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
Answer:
Step-by-step explanation:
We start with the equation 
. First, we multiply both sides by 
.
Next, we divide both sides by 
to get our answer:
Answer:
3x=6
Step-by-step explanation:
10 + 5x =8+12
10 +5x = 20
Subtract 10 from each side
10-10+5x=20-10
5x= 10
Divide by 5
5x/5 = 10/5
x = 2
We want 3x
3(2) = 6
3x=6
