Answer:
Angle B is 45°
Step-by-step explanation:
Since a and b are both of length 20, this is an isosceles right triangle, and the angle opposite side b must be 45°.
<span>Based on the attached image, the interior angle A of the polygon in the figure equal 110 degrees. If you can see the image the angle A is equal to the angle on the other side. The angle A is an example of obtuse angle because has the size of more 90 degrees and less than 180 degrees. All the angles in the image are obtuse except the one angle in the top that measures 50 degrees.</span>
-2(1+2x)=7-x
-2(1)=-2 -2(2x)=-4x rewrite
-2-4x=7-x combine like terms add two to both sides 7+2=9; add x to both sides -4x+x=-3x rewrite -3x=9 divide -3 from both sides 9/-3=-3 rewrite
X=-3
Hope this helps have a nice day!
Step-by-step explanation:
We will prove by mathematical induction that, for every natural
,
We will prove our base case, when n=4, to be true.
Base case:

Inductive hypothesis:
Given a natural
,
Now, we will assume the induction hypothesis and then use this assumption, involving n, to prove the statement for n + 1.
Inductive step:

With this we have proved our statement to be true for n+1.
In conlusion, for every natural
.