Acompany has determined that it must increase production of a certain line of goods by 112 times last years production. the new output will be 2885 items. what was last year's output?

26 items

Step-by-step explanation:

Let x denotes the last year's output.

Given : A company has determined that it must increase production of a certain line of goods by 112 times last years production.

The new output will be 2885 items.

According to the above statement we have the following equation :-

Divide both sides by 112, we get

Hence, the  last year's output =26 items

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.