Answer:
6
Step-by-step explanation:
4 * x + 12= 36
-12 -12
4x = 24
x= 6
Answer:
Step-by-step explanation:
50a³b = 2⋅5²a³b
8ab = 2³ab
GCF = 2ab
50a³b - 8ab = 2ab(5²a² - 2²)
5²a² - 2² = (5a - 2)(5a + 2)
Answer:
1 / 5040
Step-by-step explanation:
The number of ways that 7 basketball players can be arranged is 7! = 5040. Only one of these arrangements is alphabetical. So the probability is 1/5040.
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.
