From the given figure find the value of x and y

The values of x and y are and

Explanation:

From the given figure, we can see that

It is obvious from the figure that

Since, and

Thus, we have,

Thus, the value of y is

Now, we shall find the value of x.

From the figure, we can see that the sides AC and BC of are equal.

Hence, the is an isosceles triangle.

By isosceles triangle theorem,

"In any isosceles triangle, the angles opposite to the congruent sides are also congruent".

Hence, the congruent sides are AC and BC. The angles opposite to the congruent sides are

The value of x can be determined by adding all the angles in the

Thus, we have,

Thus, the value of x is

∠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