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:
-11, f(-5) 1
Step-by-step explanation:
Answer: 21
Step-by-step explanation:
Answer:
$129
Step-by-step explanation:
We can use this equation:
x - 0.45x = 70.95
0.55x = 70.95
x = $129
Answer:
Step-by-step explanation:
2x2+5x−10=x2+4
Step 1: Subtract x^2+4 from both sides.
2x2+5x−10−(x2+4)=x2+4−(x2+4)
x2+5x−14=0
For this equation: a=1, b=5, c=-14
1x2+5x+−14=0
Step 2: Use quadratic formula with a=1, b=5, c=-14.
x=
−b±√b2−4ac
2a
x=
−(5)±√(5)2−4(1)(−14)
2(1)
x=
−5±√81
2
x=2 or x=−7
Answer:
x=2 or x=−7
