Answer:


Step-by-step explanation:
Given




See comment for missing part of the question
Required
Complete the expression to determine the dimension of a rectangle
We have:

Open bracket

Equate to 0

Expand

Factorize

Factor out x + 2

Solve for x
or 
or 
The value of x cannot be negative
So:

Recall that:


So:

---- i.e. 5 - 3
The answer to the question <span>The coordinates of the endpoints of RT are R(-6,-5) and T(4,0), and point S is on RT. The coordinates of S are (-2,-3). Which of the following represents the ratio RS:ST? is B</span>
Step-by-step explanation:
everything can be found in the picture
Answer:
a. D and E are similar but not congruent.
Step-by-step explanation:
Let's analyse each statement and determine which is true about the 3 given quadrilaterals:
a. "D and E are similar but not congruent." TRUE.
D is similar to E because, every segment of D is proportional to the corresponding segments of E. The ratio of their corresponding segments are equal.
D and E are not congruent because their segments are not of equal length. Thus, they have the same shape but different sizes.
b. "E and F are similar and congruent." NOT TRUE.
E and F has the same size, hence they are congruent. However, they are not similar, because they don't have the same shape. Their corresponding lengths are not proportional.
c. "D and E are similar and congruent." NOT TRUE.
Since statement (a) is TRUE, statement (c) cannot be true.
D and E are similar because they have the same shape and the ratio of their corresponding sides are the same. D and E are not congruent, because they are not of the same size.
d. "F and D are similar but not congruent." NOT TRUE.
F and D has the same size but the ratio of their corresponding sides are not the same.