Answer: 1145 feets
Step-by-step explanation:
The total feet of streamer that Shirley have to decorate with will be the addition of the total roll of blue streamer plus the total roll of green streamer. This will be:
= 5(93) + 8(85)
= 465 feet + 680 feet
= 1145 feets of streamer.
is 93 feet long and each roll of
<span>x^3 - 4x^2 - 7x + 10 = 0</span>
Answer:
$19,747.96
Step-by-step explanation:
You are going to want to use the continuous compound interest formula, which is shown below:
<em>A = total</em>
<em>P = principal amount</em>
<em>r = interest rate (decimal)</em>
<em>t = time (years)</em>
<em />
First, lets change 5.5% into a decimal:
5.5% -> 
-> 0.055
Next, plug in the values into the equation:
After 5 years, you will have $19,747.96
Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Given that the two parallel lines are crossed by a transversal line.
Given that
m∠2 = 2x + 54 and m∠6 = 6x - 11
Angle ∠2 and ∠6 are corresponding angles.
Corresponding angles are congruent.
Thus,
m∠2 = m∠6
2x + 54 = 6x - 11
flipe the equation
6x - 11 = 2x + 54
subtract 2x from both sides
6x - 2x - 11 = 2x - 2x + 54
4x - 11 = 54
adding 11 to both sides
4x - 11 + 11 = 54 + 11
4x = 65
dvide both sides by 4
4x/4 = 65/4
x = 16.2500 (round to 4 decimal places)
Part b)
We have already determined
x = 16.2500
Given
m∠2 = 2x + 54
substitute x = 16.2500 in the euation
= 2(16.2500) + 54
= 86.5°
As angle ∠2 and angle ∠1 lie on a straight line. Hence, the sum of their angles must be 180°.
i.e.
m∠1 + m∠2 = 180°
substituting m∠2 = 86.5° in the equation
m∠1 + 86.5° = 180°
subtracting 86.5° from both sides
m∠1 + 86.5° - 86.5° = 180° - 86.5°
m∠1 = 93.5°
Therefore, the measure of angle m∠1 is:
X 2 4 6 8 y 1 2 3 4 is a proportional relationship since it is going by multiples of 2
