Okay so in order to find your slope you're going to need to label your first set of coordinates! Since you know that -6 is X, you're going to label it X(subscript 1) and since you know that 7 is Y, you're going to label it Y(subscript 1).
You're going to want to do the same thing with the other set of coordinates as well. -6 will be X(subscript 2) and -2 will be Y(subscript 2).
Then you need to set the labeled coordinates up in the following formula:
m=y(subscript 2) - y(subscript 1) / x(subscript 2) - x(subscript 1)
and then solve for your slope!
We can find the measure of angle B using the Law of cosines.
According to the
Law of Cosines:
![b^{2} = a^{2} + c^{2} - 2ac*cos(B) \\ \\ 2ac*cos(B)= a^{2} + c^{2}- b^{2} \\ \\ cos(B)= \frac{a^{2} + c^{2}- b^{2}}{2ac}](https://tex.z-dn.net/?f=%20b%5E%7B2%7D%20%3D%20a%5E%7B2%7D%20%2B%20c%5E%7B2%7D%20-%202ac%2Acos%28B%29%20%5C%5C%20%20%5C%5C%20%0A2ac%2Acos%28B%29%3D%20a%5E%7B2%7D%20%2B%20c%5E%7B2%7D-%20b%5E%7B2%7D%20%5C%5C%20%20%5C%5C%20%0Acos%28B%29%3D%20%5Cfrac%7Ba%5E%7B2%7D%20%2B%20c%5E%7B2%7D-%20b%5E%7B2%7D%7D%7B2ac%7D%20)
Using the values of a,b and c in the above equation we get:
![cos(B)= \frac{31^{2}+17^{2}-15^{2}}{2*31*17} \\ \\ cos(B)= \frac{1025}{1054} \\ \\ B=cos^{-1}(\frac{1025}{1054}) \\ \\ B=13.47](https://tex.z-dn.net/?f=cos%28B%29%3D%20%5Cfrac%7B31%5E%7B2%7D%2B17%5E%7B2%7D-15%5E%7B2%7D%7D%7B2%2A31%2A17%7D%20%20%5C%5C%20%20%5C%5C%20%0Acos%28B%29%3D%20%5Cfrac%7B1025%7D%7B1054%7D%20%5C%5C%20%20%5C%5C%20%0AB%3Dcos%5E%7B-1%7D%28%5Cfrac%7B1025%7D%7B1054%7D%29%20%20%5C%5C%20%20%5C%5C%20%0AB%3D13.47)
Thus measure of angle B is 13.47 degrees. We can convert the decimal part to minutes by multiplying it by 60.
So measure of angle B will be 13 degrees and (60 x 0.47) minutes which equals 13 degrees and 28 minutes or 13° 28'.
Thus option A gives the correct answer.
Answer:
x=5
so u replace it and 7 times 5 is 45-6 which equals to 39 so the measure of WZ is equal to 39
ur welcome lol
Answer:
BC = 5
Step-by-step explanation:
AB = 6
BC = 6x -1
AC = 11x
We know that AC is the same length as AB and BC combined. The way to finding the length of BC is by adding the values/equations of these segments and setting them equal to the equation of AC. Then, you can isolate the "x" variable. Finally, you can plug that answer into the BC equation to find the numerical value.
AB + BC = AC
(6) + (6x - 1) = 11x
6x + 5 = 11x
5 = 5x
x = 1
BC = 6x - 1
BC = 6(1) - 1
BC = 6 - 1
BC = 5
Answer:
1/8 = .125.
Step-by-step explanation:
This is a terminating decimal because it ends and has a finite number of digits.