11 less than three times a number is the same as 75 less than the product of -1 and the number. Find the value of the number.

Let's translate the two expressions into formulae:

11 less than three times a number:

75 less than the product of -1 and the number

Those two are the same, so we have

Add to both sides:

Add 11 to both sides:

Divide both sides by 4 to get the final answer.

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation:

∠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.