A hot air balloon ascended to a height of 25 meters 2 minutes after launch. After some time, the balloon's altitude began to change by -2⅕ meters every minute for 7 minutes. To avoid a tree, the balloon flew up by 8½ meters. What is the new altitude of the balloon? expression for problem?

18.1 m

Step-by-step explanation:

For this problem, we will simply use the initial height of 0 meters, the height of 25 meters after 2 minutes, the decline of 2.2 meters every minute for 7 minutes, and a final increase of 8.5 meters to find the final altitude of the ballon.

0m + 25m - 2.2m(7) + 8.5m = ?

25m - 15.4m + 8.5m = ?

9.6m + 8.5m = ?

18.1m = ?

Hence, the final altitude of the ballon is 18.1m.

Cheers.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

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