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
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Answer:
14.29
Step-by-step explanation:
Let p be the price of the cd
we take the price of the cd plus the tax and it must be less than or equal to 15
the tax is the price of the cd times 5 %
p + p*.05 ≤15
Combine like terms
p*1.05 ≤15
Divide each side by 1.05
p ≤15/1.05
p ≤14.28571429
Rounding to the nearest cent
p ≤14.29
The maximum price is 14.29
Answer:
oh wow thats alot
Step-by-step explanation:
Answer:
96
Step-by-step explanation:
area of a triangle = h x b/2 which means ill do
8 x 8 = 64
then 64/2
32
8x8 (again) = 64
64+32 = 96
There are 12 five minutes in one hour and 1 hour correspond to 360°, then each 5 minutes represents 360/12 = 30°
From 1:20 to 1: 55 we have 35 minutes or 7 x 5 minutes or
7 x 30° = 210°
To convert degree into radian, we apply the following formula:
degree/180° = radian/π
210/180 = r/π or (cross multiplication) →Radian = (π x 210/180
→ Radian = 7π/6 (simplify by 30)
