From her home, Glera traveled 5.8 miles north to the grocery stare, then 2.1 mlles west to the library. What is the distance thom her home to the library

6.16 miles

Step-by-step explanation:

When solving word problems like these, I like to start by drawing a picture.

So, Glera starts at her home and moves north by 5.8 miles. Then, she walks west by 2.1 miles to the library. The problem wants you to find the distance from her home to the library.

I've attached a drawing I made to help me visualize the problem. The distance from her home to the library is the hypotenuse of the triangle. To solve for it, you would use the equation + = .

a and b are the sides of the triangle, and c is the hypotenuse.

 + =

33.64 + 4.41 =

38.05 =

To find c, you would take the square root of 38.05, which is about 6.16 if you use a calculator.

So, the distance from her home to the library is 6.16 miles!

∠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.