Answer:
∠ACB 107°
Step-by-step explanation:
1.) First, by using straight angle theorem we can determine that ∠CED is equal to 180 - 147 which is 33°.
2.) Next, using alternate interior angles theorem we know that ∠CDE = ∠ABC which is 40°
3.) Then, because of the angle sum theorem we know that all the angles of the triangle must add to 180° and we can therefore solve for ∠DCE using the equation 33 + 40 + x = 180 where x is ∠DCE. By solving this we get 107°.
4.) Finally, using vertical angles theorem we know that ∠DCE = ∠ACB and so ∠ACB is 107°
Answer:
$29,900
Growth
22%
Step-by-step explanation:
Initial value is when t = 0
v(0) = 29900(1.22)^0
v(0) = 29900(1)
v(0) = 29900
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Growth
because 1.22 is greater than 1
----------------------------
Yearly value change
1.22 - 1 = 0.22
0.22 * 100 = 22
22%
The answer to this question would be true.
In this case, you are given a sentence containing a condition to fulfill. To answer this question, you need to understand the sentence and turn it into an equation then compare it with the condition. The equation for this question would be: 170 * 1/10= 17.
The answer is true because the result of 170 * 1/10 is 17
Answer:
θ = 5π/6 rad and 11π/6 rad
Step-by-step explanation:
Given the expression cotθ+√3=0
Subtract √3 from both sides
cotθ+√3-√3=0-√3
cotθ = -√3
Since cotθ = 1/tanθ
1/tanθ = -√3
Reciprocate both sides:
tanθ = -1/√3
θ = tan^-1(-1/√3)
θ = -30°
Since the angle is negative, and tanθ is negative in the second and fourth quadrant.
In the second quadrant;
θ = 180-30
θ = 150°
Since 180° = πrad
150° = 150π/180
150° = 5π/6 rad
In the fourth quadrant;
θ = 360-30
θ = 330°
Since 180° = πrad
330° = 330π/180
330° = 11π/6 rad
Hence the solutions are 5π/6 rad and 11π/6 rad.
Answer:
4
Step-by-step explanation:
I assume that is supposed to be x squared. A perfect trinomial is the product of a perfect square, (x times a number) squared. With these trinomials, you can look at them as: ax squared times bx + c. When a is 1, the fastest way to get c to make a perfect square is to divide b by 2. In this case, it's 4/2 = 2. The last step is to square that number. 2 squared = 4.
