Answer:
x = 12
Step-by-step explanation:
By applying geometric root theorem in the given triangle,
Therefore, x = 12 will be the answer.
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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Could you take a picture that looks more clear so I can figure it out? Thank u!
Answer:
y - intercept. = 2.
Step-by-step explanation:
Given : The equation of a line is 5x − 3y = 6.
To find : Which is the y-intercept of the line.
Solution : We have given 5x − 3y = 6.
Equation of line y = mx +b
Where , m = slope , y intercept = b
Now we convert the 5x − 3y = 6 in line form y = mx +b
5x − 3y = 6
On subtracting both sides by 5x
-3x = - 5x + 6
On dividing both sides by - 3.
x = 
.
We cans see m = 
, y - intercept. = 2.
Therefore, y - intercept. = 2.
Answer:
Remaining tickets left to distribute, A = (300 - 10m)
Step-by-step explanation:
a) Let the number of choir members be m
Let the number of tickets remaining after the distribution be A
Each choir member is to get 10 tickets each.
Number of tickets to be given to the members = 10m
original number of tickets = 300
So, number of tickets remaining after distribution, A = 300 - 10m (provided that m ≤ 30)
b) The independent variable in this expression is m (the number of choir members)
And the dependent variable is A (the number of tickets left after the distribution which depends on the number of choir members, m)
Hope this Helps!!!
