(PLEASE HELP!) Write and solve a system of two linear equations with the defined variables to solve the given problem.
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During the month of April, a homeowner used 770 units of electricity (x) and 90 units of natural gas (y) for a total combined utility bill of $210. In May, 830 units of electricity and 45 units of gas were used at a combined cost of $171.75. If the unit cost for each type of energy remained constant for both months, find the unit cost for each energy source.

I uploaded the answer to a file hosting. Here's link:

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step-by-step explanation:

not sure about this one man

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.