Answer:
Corresponding Angles Theorem
x = -5
Step-by-step explanation:
Since they are corresponding angles, they are equal to each other.
x + 105 = 100
x = -5
Given: <span>y = x^2 + 6x - 5. Then a = 1, b = 6 and c = -5.
The x-coord. of the vertex is given by x = -b / (2a), which here is x = -6 / (2*1) = -3.
Use the given formula </span><span>y = x^2 + 6x - 5 to find the value of y when x = -3:
y = (-3)^2 + 6(-3) - 5 = 9 - 18 - 5 = -14
Then the vertex is (-3, -14).</span>

If Ava has 34 candy bars, and each box can hold 5 bars, then we need to find out how many boxes that are filled up.

Divide the number of candy bars (34), by the number each box can hold (5)

Since we cannot have 6.8 boxes, we have to round down to 6.


To check our answer, we multiply the number of boxes (6), by the number of bars in each box (5), to get 30. We add Ava's extra bars (4), and we get the number we started off with: 34. This proves our answer is correct!
Answer:
<h2>
$3448.81</h2>
Step-by-step explanation:
Using the compound interest formula to calculate the amount compounded after 10years.

P = principal = $2000
r = rate (in %) = 5.6%
t = time (in years) = 10years
n = 1year = time used in compounding

Amount compounded after 10 years is $3448.81