The difference of two numbers is 7. if the sum of the smaller number and the square of the larger number is 125, what is the larger number?

The largest numbers is either -12 or 11

Step-by-step explanation:

Let the numbers be a and b and a be the largest number.

The difference of two numbers is 7

        a - b = 7 eqn 1

The sum of the smaller number and the square of the larger number is 125

        a² + b = 125 eqn 2

eqn 1 + eqn 2

       a² + a - 132 = 0

       ( a + 12 ) (a - 11) = 0

        a = -12 or a  = 11

So the largest numbers is either -12 or 11

a 360 degree rotation

step-by-step explanation:

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc