Observe the figure below.
Statement Reason
1. AC and BD bisect each other Given
2. AE = EC and BE = ED Definition of bisection
3.
Vertical angle theorem
Vertical angle theorem states " When two lines intersect each other, the vertically opposite angles are always equal".
4.
SAS criterion for congruence
5.
Corresponding angles of congruent triangles are congruent
6.
Converse of alternate interior angle theorem
7.
Vertical angle theorem
8.
SAS criterion for congruence
9.
Converse of alternate interior angle theorem
As,
, so
as corresponding parts of corresponding triangles are equal. As these angles are alternate interior angles, so the lines BC and AD are parallel by "Converse of alternate interior angle theorem".
Answer:
bill is 6 george is 36 and mia is 12
Step-by-step explanation:
6 times 6 is 36 and 1/3 of that is 12. hope I did that right.
According to the question, the equation
is the algebraic equation as well as polynomial equation. Using square root principles, the equation can be re-write.
The factors of the denominator term is not possible and it cannot be simplified. And the simplification is possible with the concept of complex number.
What is polynomial expression?
Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.
To learn more about the polynomial expression from the given link:
<u>brainly.com/question/1280754</u>
#SPJ4
Given:
The statement is "-3 raised to the power 0".
To find:
The value of the given expression.
Solution:
We know that
raised to the power
can be written as
.
Any non zero number raised to the power 0 is always 1. It means,
, where
.
-3 raised to the power 0 

Therefore, the value of the given statement is 1.
Answer:
We have a formula for division algorithm a= bq+r (1)
a is the greatest integer between the two given integers
And b is the other integer
q is the quotient
r is the remainder
here we have a=192 and b=7 substituting values in equation (1) we get
192 = 27 *7 + 3 (2)
now substitute quotient from equation (2) in place of a that is a=27 and remainder in place of b that is b =3 in equation as below
27= 9*3 +0
we will proceed till we get remainder zero.