Eric wants to send a package to his mother. If he chooses UPS, the fixed express fee is 10 dollars and each kilogram costs 2 dollars. For Fedex, the fixed fee is 20 dollars and each kilogram costs only 1 dollar. If the total costs of the two options are the same, how many kilogram of package does Ericsend? Write a system of equations in order to solve this problem.

10kg

Step-by-step explanation:

For UPS;

express fee = $10

If one kg costs $2, then x kg of package will coat $2x

Total cost of shipping xkg of package will be 10+2x

For FedEx;

Fixed express fee = $20

If one kg costs $1, then x kg of package will coat $1x

Total cost of shipping x kg of package is 20+x

If the total costs of the two options are the same, then;

10+2x = 20+x

2x-x = 20-10

x = 10.

Hence Eric sent 10kg of package

∠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.