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.
Answer:
27/8
Step-by-step explanation:
3 3/8
you multiply the denominator by the whole number and then add into numerator. so
8 x 3 = 24
24+ 3 =27
Answer= 27/8
Answer:
a) 4/15
b) 4/15
Step-by-step explanation:
maximum wait is 1 min,2 min,3 min,4 min,5 min,6 min,7 min,8 min,9 min,10 min,11 min,12 min,13 min,14 min,15 min =total 15 values
a) less than 4 min means he has to wait for 1 min, 2 min, 3 min, 4 min=total 4 values
Probability of wait for less than 4 minutes=4/15
b) more than 11 minutes wait means he has to wait for either 12 min, 13 min, 14 min, 15 min=4 values
Probability of wait for more than 11 minutes=4/15
First 2 are true and others are false
In order to write an equation you need to find the y-intercept. the way you do this is by plugging in the value 2 and the point into y=mx+b and solving for b. once you plug everything in you get 5=2(1)+b. solving from here you get b=3. putting everything together you get y=2x+3
