The answer is a space contains at
least four points that do not lie in a same plane or not all in the same plane. An axiom is a statement or
proposition that is observed as being established, accepted, or self-evidently
true. In other words, it is any statement or mathematical statement that functions
as a starting point from which other statements are logically derived. So this
can be found on postulate 1 that states “a line containing at least two points;
a plane contains at least three points not all in one line; and a space
contains at least four points not all in the one plane.”
Answer:
Q.5 ab=cd
Q.6 ad=bc
Q.7 ce=ae
Q.8 eb=ed
Q.9 angle D=angle B (opposite angle of parallelogram are equal)
let other angle of parallelogram be x.
angle A+angle B +angle C + angle D= 360° (sum of quadrilateral is 360°)
x+130°+x+130°=360°
2x+260°=360°
2x=360°-260°
2x=100°
x=100/2
x=50°
Q.10 similarly, angle b= angle d
let other angle be x.
x+61°+ x+61°=360°
2x+122°=360°
2x=360°+122°
2x=238°
x=238°/2
x=119°
Q.11 in quadrilateral opposite angles are equal and opposite angle of parallelogram are equal.
Q.12 in quadrilateral opposite angle are equal and opposite angle of parallelogram are equal.
Q.13 in quadrilateral opposite sides are equal and opposite sides are parellel and this property is also present in parallelogram.
q.14 in quadrilateral diagonal bisected each other and diagonal of parallelogram also bisect each other.
Answer:
11 ft
Step-by-step explanation:
Given the two lengths of a triangle as
AB = 6ft
AC = 6ft
This is an isosceles triangle because only 2 sides are equal.
In an isosceles triangle, the sum of 2 (sides) lengths must be greater than the other length.
Therefore, let's assume the following:
i) AC + AB > BC
6 + 6 > BC
12 > BC (BC is less than 12)
BC < 12
ii) BC + AC > AB
BC + 6 > 6
BC > 6 - 6
BC > 0
Therefore the range of values for BC =
0 < BC < 12
Since BC must be bigger than one of the lengths and it must also be less than the sum of the 2 sides. The length of BC could be 11 because it is less than (6+6) 12 and greater than 6.
Answer:
The required proof is shown below.
Step-by-step explanation:
Consider the provided figure.
It is given that KM=LN
We need to prove KL=MN
Now consider the provided statement.
KM = LN Given
KM = KL+LM Segment addition postulate
LN = LM+MN Segment addition postulate
KL+LM = LM+MN Substitution property of equality
KL = MN Subtraction property of equality
The required proof is shown above.