In any cyclic quadrilateral, angles opposite one another are supplementary, meaning
![m\angle K+m\angle I=m\angle L+m\angle J=180^\circ](https://tex.z-dn.net/?f=m%5Cangle%20K%2Bm%5Cangle%20I%3Dm%5Cangle%20L%2Bm%5Cangle%20J%3D180%5E%5Ccirc)
and given that
, we have
.
By the inscribed angle theorem,
![m\angle JLK=\dfrac12m\widehat{KJ}](https://tex.z-dn.net/?f=m%5Cangle%20JLK%3D%5Cdfrac12m%5Cwidehat%7BKJ%7D)
![m\angle ILJ=\dfrac12m\widehat{IJ}](https://tex.z-dn.net/?f=m%5Cangle%20ILJ%3D%5Cdfrac12m%5Cwidehat%7BIJ%7D)
and since
![m\angle L=m\angle JLK+m\angle ILJ](https://tex.z-dn.net/?f=m%5Cangle%20L%3Dm%5Cangle%20JLK%2Bm%5Cangle%20ILJ)
we have
![m\angle L=\dfrac{97^\circ+59^\circ}2\implies\boxed{m\angle L=78^\circ}](https://tex.z-dn.net/?f=m%5Cangle%20L%3D%5Cdfrac%7B97%5E%5Ccirc%2B59%5E%5Ccirc%7D2%5Cimplies%5Cboxed%7Bm%5Cangle%20L%3D78%5E%5Ccirc%7D)
and it follows that
![m\angle J=180^\circ-m\angle L\implies\boxed{m\angle J=102^\circ}](https://tex.z-dn.net/?f=m%5Cangle%20J%3D180%5E%5Ccirc-m%5Cangle%20L%5Cimplies%5Cboxed%7Bm%5Cangle%20J%3D102%5E%5Ccirc%7D)
Answer: total net sales = $7950
Step-by-step explanation:
The formula for determining total net sales is expressed as
total net sales = Gross sales - (sales returns + allowances + discount)
Gross sales means total sales.
From the information given,
Gross sales = $9000
Discounts = $900
Returns = $150
Allowances = 0(this is because it was not given)
Therefore,
total net sales = 9000 - (900 + 150)
= 9000 - 1050
total net sales = $7950
The answer would be 24.6 cm
Roots can be written as fraction exponents. An exponent of 1/2 means the square root.