Answer:
-⅗ = x
Step-by-step explanation:
Here is what you get when you distribute the -2 on the left side of the equivalence symbol and combine like-terms on the right side of the equivalence symbol:
-2x - 4 = 3x - 1
Here is the solution:
-2x - 4 = 3x - 1
-3x -3x
----------------
-5x - 4 = -1
4 +4
----------------
-5x = 3
----- -----
-5 -5
x = -⅗
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Answer:
Amanda's box volume is 70 cm^3 greater than Mary's
Step-by-step explanation:
Find and then compare the volumes of the two boxes:
Amanda's: 10*10*13.5 cm^3 = 1350 cm^3
Mary's: 8*8*20 = 1280 cm^3
Amanda's box volume is 70 cm^3 greater than Mary's.
Answer:
Step-by-step explanation:
Given:
∠DCE ≅ ∠DEC
∠B ≅ ∠F
DF ≅ BD
To prove:
ΔABC ≅ ΔGFE
Solution:
Statements Reasons
1). ∠DCE ≅ ∠DEC 1). Given
2). ∠ACB ≅ ∠GEF 2). Vertically opposite angles to the
congruent angles.
3). ∠B ≅ ∠F 3). Given
4). DB ≅ DF 4). Given
5). DC + CB ≅ DE + EF 5). Segment addition postulate
6). DC ≅ DE 6). Property of isosceles triangle
7). CB ≅ EF 7). Transitive property
8). ΔABC ≅ ΔGFE 8). ASA property of congruence