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Answer:
g = -3
Step-by-step explanation:
10g-4(g-2)+11=1
1) 10g-4g+8+11=1 Combine like terms
2) 6g+8+11=1
3) 6g+19=1
4) 6g=-18 To continue the process of getting the variable by itself, we have to get rid of 19. So we are going to subtract 19 from 19 to get 0, and whatever we do to the other side, so we subtract 19 from 1 to get -18.
5)6g=-18 To get the variable by itself, instead of mutiplying, we will divide by 6 on both sides to get... g=-3! Hope this helps!
3 = AIA ( Alternate Interior Angles)
4 = Definition of AIA
To simplify this improper fraction we can turn it into a mixed number. The fact that the denominator is 2 and the numerator isn't divisible by 2 shows that it can't simplified any further as a improper fraction.
23/2 = 11 1/2
Best of Luck!
The ways we can prove the triangles congruent:
SAS (side, angle, side)
ASA (angle, side, angle)
AAS (angle, angle, side)
SSS (all sides equal)
RHS/HL (Right Angle-Hypotenuse-Side/Hypotenuse-legs)
In these cases:
A. <B = <E
<A = <D
AC=DF
AAS (angle, angle, side) could be used.
B. AB=ED
BC=EF
AC=DF
SSS (all sides equal) could be used.
C.<BEA=<CED (right opposite angles)
As there is only one pair of equal angles we can find,there is not enough information.
D.<B = <E
BC=CE
<ECD < ACE(right opposite angles)
ASA (angle, side, angle) could be used.
Hope it helps!
