Answer:
ΔABC ~ ΔDEC
Step-by-step explanation:
Given : DE║AB
Statements Reasons
1). DE║AB 1). Given
2). ∠CDE ≅ ∠CAB 2). Corresponding angles
[Since DE║AB and AC is the transverse]
3). ∠CED ≅ ∠CBA 3). Corresponding angles
[Since DE║AB and BC is the transverse]
4). ΔABC ~ ΔDEC 4). By AA property of similarity
Hence ΔABC is similar to ΔDEC.
Answer:
2/5, 8/20, 4/10,16/40
Step-by-step explanation:
40%
Percent means out of 100
40/100 = 4/10 = 2/5
Lets look at the choices
8/100 =4/50 =2/25 not equal
2/5 equal
8/20 = 4/10 =2/5 = equal
4/10 = 2/5 = equal
16/40 = 4/10 = 2/5 equal
B. 1/2(6x-12) = 3x -6 = 3(x-2)
D. 12x -18 + 2 = -16+12x
12x -16 = -16+ 12x
B and D are the answers
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Answer:
8.12
Step-by-step explanation:
We obtain the distance between x and y
d = sqrt[(x2 - x1)² + (y2 - y1)²]
d = sqrt[(1 - 2)² + (2 - 6)²]
d = sqrt[1 + 16)
d = sqrt(17)
d² = 17
From Pythagoras rule;
Hypotenus = sqrt(Adjacent² + opposite²)
Hence,
Hypotenus = sqrt(17 + 7²)
Hypotenus = sqrt(17+ 49)
Hypotenus = sqrt(66)
Hypotenus = 8.124
Hypotenus = 8.12
