Reasons:
Reason 3: Congruent supplements theorem
Statements:
Statement 4: Angle 1 is congruent with angle 2
Answer: Option D:
Reason 3: Congruent supplements theorem.
Statement 4: Angle 1 is congruent with angle 2
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (3, 1), hence
y = a(x - 3)² + 1
To find a substitute (- 2, - 4) into the equation
- 4 = a(- 2 - 3)² + 1
- 4 = 25a + 1 ( subtract 1 from both sides )
25a = - 5 ( divide both sides by 25 )
a = - 
= - 
y = - (x - 3)² + 1 ← in vertex form
To find the average, add up all the numbers, then divide that answer by the quantity of numbers.
STEP 1:
add all numbers
=30 + 20 + 0 + 0 + 0 + 0 + 120
=170 total
STEP 2:
divide total from step 1 by 7 (total quantity of numbers given, including zeros)
=170 ÷ 7
=24.2857
=24.3 rounded to nearest tenth
***You could also calculate the average by adding only non-zero results (20,30,120) and then dividing by 3 (the quantity of only non-zero numbers).
ANSWER: The average number of minutes studied per day is 24.3.
Hope this helps! :)
Answer:
it would take 69 days
Step-by-step explanation:
x = number of days
y = money $
y = 30x
replace y by the number of money that you make
2058.85 = 30x
divise by 30 to isolate x
x = ≅ 69
X + 2x +4 + 2x - 9 = 180
5x - 5 = 180
5x = 185
x = 37
answer
<span>c. x = 37</span>
