The measure of one of the small angles of a right triangle is 45 less than twice the measure of the other small angle. find the measure of both angles.

The other two small angles are 45° each

Explanation:

Given data in the problem:

The triangle is a right triangle

thus,

one of the angle is 90°

now,

let the other two angles be x and y

thus,

it is given that:

x = 2y - 45°

also in a triangle

sum of all the angles = 180°

thus,

x + y + 90° = 180°

or

x + y = 90°

now, substituting the  value of x from the above relation between x and y, we get

2y - 45° + y = 90°

or

3y = 135°

or

y = 45°

also,

x = 2y - 45°

or

x = 2 × (45°) - 45°

or

x = 45°

hence, the other two small angles are 45° each

it is easily magnetized.

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.