The value of x from the given diagram is 17
<h2>Vertically opposite angles</h2>
From the given diagram, m<2 and m<3 are vertically opposite since they form angles from the intersection of lines at the point X
Given that;
- m<2 = 4x + 2
- m<3 = 5x - 15
Equate both expressions to have:
m<2 = m<3
4x + 2 = 5x - 15
4x - 5x = -15 - 2
-x = -17
x = 17
Hence the value of x from the given diagram is 17.
Learn more on vertical angles here; brainly.com/question/1673457
Answer: b or d
Step-by-step explanation:
The overall angles in a quadrilateral add up to 360° so it's
360-104=256°
256-148=100°
100-36=64°
the 4th angle is 64°
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>