Will award ! trisha needs to make at least 50 gift bags for an event. each gift bag will contain at least 1 thumb drive or 1 key chain. she wants to use at least 5 times as many key chains as thumb drives. she has 25 thumb drives and 200 key chains. let x represent the number of key chains. let y represent the number of thumb drives. write an inequality for this situation and graph the inequality.

Step-by-step explanation:

STEP 1 : First we draw the graph for by letting

it is denoted by red colour

STEP 2 : Now we draw the graph for by letting

It is denoted by orange colour

STEP 3 : Now we draw for by letting

It is denoted by green colour.

STEP 4 : Now we draw for by letting

It is denoted by blue colour.

step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.

∠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.