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:
Step-by-step explanation:
55*4^(33/11) = 55*4^3 = 55*64 = 3520
We have y - 2 = m(x + 5), where m = (-1 - 2)/(10 + 5) = -3/15 = -1/5;
Then y - 2 = (-1/5)(x + 5);
5y - 10 = (-1)(x + 5);
5y - 10 = -x - 5;
x + 5y - 5 = 0 is the equation of the line.
Answer:
The two numbers are 18 and 42
Step-by-step explanation:
let the two numbers = x and y
Their sum: x + y = 60 ------ (1)
Also, dividing the larger by the smaller (partition = 2 and remainder = 6).
Let the larger number = y
Substitute the value of y into equation (1)
x + (2x + 6) = 60
x + 2x + 6 = 60
3x + 6 = 60
3x = 60 - 6
3x = 54
x = 54 / 3
x = 18
y = 2x + 6
y = 2(18) + 6
y = 36 + 6
y = 42
The two numbers are 18 and 42
Step-by-step explanation:
7+y
since y is unknown the value is not known
