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:
(4, 7/2)
Step-by-step explanation:
Take the mean of the x-coordinates and the mean of the y-coordinates.
x = (-1 + 9)/2 = 8/2 = 4
y = (2 + 5)/2 = 7/2
Answer: (4, 7/2)
2x + y = 7
y = -2x + 7 where slope m = -2 and b= y intercept = 7
Answer is C
slope : -2 and y intercept = 7
Answer:
Step-by-step explanation:
Area of rectangle = length * width
Area of rectangle = 55x⁶ + 22x⁴
= 5*11*x⁶ + 2 *11*x⁴
= 11x⁴*(5x² + 2)
width = 11x⁴
So, length = 5x² + 2
Answer:
Step-by-step explanation:
Given.
In a deck, there are:
Required
Determine the probability that a selected card is a spade
This is represented as: P(Spade) and it is calculated using:
Substitute 13 for Spade and 52 for Cards
<em>Hence, the required probability is 0.25</em>
