The time required to do a job varies inversely as the number of people working. it takes 6 hr for 8 bricklayers to build a park wall. how long will it take 7 bricklayers to complete the job?

6  6/7 hrs

Step-by-step explanation:

The general equation for inverse proportion is y = k/x, where k is the constant of proportionality.  We need to determine the value of k from the given data:

y = k/x becomes 6 = k/8, so that k = 48.

Then y = 48/x represents the length of time required for x bricklayers to build the wall.  

If there are 7 bricklayers, then x = 7, and y = 48/7

It requires 7 bricklayers 48/7 hours (6  6/7 hours) to build the wall.

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.

substitute,

circle 1 = 5

circle 2 = 20

circle 3 = 44

in this case no matter how you add, you will always get a perfect square..

hence proved

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