Around the outside of a circle measures 360°. If arc ADB measures 250°, then arc AB measures 360-250 which is 110°. Because point C is the center of the circle, then angle ACB is a central angle. By definition of an arc intercepted by an angle, they are the exact same measure in degrees. So if arc AB = 110, then the measure of the angle ACB also measures 110.
The solution is
Step-by-step explanation:
To solve the equation by substitution method, we need to substitute an equivalent value of a variable in one equation to an another equation.
The given two equations are and .
Thus, we know the equivalent value of y from one equation, let us subsitute the value of y from the equation to the equation
Subtracting 2x from both sides of the equation, we get,
Adding 8 to both sides of the equation, we get,
Dividing by 2 on both sides of the equation,
Now, substituting in the equation , we get,
Thus, the solution is
Answer:
if you mean like an example, cooking instructions, if they ask for a certain amount of time for this many of the item, but not the amount you want, you can use another example of time to find unit rate then figure out how long you need to cook it for with your desired number of items
Step-by-step explanation:
a. The equation that models the amount in the savings account in terms of the number of months is y = 8107 - 100 x
b. He will have $4507 after 36 months
Step-by-step explanation:
The form of the slope-intercept equation is y = m x + b, where
- m is the slope (constant rate)
- b is the intercept (initial amount value y at x = 0)
∵ The man decides to take out $100 per month from his
savings account
- That means the constant rate is 100 dollars per month, that money
will detected from his initial money every month
∴ m = 100
∴ The form of the equation is y = b - 100 x, where
- x represents the number of the months
- y represents the amount of money in his saving account in x months
To find the value of b substitute x and y by the given information
∵ He has $3507 in his account after 46 months
∴ x = 46 and y = 3507
∵ 3507 = b - 100(46)
∴ 3507 = b - 4600
- Add 4600 to both sides
∴ 8107 = b
∴ y = 8107 - 100 x
a. The equation that models the amount in the savings account in terms of the number of months is y = 8107 - 100 x
∵ y = 8107 - 100 x
∵ x = 36
∴ y = 8107 - 100(36)
∴ y = 8107 - 3600
∴ y = 4507
b. He will have $4507 after 36 months
Learn more:
You can learn more about the linear equations in brainly.com/question/9801816
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