Answer:
A is the Answer
Step-by-step explanation:
Since the population is being split up into 2 divisions out of 5,000.
This means District X and Y must add up 5000.
District X and Y must differ no more than 500 people.
So this means that X and Y total people difference cannot be over 500 people. So the equation for this is
A shows this so A is the answer.
Answer:
∠C ≅ ∠M or ∠B ≅ ∠L
Step-by-step explanation:
You are given an angle and its opposite side as being congruent. AAS requires two congruent angles and one side, so you need another set of congruent angles (one in each triangle). It does not matter which they are. The above-listed pairs are appropriate.*
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* Since the figure cannot be assumed to be drawn to scale, either of angles B or C could be declared congruent to either of angles L or M. However, it appears that angles B and L are opposite the longest side of the triangle, so it makes good sense to declare that pair congruent. The same congruence statement (ΔBCD≅ΔLMN) would result from declaring angles C and M congruent. So, either declaration will work (matches the last answer choice.)
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AAS requires two angles and a side. One side is already marked, so we do not need any more information about sides. (The second and third answer choices can be rejected as irrelevant.)
From point A, draw a line segment at an angle to the given line, and about the same length. The exact length is not important. Set the compasses on A, and set its width to a bit less than one fifth of the length of the new line. Step the compasses along the line, marking off 5 arcs. Label the last one C. With the compasses' width set to CB, draw an arc from A just below it. With the compasses' width set to AC, draw an arc from B crossing the one drawn in step 4. This intersection is point D. Draw a line from D to B. Using the same compasses' width as used to step along AC, step the compasses from D along DB making 4 new arcs across the line. Draw lines between the corresponding points along AC and DB. Done. The lines divide the given line segment AB in to 5 congruent parts.
Let’s take the number .666666 repeating
If we turn it into a fraction it’s 2/3.
It doesn’t matter how many numbers repeat to write a fraction.
Hope this helps.
