Answer:
Therefore
m Angle 1 = m Angle 2 = 31° ...Justified
Step-by-step explanation:
Given:
m angle 1 = ( 3x + 10 )°
m angle 2 = ( 5x - 4 )°
To Find:
m∠1 = ?
m∠2 = ?
Solution:
Vertical Angles:
The angles opposite each other when two lines cross. They are always equal.
∴ m Angle 1 = m Angle 2
Substituting the given values we get
![3x+10=5x-4\\\\2x=14\\\\x=\dfrac{14}{2}=7\\\therefore x =7](https://tex.z-dn.net/?f=3x%2B10%3D5x-4%5C%5C%5C%5C2x%3D14%5C%5C%5C%5Cx%3D%5Cdfrac%7B14%7D%7B2%7D%3D7%5C%5C%5Ctherefore%20x%20%3D7)
Substituting ' x ' in Angle 1 and Angle 2 we get
m Angle 1 = 3 × 7 + 10 = 31°
m Angle 2 = 5 × 7 - 4 = 31°
Therefore
m Angle 1 = m Angle 2 = 31° ...Justified
Answer:
9,375
Step-by-step explanation:
Each number is multiplied by 5 to get the next number. We can see this by testing multiple number on this set of data.
3*5=15
15*5=75
75*5=375.
Thus, to find the next term in the set of data, we must multiply the last number that we are given by 5.
1875*5=9,375
The next number is 9,375
Hope this helps!
Answer:
720
Step-by-step explanation:
If every person has to choose a different character, the first person to choose a character has 6 options, the second has 5, the third has 4, the fourth has 3, and the last person has only two options. Therefore, the total number of ways you can do this if all 5 people dress up as a different character is:
![n=6*5*4*3*2\\n=720](https://tex.z-dn.net/?f=n%3D6%2A5%2A4%2A3%2A2%5C%5Cn%3D720)
There are 720 ways.
The values of k are 4,5,6
It would be a 1 in 4 chance