6,2).
Line L passes through the points (-2,0) and (0, a). What positive value of b makes triangle ABC a right triangle with AC its hypotenuse? Points A, B and C are defined by their coordinates in a standard rectangular system of axes.
What is the area, in square inches, of triangle ABC? The length of DE is 5 inches, the length of BG is 8 inches and the length of AC is 6 inches. In the figure below, AC is parallel to DE. Find the digit b.įind a negative value of x that satisfies the equation The sum of all the digits in the above number is equal to 13. If w workers, working at equal rates, can produce x toys in n days, how many days it takes c workers, working at same equal rates, to produce y toys?Ī number of the form 213ab, where a and b are digits, has a reminder less than 10 when divided by 100. The two small circles are congruent and tangent to each other and to the larger circle. The centers C1 and C2 of the smaller circles are on AB. In the figure below, AB is a diameter of the large circle. How many students are not studying any of the three languages? 3 are studying German and French 4 are studying French and Spanish 2 are studying German and Spanish and none is studying all 3 languages at the same time. Of the 80 students in class, 25 are studying German, 15 French and 13 Spanish. What is the area, in square feet, of the triangle whose sides have lengths equal to 10, 6 and 8 feet?
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