Answer:
Proved
Step-by-step explanation:
To prove that every point in the open interval (0,1) is an interior point of S
This we can prove by contradiction method.
Let, if possible c be a point in the interval which is not an interior point.
Then c has a neighbourhood which contains atleast one point not in (0,1)
Let d be the point which is in neighbourhood of c but not in S(0,1)
Then the points between c and d would be either in (0,1) or not in (0,1)
If out of all points say d1,d2..... we find that dn is a point which is in (0,1) and dn+1 is not in (0,1) however large n is.
Then we find that dn is a boundary point of S
But since S is an open interval there is no boundary point hence we get a contradiction. Our assumption was wrong.
Every point of S=(0, 1) is an interior point of S.
She must fill it 4 times as 4/8 is equal to 1/2
Answer:
<A = 56degrees
<B = 34degrees
<C = 56degrees
Step-by-step explanation:
From tyhe diagram, the sum of m<C and m<D is 180degrees. Hence;
<C + <D = 180
<C + 124 = 180
<C = 180 - 124
<C = 56degrees
Also;
<B + 90 + <C = 180
<B + 90 + 56 = 180
<B + 146 = 180
<B = 180 - 146
<B = 34degrees
Similarly;
<A + <B = 90
<A + 34 = 90
<A = 90 - 34
<A = 56degrees
Answer:
d. 4.5
Step-by-step explanation:
10x-5=16x+22
-22 -22
10x-27=16x
-10x -10x
-27=6x
x=4.5
Answer:
The answer is y=-x+9.
The first thing to do is find where the line intercepts the y-axis, which is at positive 9 so you'll add a +9 to the end of your equation. Next you find the slope and since it's going down left to right, you know it is a negative. Now slope is found by change in y divided by change in x. And since both change and y and change in x are both 1, 1/1 is 1. And since you know it's negative that means the slope is -x. Altogether you get y= -x+9
