Answer: C x=-4 and -10
Step-by-step explanation:
Answer:
Step-by-step explanation:
2) definition of angle bisector
4) division property of equality
5) division property of equality
6) substitution property
7) SAS similarity
Answer:
The perimeter of the base of the birdhouse is 36 units
Step-by-step explanation:
<u><em>The complete question is</em></u>
Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?
step 1
Find the measure of the interior angle
Let
x ---> the measure of the interior angle
y ---> the measure of the exterior angle
Remember that
the sum of the interior and exterior angle in any polygon is equal to 180 degrees
so
----> equation A
we have that
the measure of the interior angle is twice the measure of the exterior angle
so
----> equation B
substitute equation B in equation A


so

That means-----> The figure is a regular hexagon
step 2
Remember that
The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon
Let
b ----> the length side of the hexagon
so

The perimeter of the hexagon is given by the formula

substitute

Answer: -77
Step-by-step explanation:
(-7(3)^1/2)(11(10)^1/2)=
-7*11*(3)^1/2 * (10)^1/2=
-77*(3*10)^1/2=
-77(30)^1/2=-77
Answer:
Theorems
Step-by-step explanation:
Theorems is the right answer.
A circle is a geometric figure where all points on the circle keep equal distances from a point called the centre.
A circle has so many important properties.
The important of these are called theorems related to circles.
Some of the theorems are
i)Central angle theorem
ii) Opposite angles are supplementary for a cyclic quadrilateral, etc
Hence theorems would be the appropriate word for filling up the answer