Since it is shown that 2 of the sides of the triangle are congruent, we can assume that they have the same angle measures.
so to solve for the missing angle you can set up an equation equal to 180 since all triangles add up to 180 degrees.
21 + 21 + x = 180
42 + x = 180
x = 138
the value of the missing angle should be 138 degrees
hope this helped
Answer: Choice A
Step-by-step explanation:
Answer:
2, 12
Step-by-step explanation:
LCM = Least common multiple
LCM of 2 and 12 is 12
2 4 6 8 10 12
12
LCM of 6 and 8 is 24
6 12 18 24
8 16 24
LCM of 3 and 8 is 24
3 6 9 12 15 18 21 24
24
LCM of 12 and 24 is 24
12 24
24
Answer:
42580 miles
Step-by-step explanation:
Mean = ![\mu = 47500](https://tex.z-dn.net/?f=%5Cmu%20%3D%2047500)
![\sigma = 3000](https://tex.z-dn.net/?f=%5Csigma%20%3D%203000)
The manufacturer does not want to replace more than 5% of the tires
![P(X\leq x)=5\%](https://tex.z-dn.net/?f=P%28X%5Cleq%20x%29%3D5%5C%25)
![P(\frac{x-\mu}{\sigma}\leq \frac{x-47500}{3000})=0.05](https://tex.z-dn.net/?f=P%28%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5Cleq%20%5Cfrac%7Bx-47500%7D%7B3000%7D%29%3D0.05)
By using normal table values :
![\frac{x-47500}{3000}=-1.64](https://tex.z-dn.net/?f=%5Cfrac%7Bx-47500%7D%7B3000%7D%3D-1.64)
![x=(-1.64 \times 3000)+47500](https://tex.z-dn.net/?f=x%3D%28-1.64%20%5Ctimes%203000%29%2B47500)
![x=42580](https://tex.z-dn.net/?f=x%3D42580)
Hence the approximate number of miles for the warranty is 42580 miles
Answer:
-11
Step-by-step explanation: