Question

pLEASE ANSWER THIS ALGEBRA 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?

Answer 1

Answer:

(A) 40 is the lowest score

(B) 70°

(C) Sachin's score = 132, Rahul = 66

Step-by-step explanation:

(A) 2x+7= 87

2x=87-7

2x/2=80/2

x=40

(B). base angle + base angle + vertex angle = 180°, as base angles are equal in isosceles triangle, we can say that the s of both base angles is equal to 2x

2x + 40° = 180°

2x = 140°

x = 70°

(C). 2x + x = 198

3x/3 = 198/3

x = 66 (rahul score )

2 × x = 2 × 66 = 132 (Sachin's score