Answer:
17. 10
Step-by-step explanation:
1. A segment going from an endpoint to the midpoint of the original segment is going to be 1/2 of the original segment.
AM = 1/2 AB
2. You know that the length of AM is 5, so plug that in a solve algebraically
5 = 1/2 AB
(2)5 = (2) 1/2 AB
10 = AB
Answer:
18. 30
Step-by-step explanation:
The sum of two segments spanning from the original segment's midpoint to the end equals the length of the original segment. Because the midpoint is exactly in the middle of the original segment, the two other segments should equal each other.
1. You need to first find the length of the two segments by setting them equal to each other and plugging in their equations.
5x = x+12
2. Solve algebraically
5x = x+12
4x = 12
x = 3
3. Plug z into the equations for each segment and add them together.
RM = 5(3) MS = (3)+12
RM = 15 MS = 15
15+15 = 30
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.
Answer:
Picture #1: x=16 ; y=10
Picture #2: x=21 ; y=15
Picture #3: x=18
Step-by-step explanation:
Picture #1:
(8x-14)* and (5x+34)* are Alternate Exterior Angle so they are congruent. And (8x-14)* and (5y+16)* are supplementary so they equal 180*.
Picture #2:
(6x+7)* and (3x-16)* are supplementary so they equal 180*. And (6x+7)* and (11y-32)* are Vertical Angles so they are congruent.
Picture #3:
(7x-6)* and (4x-7)* are supplementary so they equal 180*.