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olya-2409 [2.1K]

3 years ago

9

peter owns a lawn mowing service.For every 3 hours of lawn mowing,peter charges $28.80.Write an equation that models the relatio

nship between the total charge,y,and the number of hours,h,that peter works.

1 answer:

Daniel [21]3 years ago

8 0

$\$ 28.80\div 3=\$ 9.6$ - charge per hour

$\boxed{y=9.6h}$

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Step-by-step explanation:

step 1

Let

x-----> the measure of arc EHL

y----> the measure of arc EVL

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

so

$m$

we have

$m$

substitute

$72\°=\frac{1}{2}(y-x)$

$144\°=(y-x)$

$y=144\°+x$ ------> equation A

Remember that

$x+y=360\°$ -----> equation B ( complete circle)

substitute equation A in equation B and solve for x

$x+(144\°+x)=360\°$

$2x=360\°-144\°$

$x=216\°/2=108\°$

Find the value of y

$y=144\°+x$

$y=144\°+108\°=252\°$

therefore

The measure of arc EHL is $108\°$

The measure of arc EVL is $252\°$

step 2

Find the measure of angle LVE

we know that

The inscribed angle measures half that of the arc comprising

Let

x-----> the measure of arc EHL

$m$

we have

$x=108\°$

substitute

$m$

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