Answer:
false in all cases
Step-by-step explanation:
1) they are not supplementary ,cuz sum is not 180
2) false,cuz sum is not 90°
3) measure of AOB is not 60° and OC not bisecting them
4) measure of AOB is not 60° and OB not bisectijg AOC
✌️:)
Answer: 24 goals
Step-by-step explanation:
Melissa makes 2 goals out of every 12 shots on goal.
This means that the amount of shots needed to score a goal for her is:
= Number of shots / Number of goals
= 12 / 2
= 6 shots
She scores a goal every 6 shots.
If she makes 144 shots therefore, she will score:
= Number of shots / Number of shots needed per goal
= 144 / 6
= 24 goals
for the system of equations
the three matrices needed to use Cramer's Rule are:
![D=\left[\begin{array}{cc}a_1&b_1\\a_2&b_2\end{array}\right] \\\\D_x=\left[\begin{array}{cc}c_1&b_1\\c_2&b_2\end{array}\right] \\\\D_y=\left[\begin{array}{cc}a_1&c_1\\a_2&c_2\end{array}\right]](https://tex.z-dn.net/?f=D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da_1%26b_1%5C%5Ca_2%26b_2%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5CD_x%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dc_1%26b_1%5C%5Cc_2%26b_2%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5CD_y%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da_1%26c_1%5C%5Ca_2%26c_2%5Cend%7Barray%7D%5Cright%5D)
.
To use Cramer's Rule we have to calculate the three determinants listed below of the matrices listed below.
![D=\left[\begin{array}{cc}2&5\\-3&-2\end{array}\right] \\\\D_x=\left[\begin{array}{cc}-13&5\\3&-2\end{array}\right] \\\\D_y=\left[\begin{array}{cc}2&-13\\-3&3\end{array}\right]](https://tex.z-dn.net/?f=D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%265%5C%5C-3%26-2%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5CD_x%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-13%265%5C%5C3%26-2%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5CD_y%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%26-13%5C%5C-3%263%5Cend%7Barray%7D%5Cright%5D)
.
The value of the determinants are shown below.
The value of y is 
.
Answer:
9.2
Step-by-step explanation:
Use law of sines
a/sinA = b/sinB
5/sin 31 = b/sin 108
b=9.2
