Step-by-step explanation:
a) The circumference of a circle is 360 degrees. so:
7x+15+8x+6x+30=360
21x+45=315
21x=135
x=<u>15</u>
b) This means 7(15)+15=120, 8(15)=120, and 6(15)+30=120. Thus, by the inscribed angle theorem, all the angles measure 60 degrees, and the triangle is thus <u>equilateral</u> and <u>isosceles</u>.
Answer:
$4748.80
Step-by-step explanation:
First, find the cost with 20% off, by multiplying the price by 0.8
5600(0.8)
= 4480
Find the cost with tax, by multiplying this by 1.06
4480(1.06)
= 4748.8
So, the sale price, including tax, is $4748.80
Answer:
The solution of this system is
(4). (6.0,5.4)
Step-by-step explanation:
First we have to find the equation of the line represented in the table; for that we have to find it's slope
and it's y-intercept
and then write it in the following form:

The slope
of the line we get from first two points:

thus we have

we find
by putting the point
into the function:


Thus we have

Now we have to find where this line intersects with
; to do this we just substitute
with
:



<em>We have the x-coordinate of the intersection.</em>
We find the y-coordinate by substituting
into
:


Thus the solution to the system is

which is option 4.