Answer:

Step-by-step explanation:
<u>Step 1: Set the second equation into the first
</u>




<u>Step 2: Solve the second equation
</u>


Answer: 
Answer:
=
+ 6
Step-by-step explanation:
The terms have a common difference d between consecutive terms, that is
10 - 4 = 16 - 10 = 22 - 16 = 6
To obtain the next term add 6 to the previous term ( recursive rule ), thus
=
+ 6 with a₁ = 4
Answer:
33
Step-by-step explanation:
Given that :
Card numbered from: 500 - 799
The required number of values must meet both conditions 1 and 2
Condition 1 : first of the 3 digits is odd :
500 - 599 = 100
700 - 799 = 100
(100 + 100) = 200 cards
Condition 2: three digits is divisible by 6
{500 - 599} and {700 - 799}
The numbers divisible by 6 are 33
Answer:
The angles are vertical
Step-by-step explanation:
x+42+2x+1=180
put the like terms together i.e 2x+x+42+1=180
you get: 3x+43=180
Take 43 to th other side of 180 i.e 3x=180-43 i.e (180-43=137)
You get 3x=137
Divide both sides by 3
you get x=45.666666666667(Round off to get 45.67)
Substitute the value of x to the angles
x+42(45.67+42=87.67)
2x+1(2(45.67)+1=92.34
Add 87.67+92.34=180
THis shows that the angles are vertical
It would be 27/8 = 3 3/8 next 18/5 = 3 3/5 after that 19/6 = 3 1/6 lastly 35/4 = 8 3/4
Hope this helped!