Answer:
67
Step-by-step explanation:
Since the diagonals in a rectangle are congruent, AC=BD and
7x+18=10x-3
We need to separate x -- to do that, we can first subtract 7x from both sides, resulting in
18=3x-3
Next, add 3 to both sides to get
21=3x
Divide both sides by 3 to get
x=7
Then, we just plug x into 10x-3 to get BD = 7*10-3 = 67
When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^1/2
Now, how to go about doing this:
In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.
For the denominator, that deals with the radical. The index, to be exact. The index describes what KIND of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3). Here are some more examples to help you understand a bit more:
x^6/5 = Fifth root of x^6
x^3/1 = x^3
^^^Exponential fractions still follow the same rules of simplifying, so...
x^2/4 = x^1/2 = sqrt(x)
Hope this helps!
Answer:
A) College Student
Step-by-step explanation:
8n- (2n-3) =12
8n-2n= 12+3
6n=15
n= 2.5
Hope this helps :)
Answer:
m∠VST = 105°
Step-by-step explanation:
Two central angles are marked as having the same measure. The measure of the corresponding arcs are the same. The sum of all arc measures is 360°.
(-37x +2) +2(-27x -3) = 360
-91x -4 = 360
-91x = 364
x = -4
m∠VST = (-27(-4) -3) = 105 . . . . degrees
