1.
2x-2=2x+32x-2=2x+3
notice
2x-3=2x+2
minus 2x both sides
-3=2
false
no solution
2. 5m-4=7m+85m-4
add 4 to both sides
5m=92m
therefor m=0
but wait
5m-4=7m+8
5(0)-4=7(0)+8
-4=8
false
no solution
3.
y+7=y-3
minus y both sides
7=-3
false
no solution
none of them have solutions
Answer:
Step-by-step explanation:
The formula we need here is

which simplifies to

which simplifies to
36 + 6x = 40 + 5x and
x = 4
So DG = 5 + 4 + 3 which is 12
Answer: Choice B) Angle L = Angle O
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If we know that Angle L is congruent to Angle O, then we can use the AAS (angle angle side) congruence property. We have one pair of angles marked by the square marker (angle J and angle M). So they are congruent angles. We have a pair of congruent sides JK = MN = 3. So we're just missing a pair of angles.
Note: The answer is NOT angle K = angle N because this would mean ASA would be used instead of AAS. The order of the letters is important as it establishes how the sides and angles relate. With ASA, the side is between the angles. With AAS, the side is not between the angles.
A(rectangle)=5*12=60
A(circle)=(pi)(r^2)
r=(1/2)(5)=2.5
A(circle)=(3.14)(2.5)^2
A(circle)=19.625
Shaded Circle=1/2
(1/2)(19.625)=9.8125
A of unshaded=60-9.8125
A=50.1875 ft
Answer:
Divide each term by -5 and simplify
Step-by-step explanation
-5/-5=1
-5/-80=16
x<16