Answer:
2) Angle 6 and Angle 5, Angle 3 and Angle 2
100% correct don't worry ;)
Step-by-step explanation:
6 & 5 and 2&3 are the adjacent angles
When calculating consecutive integers, the smaller number is x and the larger number is (x + 1).
So the equation you can use is x + (x + 1) = 5 + 3(x + 1)
This is because the sum of the consecutive integers are equal to 5 more than 3 times the larger integer.
Now simplify:
x + (x + 1) = 5 + 3(x + 1)
2x + 1 = 5 + 3(x + 1)
2x + 1 = 5 + 3x + 3
2x + 1 = 3x + 8
Now isolate the variable:
2x + 1 = 3x + 8
Subtract 2x from both sides:
1 = x + 8
Subtract 8 from both side:
-7 = x
x = -7
So the smaller number is -7 and the larger number is -6.
Now check your answer:
-7 + (-7 + 1) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 - 6 = 5 + 3(-7 + 1)
-13 = 5 + 3(-7 + 1)
-13 = 5 + 3(-6)
-13 = 5 + (-18)
-13 = 5 - 18
-13 = -13
This works!
So the integers are -7 and -6.
Surface area of the cylinder is 294π in².
Step-by-step explanation:
- Step 1: Surface area of a cylinder = 2πrh + 2πr² Here, r = 7 in, h = 14 in
⇒ Surface Area = 2 × π × 7 × 14 + 2 × π × 7 × 7
= π (196 + 98) = 294π in²
Are there options to this?
Answer:
m = -3m+3n/-2b
Step-by-step explanation:
Slope is expressed as;
m = y2-y1/x2-x1
Given the coordinates (a+b,4m-n) and (a-b,m+2n)
m = (m+2n)-(4m-n)/(a-b)-(a+b)
m = m+2n-4m+n/a-b-a-b
m = m-4m+2n+n/a-a-b-b
m = -3m+3n/-2b
Hence the required slope is m = -3m+3n/-2b
