The sum of two consecutive integers is no more than 209. what is the larger of the two integers?

105 is your answer

Step-by-step explanation:

Let the two consecutive integers be: x , x + 1

Set the equation

x + x + 1 = 209

Simplify. Combine like terms.

(x + x) + 1 = 209

2x + 1 = 209

Isolate the x. Note the equal sign, what you do to one side, you do to the other.

Subtract 1 from both sides

2x + 1 (-1) = 209 (-1)

2x = 209 - 1

2x = 208

Isolate the x. Divide 2 from both sides

(2x)/2 = (208)/2

x = 208/2

x = 104

Plug in 104 for x.

(x + 1) = (104) + 1 = 105

105 is your answer

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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