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9514 1404 393
Answer:
(c) 10 -N = 8 +N
Step-by-step explanation:
The difference between 10 and a number is (10 -N).
The sum of 8 and a number is (8 +N).
In this context, "is" means "equals," so we have ...
10 -N = 8 +N
Answer: x = 2
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Explanation:
Refer to the diagram below.
I've added points D,E,F,G. This helps with labeling the segments and angles, and identifying the proper triangles (to see which are congruent pairs).
Triangle GEA is congruent to triangle GFA. We can prove this using the AAS congruence theorem. We have AG = AG as the pair of congruent sides, and the congruent pairs of angles are marked in the diagram (specifically the blue pairs of angles and the gray right angle markers)
Since triangle GEA is congruent to triangle GFA, this means the corresponding pieces segment GF and GE are the same length.
The diagram shows GF = 3x-4, so this means GE = 3x-4 as well.
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Through similar steps, we can show that triangle GEC is congruent to triangle GDC. We also use AAS here as well.
The congruent triangles lead to GD = GE. So GD = 3x-4. The diagram shows that GD = 6x-10
Since GD is equal to both 3x-4 and 6x-10, this must mean the two expressions are equal.
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Now let's solve for x
6x-10 = 3x-4
6x-3x = -4+10
3x = 6
x = 6/3
x = 2
Answer:
80
Step-by-step explanation:
<h2>Hope this helped </h2>
Answer:
about 20
Step-by-step explanation:
The numbers round to 600/30 = 20, which is a reasonable estimate.
You can refine this by doing the next step of long division:
29×20 = 580
Subtracting this from 591.3 give 11.3, so the fraction is ...
11.3/29 ≈ 10/30 = 1/3
A better estimate is 20 1/3.
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A calculator tells you the quotient is about 20.3897.