Answer: The correct option is
(E) 70.
Step-by-step explanation: We are given to find the number of triangles and quadrilaterals altogether that can be formed using the vertices of a 7-sided regular polygon.
To form a triangle, we need any 3 vertices of the 7-sided regular polygon. So, the number of triangles that can be formed is

Also, to form a quadrilateral, we need any 4 vertices of the 7-sided regular polygon. So, the number of quadrilateral that can be formed is

Therefore, the total number of triangles and quadrilaterals is

Thus, option (E) is CORRECT.
Answer:
x = 3
Step-by-step explanation:
we know that if we have an original line and we are finding the perpendicular we know that the slope of the second line is gonna be the negative reciprocal of the first line and given that we know it must be perpendicular to the original line it will be heading downwards on the y axis with no slope so instead of y equals it will be x equals and we know that our x value of the point given is three so the answer is x = 3
Answer:
c. 6
Step-by-step explanation:
Given
See attachment for graph
Required
Average rate of change
This is calculated as:

Where

So, we have:


Using the attached graph, we have:


So, we have:



Answer:
20+7x
Step-by-step explanation:
you'd multiply 2 by 5 and 2 by 3x which will give you 10+ 6x; Then add the others : 2(5+3x)+(x+10) would be 10+6x+x+10 so its 20+7x. .
11x - 3 = 5x + 11
11x - 5x = 11+3
6x = 14
x = 14/6 =7/3