6h^2-h-12 apply the foil method : (a+b)(c+d)=ac+ad+bc+bd
Note: The missing diagram is attached below for a reference.
Answer:
Step-by-step explanation:
Given:
- ∠T and ∠V are right angles.
-
║ 
To Prove:
- Δ
≅ Δ
As
∠ 
≅ ∠ 
≅ 
(Given)
Side 
≅
║ 
and is a transverse
So,
∠ 
≅ ∠ 
![\left[alternate\:\:interior\:\:angles\right]](https://tex.z-dn.net/?f=%5Cleft%5Balternate%5C%3A%5C%3Ainterior%5C%3A%5C%3Aangles%5Cright%5D)
Thus,
- Δ ≅ Δ
Keywords: proof, paragraph, logic, reason
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Answer: x = 108
Step-by-step explanation: In this problem, we're given a diagram and
we're asked to find the value of x that would make m ll n.
We can see that the angles that are marked in the diagram
are same-side interior angles since they lie on the same side
of the transversal and they lie on the interior of lines m and n.
Therefore, in order for line m to be parallel to line n,
these angles must be supplementary.
In other words, they must add to 180 degrees.
So we can setup the equation x + 72 = 180.
Subtracting 72 from both sides gives us x = 108.
So the value of x that would make line m ll n is 108.
Simplify the following:
(k^3 k^7)/3 - 5
Combine powers. (k^3 k^7)/3 = k^(7 + 3)/3:
k^(7 + 3)/3 - 5
7 + 3 = 10:
k^10/3 - 5
Put each term in k^10/3 - 5 over the common denominator 3: k^10/3 - 5 = k^10/3 - 15/3:
k^10/3 - 15/3
k^10/3 - 15/3 = (k^10 - 15)/3:
Answer: (k^10 - 15)/3
case.
