Answer:
x = 28
m∠ACD = 68°
Step-by-step explanation:
∠BAE ≅∠DAC because they are vertical angles
∠ACD = 180 - 124 = 56°
to find 'x': 56 + 2x + (180 - 4x) = 180
236 - 2x = 180
-2x = -56
x = 28
m∠ACD = 180 - 4(28) = 180 - 112 = 68°
Answer:
A. 5x² - 7 - 72 = 0
5x² - 79 = 0
x = ± √-4ac / 2a
x = ± √- 4 (5) (-79) / 2 (5)
x = ± √ 1580 / 10
x = ± 39.749/10
x = + 39.749/10 x = -39.749/10
= 3.9749 = - 3.9749
B. x² + 2x - 5 = 0
x = - b ± √b² - 4ac / 2a
= - 2 ± √2² - 4 (1) (-5) / 2 (1)
= - 2 ± √4 + 20 / 2
= - 2 ± √ 24 / 2
x = - 2 + 4.898 /2 x = - 2 - 4.898 / 2
= 2.898/2 = -6.898/2
= 1.449 = - 3.449
C. 3x² + 2x - 4 = 0
x = - b ± √b² - 4ac / 2a
= - 2 ± √2² - 4 (3) (-4) / 2 (3)
= - 2 ± √4 + 48 / 6
= - 2 ± √ 52 / 6
x = - 2 + 7.211 /6 x = - 2 - 7.211 / 6
= 5.211/6 = - 9.211 /6
= 0.869 = - 1.535
Hope that helps
Please to re-check answers
A = total deposits = 150.00+22.50 = 172.50
B = total withdraws = 45.38+162.65+13.00+51.99 = 273.02
C = net change = A - B = 172.50-273.02 = -100.52
The net change is negative, so Wendy lost 100.52 dollars for the week.
Let C₀ be current consumption. Then consumption (C) after t years is:
<span>C(t) = C₀ * (1 + 0.1)^t </span>
<span>C(t) = C₀ * (1.1)^t </span>
<span>After 10 years, consumption will be: </span>
<span>C(10) = C₀*(1.1)^10 </span>
<span>C(10) = 2.5937424601 C₀ </span>
<span>Total percentage increase after 10 years: </span>
<span>(2.5937424601 C₀ - C₀) / C₀ = 1.5937424601 C₀ / C₀ = 1.5937424601 = 159.37% </span>
<span>Utility company will have to increase generating capacity by 159.37%</span>
