Step-by-step answer:
This is a regular heptagon, means it has 7 <em>congruent</em> sides and 7 <em>congruent </em>vertex angles.
To work with polygons, there is a very important piece of information that you must know to solve the majority of related problems.
This is:
sum of exterior angles of polygons = 360 degrees.
If you don't remember the 360 degrees, think of the sum of exterior angles of an equilateral triangle, which is 3*(180-60)=3*120=360! It works!
For a regular heptagon, c = 360/7=51.43 degrees approx.
This means that each vertex angle measures
vertex angle = 180-c
So since 2d+the vertex angle = 360, we have
2d+(180-c)=360
solve for d:
2d=360-(180-c)=180+c
d=(180+c)/2=90+c/2=115.71 degrees. (approx.)
Answer:
Option B. The value of x is 20
Step-by-step explanation:
we know that
<u>The intersecting chords theorem</u> states that the products of the lengths of the line segments on each chord are equal.
so
In this problem
![(x)(x-11)=(x-8)(x-5)\\x^{2}-11x=x^{2}-5x-8x+40\\-11x=-13x+40\\2x=40\\x=20](https://tex.z-dn.net/?f=%28x%29%28x-11%29%3D%28x-8%29%28x-5%29%5C%5Cx%5E%7B2%7D-11x%3Dx%5E%7B2%7D-5x-8x%2B40%5C%5C-11x%3D-13x%2B40%5C%5C2x%3D40%5C%5Cx%3D20)
Answer: 8x + 5 2 = 8x + 6
Step-by-step explanation:
A: An isosceles triangle is defined as having 2 sides measurements that are equal, and they have equal base angles as a result. If KM and KP are equal then they fit the definition of an isosceles triangle. If KMP is an isosceles triangle and they both have the same base angles. If the base angles are bisected they have the same base angle measurement making WMP also an isosceles triangle
B: Yes, because the angle bisectors of MX and MP would also bisect the sides making them both medians.
C to prove that they were Altitudes we would need to know that the base angles of KMP are 60 degrees. if they are 60 degrees they would create two 30-60-90 triangles with the 90 degrees going from the center of the side directly up, perpendicularly to the altitude. (this would also make the triangle an equilateral triangle)
Answer:
Statistic.
Step-by-step explanation:
A statistic is the result of a finished data set.
From things such as...
<em>and a few more.</em>
Hope this helps!