Question

2. Solve the following: (a) The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7. The highest score is 87. What is the lowest score? (b) In an isosceles triangle, the base angles are equal. The vertex angle is 40°. What are the base angles of the triangle? (Remember, the sum of three angles of a triangle is 180°). (c) Sachin scored twice as many runs as Rahul. Together, their runs fell two short of a double century. How many runs did each one score?

please show in steps. ​

Answer 1

Answer:

(a) 40 I guess

(b) 70° I guess

(c) ----------------

Answer 2

Answer:

Step-by-step explanation:

a) Let the lowest marks be x.

          2x + 7 = 87

          2x = 87 - 7

               = 80

             x =  40

The lowest marks is 40.

b) Let the base angles be x.

         40° + x + x = 180° ( linear pair)

          2x = 180 - 40

                = 140°

          x  =  70°

c) Let Rahul's score be x. So Sachin's score is 2x.

          x + 2x = 200 - 2

          3x       = 198

           x = 66