Answer:
5.5, 4.333 or 13/3
Step-by-step explanation:
Use substitution method.
Given:
Segment AD is perpendicular to segment BC.
D is the midpoint of segment BC.
To prove:
Solution:
The two column proof is shown below:
Statements Reasons
1. , D is the midpoint of 1. Given
2. 2. Definition of midpoint
3. 3. Definition of perpendicular lines
4. 4. Substitution
5. 5. Definition of congruence
6. 6. Reflexive property
7. 7. SAS congruence postulate
Hence proved.
I BELIEVE D. (12, 20) is not an answer choice.
Answer:
Step-by-step explanation:
SIDE OF THE SQUARE = 6 cm = DIAMETER OF THE CIRCLE.
AREA OF THE CIRCLE = (Pi/4)*6^2 = [(22/7)/4]*36 = 22*9/7 = 28.2857 sqcm
or
First, find the side length of the square. (Find the square root of 36 cm^2, to get 6 cm as the side length of the square).
Second, find the radius of the circle inside the square. The side length of the square is the diameter of the circle. Radius is half of the diameter. So, half of 6 cm is 3 cm; this is the radius of the circle.
Third, find the area of the circle by using the formula, A = pi x radius x radius
so, Area = 3.14 x 3 cm x 3 cm
by calculation we get the area of the circle is 28.26 cm^2
Where pi is a constant of 22/7 or 3.14
Answer:
Step-by-step explanation:
Because we have to rewrite this equation in the format , we have to divide, or factor to find basic terms,
Expanding the value of k(x), we have . We see that each term can be divisible by 4, so we can factor out 4 to get
Now, we have two different terms getting multiplied. We can separate the two to get
Because we are multiplying 4 by the other term, this is represented by
Now, we can just set f(x) and g(x) to these functions:
Now, just to make sure, we can plug a value into k(x) and the same value into f(g(x)). Plugging in 1, we have (2(1)+4)2 as 2(2+4), which is 2(6) = 12.
Plugging 1 into f(g(x)), we can evaluate g(1) first, to get 1 + 2 = 3. Now, f(3) = 4(3)= 12, which is the same for k(x).