In Peekskill, NY, the temperature at 6:00 a. m. was -12°F. At noon, the temperature was the exact opposite of Buffalo's temperature at 6:00 a. m. At midnight, a meteorologist recorded the
temperature as -6°F in Peekskill. He concluded that "For temperatures below zero, as the
temperature increases, the absolute value of the temperature decreases." Is his conclusion valid?
Explain and use a vertical number line to support your answer.

∠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.

i can you with this sweetie!

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: