Given:
m∠DAE = 30°
m∠CBE = 20°
To find:
The value of x.
Solution:
In rectangle, all angles are right angle.
m∠A = m∠B = m∠C = m∠D = 90°
m∠EDA + m∠EAB = 90°
30° + m∠EAB = 90°
m∠EAB = 90° - 30°
m∠EAB = 60°
Similarly, m∠CBE + m∠EBA = 90°
20° + m∠EBA = 90°
m∠EBA = 90° - 20°
m∠EBA = 70°
In triangle AEB,
Sum of all angles in a triangle = 180°
m∠EAB + m∠AEB +m∠EBA = 180°
60° + x° + 70° = 180°
130° + x° = 180°
Subtract 130° from both sides, we get
x° = 50°
x = 50
The value of x is 50.
To determine the number of years when the company will breakeven, we use the equation given. At the breakeven point, the company has no profit and loses. So, we P(x) = 0. We calculate as follows:
<span>P(x) = x3 – 4x2 + 3x – 12
0 = </span>x^3 – 4x^2 + 3x – 12
x = 4 , 1.732i, -1.732i
Solving for x, we will have three value one real and 2 imaginary values. Since time cannot be negative and imaginary. The answer would be 4. After 4 years, the company will break even.
Answer:
(-16,17)
Step-by-step explanation:
The answer for the and point D is negative 16, 17. how you will solve this is you would take them in point and the endpoint c. to find that x of D you will do negative 4 minus 8 this equals negative 12. what you will do next is you will take the negative 12 and added to -4. this is how you get negative 16. you will then find the y of D. to do this you will take negative 7 and subtract 5. this equals negative 12. you will then take the midpoint and do 5 + 12. this equals 17. Hope this helps!
If <em>f(x)</em> = 1/<em>x</em> - 2, then the average rate of change between <em>x</em> = 4 and <em>x</em> = 8 is
(<em>f</em> (8) - <em>f</em> (4)) / (8 - 4) = ((1/8 - 2) - (1/4 - 2)) / 4 = -1/16
If you meant <em>f(x)</em> = 1/(<em>x</em> - 2), then it would be
(<em>f</em> (8) - <em>f</em> (4)) / (8 - 4) = (1/(8 - 2) - 1/(4 - 2)) / 4 = (1/6 - 1/2) / 4 = -1/12
<em>Make sure to check which one is the correct function!</em>
Answer:
K = 51
Step-by-step explanation:
Since the triangles are similar, the angles are the same measure.
<K = <F
We can find angle F since the angles of a triangle add to 180
D + G + F = 180
59+70 +F = 180
Combine like terms
129+F = 180
Subtract 129 from each side
129-129+F = 180-129
F = 51
K = F = 51
