Answer:
Total Number of lines will be 28
Step-by-step explanation:
We can use combinations to solve this question.
Let the two Collinear points be denoted by A and B and the other other points be denoted by x1,x2,x3,x4, x5 and x6.
Suppose that only A and B are collinear.
The number of lines determined by any two of x1 to x6 are given by 6C2= 15
The number of lines from A or B and x1---x6 is given by 6C1 * 2C1= 12
The number of lines from A to B is 1.
Total Number of lines = 15+ 12+ 1= 28
Answer:
cubic meter of clay will be used to create all the pyramids
Step-by-step explanation:
The remaining part of the question is given in the attached file
Solution
The total clay used is equal to the sum of volumes of two triangular and three rectangular pyramids.
For Rectangular Pyramid,
Volume of three rectangular pyramids

Substituting the given values in above equation, we get -
cubic centimeter
For triangular Pyramid,
Volume of two triangular pyramids

cubic centimeter
Total clay used = Volume of 3 rectangular pyramid + volume of 2 triangular pyramid
Cubic centimeter
Answer:
Corresponding angles
Step-by-step explanation:
When two lines are crossed by transversal . the angles in matching corner are corresponding angles .
They occupy same relative position where the transversal cuts the two parallel lines .
<em><u>Addi</u></em><em><u>tional</u></em><em><u> information</u></em>
- The corresponding angles theorem states that if two parallel lines are cut by the transversal then the pair corresponding angles are equal .
<u>Note</u><u>:</u>
- A theorem is the proven statement which is true.