Answer:
∠ABD; Alternate Interior angles are congruent
Step-by-step explanation:
Sides AB and DC are congruent and parallel.
The transversal is line BD.
So considering this things, ∠BDC and ∠ABD are congruent through alternate interior angle rule
Answer:
x=24
Step-by-step explanation:
Hi there!
We are given the following proportion:

And we want to solve for x.
First, let's reduce
, as reducing fractions typically makes the process easier
is the same as 
So:

We can't do anything to
, but that's okay.
Now we can cross multiply, as this is a proportion
Multiply x-9 by 1 and 3 by 5
1(x-9)=3(5)
Multiply
x-9=15
Now this is an equation
Our goal is to isolate x on one side
So let's add 9 to both sides to remove it from the left side
x-9=15
+9 +9
_________
x=24
Hope this helps!
9514 1404 393
Answer:
x^(1/6)
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
__
Here, we have a=X, b=1/2, c=1/3, so the quotient is ...
(X^(1/2))/(X^(1/3)) = X^(1/2 -1/3) = X^(1/6)
_____
Expressed as a radical, this is ...
![\displaystyle X^{\frac{1}{6}}=\sqrt[6]{X}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20X%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%3D%5Csqrt%5B6%5D%7BX%7D)
Answer:
Its the last one a^2/b.
Step-by-step explanation:
(a^6 b^-3)^1/3
= a ^(6 * 1/3) b^(-3*1/3)
= a^2b^-1
= a^2/b.