Answer:
Step-by-step explanation:
c
Answer:
x > 9
Step-by-step explanation:
2x - 7 > 11
2x > 18
x > 9
Blank 1: 1
Blank 2: 3
Blank 3: -2
Answer:
x = 3
Step-by-step explanation:
x + 3 = 4x - 6
add 6 to both sides
x + 9 = 4x
subtract x from both sides
9 = 3x
divide 3 from both sides
x = 3
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.
