Answer:
1) 36 + 50 = 86 : Addition property of equality
2) m<D = m<ADB : If two angles have the same measure, then they are equal.
3) <D congruent to <ADB : if two angle are equal, then they are congruent.
4) <D, <ADB are alternate interior angles: assumed from diagram
5) <u>CD // AB</u> : if alternate interior angles are congruent, then the 2 lines cut by a transversal are //.
6) 130 + 50 = 180 : addition property of equality
7) m<E, m<BAE are supplements : if the sum of two angles equal to 180, then they are supplements.
8) <E, <BAE are same-side interior angles : assumed from diagram
9) <u>EF // AB</u> : if same-side interior angles are supplements, then the 2 lines cut by a transversal are //.
10) <u>CD // EF </u>: if two lines are // to the same line, then they are //.
im pretty sure this is the proof
-1 i believe, can i get brainliest?
Answer:
Part A: T(x) = $49.99x + $499.00
Part B: $748.95
Part C: T(x) = $49.99x + $24.99y + $499.00
Part D: $773.93
Step-by-step explanation:
Part A:
Let x represent the amount of games bought. Let T(x) represent total cost.
T(x) = $49.99x + $499.00
Part B:
T(x) = $49.99(5) + $499.00
T(x) = $249.95 + $499.00
T(x) = $748.95
Part C:
Let y represent the amount of controllers bought.
T(x) = $49.99x + $24.99y + $499.00
Part D:
T(x) = $49.99(4) + $24.99(3) + $499.00
T(x) = $199.96 + $74.97 + $499.00
T(x) = $773.93
The domain of the function is [-4, 4) and the range of the function is [-5, 2)
<h3>How to determine the domain and the range of the function?</h3>
<u>The domain</u>
As a general rule, it should be noted that the domain of a function is the set of input values or independent values the function can take.
This means that the domain is the set of x values
From the graph, we have the following intervals on the x-axis
x = -4 (closed circle)
x =4 (open circle)
This means that the domain of the function is [-4, 4)
<u>The range</u>
As a general rule, it should be noted that the range of a function is the set of output values or dependent values the function can produce.
This means that the range is the set of y values
From the graph, we have the following intervals on the y-axis
y = -5 (closed circle)
y = 2 (open circle)
This means that the range of the function is [-5, 2)
Read more about domain and range at:
brainly.com/question/10197594
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Answer:
Set in Interval Notation is: [ 3, ∞)
Step-by-step explanation:
Here, the given expression is:
R = {x| 3 less than or equal to x}
Here, the given set is given in the ROSTER FORM of set.
Now, converting the statement in mathematical form, we get:
R = { x : 3 ≤ x}
So, here: R is the SET OF AL ELEMENTS SUCH THAT each element is either EQUAL TO 3, or GREATER THAN 3.
Writing the st in SET BUILDER FORM, we get:
R = { 3, 4, 5, 6, ....... }
So, R in Interval Notation is: [ 3, ∞)