Wouldn’t you add both of the equations together and set them equal to 180 and whatever you get for x just plug back in to find the values of the angles??
Answer:
This test batch can be chosen in 2380 ways
Step-by-step explanation:
The order in which the batteries are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
In how many ways can this test batch be chosen?
4 batteries from a set of 17. So
![C_{17,4} = \frac{17!}{4!(17-4)!} = 2380](https://tex.z-dn.net/?f=C_%7B17%2C4%7D%20%3D%20%5Cfrac%7B17%21%7D%7B4%21%2817-4%29%21%7D%20%3D%202380)
This test batch can be chosen in 2380 ways
Two complementary angles must add to 90 degrees, and if you divide 90 into thirds (two parts for the larger angle, one for the smaller), then you get 30 degrees.
If the smaller angle is 30 degrees, then the larger is two times that, which is 60. 60 + 30 = 90, so the larger angle is equal to 60 degrees.
The area of the triangle above will equal one half of a rectangle that is 5 units long and 6 unites wide.