Answer:
-10.2n - 1
Step-by-step explanation:
We have two expressions in variable n and we have to add the two expressions.
An important thing to note is that only like terms can be added. i.e. the term with "n" can only be added or subtracted to the term with "n". Similarly a constant can only be added or subtracted to a constant.
Thus, the two given expressions add up to -10.2n - 1
We can conclude that the value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.
<h3>
What are angles?</h3>
- An angle is a figure in Euclidean geometry formed by two rays, called the sides of the angle, that share a common endpoint, called the vertex of the angle.
- Angles formed by two rays are located in the plane containing the rays.
- Angles are also formed when two planes intersect.
- These are known as dihedral angles.
So,
- ∠MNQ = ∠MNP + ∠PNQ
- 8x + 12 = ∠MNP + 78
- 8x + 12 - 78 = ∠MNP
- 8x - 66 = ∠MNP
- 8x = ∠MNP + 66
- x = (∠MNP + 66)/8
Now, substitute 'x = (∠MNP + 66)/8' in 8x + 12:
- ∠MNQ = 8x + 12
- ∠MNQ = 8 ×(∠MNP + 66)/8 + 12
- ∠MNQ = ∠MNP + 66 + 12
- ∠MNQ = ∠MNP + 78
Hence, m∠RNM = ∠RNQ - ∠MNP + 78
Therefore, in the given question value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.
Know more about angles here:
brainly.com/question/25716982
#SPJ9
Obtuse angles are found in a polygon.
Answer:
w=22
Step-by-step explanation:
5(w-2)+10=3(2w-9)+5
1) Use the Distributive Property for 5(w-2) and 3(2w-9):
5w-10+10=6w-27+5
2) Combine alike terms:
5w=6w-22
3) Add a 22 to both sides:
22+5w=6w
4)Subtract 5w from both sides:
w=22
<span>Simplifying
2x + -3 = -1x + 3
Reorder the terms:
-3 + 2x = -1x + 3
Reorder the terms:
-3 + 2x = 3 + -1x
Solving
-3 + 2x = 3 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x' to each side of the equation.
-3 + 2x + x = 3 + -1x + x
Combine like terms: 2x + x = 3x
-3 + 3x = 3 + -1x + x
Combine like terms: -1x + x = 0
-3 + 3x = 3 + 0
-3 + 3x = 3
Add '3' to each side of the equation.
-3 + 3 + 3x = 3 + 3
Combine like terms: -3 + 3 = 0
0 + 3x = 3 + 3
3x = 3 + 3
Combine like terms: 3 + 3 = 6
3x = 6
Divide each side by '3'.
x = 2
Simplifying
x = 2
answer x=2
Hope I Helped:D</span>
