Answer:
x = 27.
Step-by-step explanation:
log9 x = 3/2
By the definition of a log:
9^3/2 = x
x = (√(9)^3)
x = 3^3
x = 27.
Answer:
Quadratic Equations! Yes!
Step-by-step explanation:
Now, there are three methods to solving this:
1.Quadratic Formula
2.Factoring
3. Completing the square
Now, Based on the answers, I think it would be better if we used Quadratic Formula, as you cannot get the answer easily with factoring, and I'm a bit rusty on completing the square.
So, Quadratic Formula! To solve it using this method, we have to find x using this: 
(the +- before the square root means it could be both positive or negative)
Where a, b are coefficients and c is a term(in a quadratic equation form: 
)
So, we just have to input the stuff from our equation into the formula!
Now, we can simplify the square root of 32 into 4 times the square root of 2
And, we can divide 2 from it all!
So, there you have it! The Answer is C, or 3.
Hope this helps!
Answer:
8.75 mi
Step-by-step explanation:
well it was quite simple. break the problem into more smaller problems then add when solved
You don't need to understand the construction or why it works. You only need to accept the fact that it does. You can figure out the answers to this question by looking at the picture.
RT is tangent to circle Q -- TRUE. That is the point of the construction.
QT is a radius of circle Q -- TRUE. Q is the center and T is on the circle. A line segment from the center to a point on the circle is a radius.
m∠QSR = 90° -- FALSE. Those points lie on the same line. The measure of the angle is 180°.
QS = QT -- FALSE. S lies inside circle Q, so is closer to the center than T, which lies on the circle. (For some choice of point R, S might lie on the circle, but because this statement is not always true, it must be considered false.)
ΔRTQ is a right triangle -- TRUE. A tangent line is always perpendicular to the radius to the point of tangency. The construction succeeds because RTQ is inscribed in semicircle RTQ (centered at S). Such a triangle is always a right triangle.
I basically solved for x first.
42+43x+1=180
X=3.2 rounded
Next plug in the value of x into the EDC equation
43(3.2)+1=138.6
Then add it to the measure of EDN
138.6+42= 180.6
So the answer is measure of NDC= 138.6
