First, let's turn this sentence into a mathematical expression:
The quotient of the opposite of 30 and 6 means we're dividing negative 30 by 6. The next part, "plus the opposite of 8" means we want to add -8 to whatever we get from -30/6. So we have:


Answer:
Common difference is 13 for this arithmetic sequence 29,42,55,68,...
Step-by-step explanation:
Given the arithmetic sequence 29,42,55,68,...
we have to find the common difference of the above sequence.
Common difference of arithmetic sequence is the difference between two successive terms. Therefore, to find common difference we take any pair of successive numbers, and subtract.
Common difference,
d=42-29=13
d=55-42=13
d=68-55=13
Hence, the difference between two successive terms is 3
∴ Common difference is 13
Step-by-step explanation:
Answer:
y=3
Step-by-step explanation:
Let's solve your equation step-by-step.
5y−3y+1=7
Step 1: Simplify both sides of the equation.
5y−3y+1=7
5y+−3y+1=7
(5y+−3y)+(1)=7(Combine Like Terms)
2y+1=7
2y+1=7
Step 2: Subtract 1 from both sides.
2y+1−1=7−1
2y=6
Step 3: Divide both sides by 2.
2y
/2
=
6
/2
y=3
You can conclude the angles are approximately
.. ∠L ≈ 27.66°
.. ∠M ≈ 111.80°
.. ∠N ≈ 40.54°
The smallest angle will be opposite the shortest side; the largest angle will be opposite the longest side.
Answer:
x =4
Step-by-step explanation: