Answer:
1. As definition, in a function, the set of all possible inputs or possible x values is called the domain.
=> Option 2 is correct.
2. As definition, in a function, the set of all possible outputs or possible y values is called the range.
=> Option 3 is correct.
3. You pay a fixed amount of 70$ and 3$ for each movie.
=> A function that models the total cost: y = 70 + 3x
=> Option 1 is correct
4. Similar to the 3rd, you pay a fixed amount of 5$ to enter and 2$ for each ride.
=> A function that models the total cost: y = 5 + 2x
=> Option 3 is correct.
5. The average rate of change (R) of f(x) = x2 + 1 from x = 0 to x = 3 is actually the rate of change of line passes (0, 1) and (3, 10) as shown in picture.
=> R = (10 - 1)/(3 - 0) = 9/3 = 3
=> Option 1 is correct.
6. As property of vertical line: 75 = x - 10 + 20
=> x = 75 + 10 - 20 = 65 deg
As property of complement angles: 75 + y = 180
=> y = 180 - 75 = 105 deg
=> Option 2 is correct.
7. Yes, the two triangles are congruent (Side-Angle-Side case) with two sides are equal and the pair of angles created by those pair of 2 sides are also equal.
Hope this helps!
:)
Answer:
Step-by-step explanation:
case~2
Answer:
M∠DEC equals 123º.
Step-by-step explanation:
The sum of a triangle's three angles always equal 180º. The exterior angle, x, equals the two non-adjacent interior angles.
180 - {(x - 45)+(x - 12)} = m∠DEC
m∠DEC + x = 180
<u>(x - 45) + (x - 12) = x</u>
Solving for x:
(x - 45) + (x - 12) = x
x - 45 + x - 12 = x Remove parenthesis
2x - 57 = x Combine like terms
2x = x + 57 Add 57 to both sides
<u>x = 57</u><u> Subtract x from both sides</u>
Finding m∠D:
x - 45 = ?
<u>57 - 45 = </u><u>12º </u>
Finding m∠C:
x - 12 = ?
<u>57 - 12 = </u><u>45º </u>
<em>** </em><em>(Checking x: 12 + 45 = 57) </em><em>**</em>
<em>Finding </em>m∠DEC:
AC is a straight line, and because straight lines are equivalent to 180º, we subtract 57 from 180:
180 - 57 = 123º
Hope this helps,
❤<em>A.W.E.</em><u><em>S.W.A.N.</em></u>❤
IF i did my math correct it should be the 2nd answer b
