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2.9 warm-up

2.9 warm-up. When six students and two adults saw a movie, the total ticket cost was $50. Adult tickets cost twice as much as student tickets. Which number sentence best represents the situation ? a. x+2x=50x b. 6x+2=50 c. 6x+2( x / 2 )=50 d. 6x+2(2x)=50. 10. 2.9 warm-up.

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2.9 warm-up

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  1. 2.9 warm-up When six students and two adults saw a movie, the total ticket cost was $50. Adult tickets cost twice as much as student tickets. Which number sentence best represents the situation ? a. x+2x=50x b. 6x+2=50 c. 6x+2(x/2)=50 d. 6x+2(2x)=50 10

  2. 2.9 warm-up When six students and two adults saw a movie, the total ticket cost was $50. Adult tickets cost twice as much as student tickets. Which number sentence best represents the situation ? a. x+2x=50x b. 6x+2=50 c. 6x+2(x/2)=50 d. 6x+2(2x)=50 10

  3. 3.4 Parallel Lines and the Triangle Angle-Sum theorem You will be able to identify the different types of triangles. You will use parallel lines to solve for angles in a triangle Pardekooper

  4. Lets start with a theorem • Triangle Angle-Sum Theorem • The sum of the measures of the angles of a triangle is 1800. C A + B + C = 1800 A B Pardekooper

  5. Combine like terms Substitution How does it work ? Combining like terms C A + B + C = 1800  -sum • Find the value of x for the following triangle. substitution 65 + x + 39 = 180 390 Triangle Angle-Sum simplify x + 104 = 180 x + 104 - 104 = 180 - 104 subtraction x0 650 x = 76 A B simplify subtraction Pardekooper

  6. Now, lets look at the different types of triangles. • Equiangular  • All angles are congruent Pardekooper

  7. Now, lets look at the different types of triangles. • Equilateral  • All sides are congruent Pardekooper

  8. Now, lets look at the different types of triangles. • Isosceles  • Two sides are congruent Pardekooper

  9. Now, lets look at the different types of triangles. • Acute  • All angles are less than 900 Pardekooper

  10. Now, lets look at the different types of triangles. • Right  • One angle is 900 Pardekooper

  11. Now, lets look at the different types of triangles. • Obtuse  • One angle is greater than 900 Pardekooper

  12. Now, lets look at the different types of triangles. • Scalene  • No sides are congruent Pardekooper

  13. Here are some terms Exterior angle of a polygon Remote interior angles

  14. Just one more theorem • Triangle Exterior Angle Theorem • The measure of each exterior angle of a triangle equals the sum of the measure of its two remote interior angles. C mA = mB + mC A B Pardekooper

  15. Lets try a problem. 700 x0 1130 mA = mB + mC  Exterior  113 = 70 + x substitution subtraction 113 - 70 = 70 - 70 + x 43 = x simplify Pardekooper

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