I can't show the work, but if the problem is printed or on the computer, I recommend using Photomath in the AppStore :)
Answer:
x - 5
Step-by-step explanation:
Answer:
A. AAS
Step-by-step explanation:
In both triangles, the line mn and jh are congruent, the angles k and g are congruent, and h and m are congruent.
Answer:
add x
Step-by-step explanation:
The operation "subtract 5" has eliminated the constant from the right side of the equation, so the next step would be to eliminate the variable from the left side. You do that by adding the opposite of the variable term.
The opposite of the term -x is x, so we "add x" as the next step.
This makes the solution look like ...
-x +6 = 5 -3x
-x +1 = -3x . . . . . . subtract 5
1 = -2x . . . . . . . . . add x
-1/2 = x . . . . . . . . .divide by -2
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<em>Comment on this solution</em>
My preference is always to add the opposite of the variable term with the smallest coefficient. Here, that term is -3x, so I would add 3x as a first step. This leaves the only x-term with a <em>positive</em> coefficient, so can reduce errors in the solution.
Answer:
1. B. BD
2. C. 15
3. A. 2
Step-by-step explanation:
1. From the figure,
∠DAB = ∠DAC
Therefore, BD is the bisector of ∠ABC.
2. From the figure, IG = GH
3x = 5x - 10
10 = 5x - 3x
2x = 10
x = 5
So, GH = 5x - 10
= 5(5) - 10
= 25 - 10
= 15
Therefore, GH = 15.
3. From the figure,
∠DAB = ∠DAC
10y = 8y + 4
10y - 8y = 4
2y = 4
y = 2