Answer:
CD = 27
Step-by-step explanation:
Given the triangles are similar then the ratios of corresponding sided are equal, that is
=
, substitute values
=
= 3 ( multiply both sides by 9 )
CD = 27
Answer:
8. c. (-1, -1)
9. a. (-6, -1)
b. True
Step-by-step Explanation:
8. Given the midpoint M(2, 4), and one endpoint D(5, 7) of segment CD, the coordinate pair of the other endpoint C, can be calculated as follows:
let 


Rewrite the equation to find the coordinates of C
and 
Solve for each:












Coordinates of endpoint C is (-1, 1)
9. a.Given segment AB, with midpoint M(-4, -5), and endpoint A(-2, -9), find endpoint B as follows:
let 


and 
Solve for each:












Coordinates of endpoint B is (-6, -1)
b. The midpoint of a segment, is the middle of the segment. It divides the segment into two equal parts. The answer is TRUE.
<u>Given</u>:
The given monomial expression is 
We need to simplify the given monomial expression.
<u>Simplification:</u>
Let us simplify the given expression.
Dividing the numbers 16 and 4, we get;

Let us apply the exponent rule
in the above expression.
Thus, we get;

Subtracting the numbers in the numerator of the above expression, we get;

Thus, the simplified expression is 
Option 1, 6, 3 are all correct