If you solve by factoring, for what values of x is x^2+2x=24 true?
a.) -4 & 6
b.) 6 & 4
c.) -6 & -4
d.) 4 & -6

Step-by-step explanation:

x^2+2x=24 is equivalent to x^2+2x-24.

You know that the sum of two numbers has to be 2 and the product -24. The only numbers which fit these circumstances are 6 and -4. Now you can factor the expression.

(x+6)(x-4)=0

Using zero product property, you get:

x+6=0 which means x=-6

x-4=0 which means x=4

Using substitution you can check your answers!

Hope this helps! :)

∠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.