How can I solve for y and what is the answer

y = 38

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Consider the angles in the large outer triangle, then

x + 46 + 78 = 180

x + 124 = 180 ( subtract 124 from both sides )

x = 56

Consider the 3 angles in the smaller inner triangle, then

y + x + 86 = 180 , that is

y + 56 + 86 = 180

y + 142 = 180 ( subtract 142 from both sides )

y = 38

∠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.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950