Solve each problem before clicking on an answer. Chapter 3 Practice Solve each problem before clicking on an answer.
1.) Find the value of the variable Hint 3x-10 x+10 2x x = 20 x = 30 x = 25 x = 40 x = 10
Correct!
2.) Find the value of the variable Hint 2w 4w – 12 w + 22 w = 22.7 w = 30 w = 36 w = 20 w = 34
Correct!
3.) Find the value of the variable Hint 132 M x 124 104 256 192 136 114
Correct!
4.) Find the value of the variable Hint h 34 38 34 72 108 74 40
Correct!
5.) Find the value of the variable z 28 40 76 40 48 46 Hint 68 36
Correct!
6.) Find the value of the variable 41 68 20y 2.05 2 60 3 87 41 Hint
Correct!
7.) Find the value of the variable. The pentagon is regular 36 72 54 30 p 108 Hint
Correct!
8.) Find the value of the variable if the polygon below is regular. 12x Hint 10 12 60 5 120
Correct!
9.) The interior angle sum of a convex polygon is 180 degrees more than twice the exterior angle sum. What polygon is this? Hexagon 14-gon Septagon Decagon Octagon Hint
Correct!
10.) Find the next number in the sequence: 10, 30, 20, 60, 50, 150, 140, ___ 130 280 Hint 330 450 420
Correct!
11.) Find the value of the variable 2w – 30 w Hint 80 70 90 75
Correct!
12.) Find the value of the variable if this is a regular hexagon. 90 60 x 80 120 Hint
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Hint #1 The three angles of a triangle have a sum of 180 degrees. Back to Question #1
Hint #2 The exterior angle of a triangle is equal to the sum of the remote interior angles. Back to Question #2
Hint #3 Draw an auxiliary line through point M that is parallel to the other two lines. Back to Question #3
Hint #4 You could use corresponding angles of parallel lines to find the second angle of the triangle. Back to Question #4
Hint #5 Look for triangles for which you already know 2 angle measurements. Back to Question #5
Hint #6 We already know two of the angles in the bottom triangle, so we can find the third angle. Back to Question #6
Hint #7 Two of the angles of the triangle are exterior angles of the polygon. Back to Question #7
Hint #8 The sum of the interior angles of a polygon can be found using the formula 180(n-2) where n is the number of sides. Back to Question #8
Hint #9 Read the question and create an equation by translating the words into a math language. Back to Question #9
Hint #10 Find the first differences of the numbers in this list and look for a pattern. Back to Question #10
Hint #11 Make the angles that are congruent x and y as shown: x y x Back to Question #11 w Then you can set up 2 equations. One uses the three angles of the large triangle, and the other uses the three angles of the smaller triangle. Once you have the two equations it is possible to use systems to eliminate both x’s and y’s.
Hint #12 Find the measure of each interior angle of the polygon. Then find the base angles of the isosceles triangle formed. Then subtract the base angle from the interior angle. Back to Question #12