1. Unique line postulate
Statement: Through any two points, there is exactly one line.
2. Line intersection postulate
Statement: If two lines intersect, then their intersection is exactly one point.
3. Segment addition postulate
Statement: If A, B and C are collinear and B is between A and C, then AB + BC = AC
4. Angle Addition postulate
Statement: If R is in interior of
, then
.
5. Linear pair theorem
Statement: If two angles form a linear pair, then the angles are supplementary.
6. Congruent Complements theorem
Statement: If two angles are complementary to the same angle, then the angles are congruent.
Answer:
12 blue necklaces + 12 red necklaces = 24 necklaces. He will have 1 blue bead left over and 1 red bead left over.
Step-by-step explanation:
37/3 = 12.333 or 12 r1
25/2= 12.5 or 12 r1
1+1=2
The only things you can factor out of here is a 3 so you are left with:
3(y-6)
Hope that helps.
Answer:
You could use the polygon area formula OR here's an easier solution
We draw the lines DC and DE
Angle ADC = 120°
Triangle ADC is a 30 60 90 triangle
In such a triangle Line AE = hypotenuse * sq root (3) /2
Line AE = 3 * 0.8660254038 = 2.5980762114
Line DE = 1.5
Area of Triangle ADE = .5 * 1.5 * 2.5980762114 =
1.9485571586 square meters and entire area of Triangle
ABC = 6 * 1.9485571586
which equals 11.6913429513 square meters
Step-by-step explanation: