Question

1. The ratios of the measures of the angles of a triangle are 3:4:11. What is the measure of the largest angle?

2. Pepito conducted a random survey of 60 students and found that 36 are planning to vote for him a class president. If there are 460 students in Pepito's class, predict how many students will actually vote for him.

Answer 1

1. 110 degrees.

2. 276 students.

Explanation:

1. Converting the ratios to fractions:

3 + 4 + 11 = 18 so the largest angle is 11/18 of 180 degrees.

Answer is 180 * 11/ 18 = 110 degrees.

2. That would be 460 * 36 / 60

= 276 students.