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sveticcg [70]
3 years ago
10

Based on the pattern of the drawings, which conjecture

Mathematics
2 answers:
anzhelika [568]3 years ago
8 0

Answer:

The most reasonable answer would likely be the first.

"When a pair of parallel lines is intersected by a third line, the alternate exterior angles are congruent."

Step-by-step explanation:

navik [9.2K]3 years ago
5 0

Answer:

<h2>When a pair of parallel lines is intersected by a third line, the alternate exterior angles are congruent.</h2>

Step-by-step explanation:

This is the reasonable conjecture, because it's what actually happens. To get the answer we must remember what are alternate exterior angles.

Alternate exterior angles are formed by the intersection of a pair of parallels and a lines that intersect them like the figure shows. From this intersection result 4 pair of angles that are related: alternate interior angles, alternate exterior angles, corresponding angles and interior angles on the same side of the transversal.

So, alternate exterior angles are those outside the parallels (that's why they are called exterior), and they are placed in different sides of the intersecting line, one on the left, one on the right.

<em>Therefore, as you can see in the image, in each intersection, </em><em>there are two angles outside the parallels and in different sides of the intersecting line</em><em>, so they are alternate exterior angles, and they are the same, because the number shows it.</em>

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Benito spent $1837 to operate his car last year. Some of these expenses are listed on the table below:
Dmitry_Shevchenko [17]

Answer:

$0.085 per mile or 8.5 cent per mile

Step-by-step explanation:

We know:

Total expenses = $1837

Gasoline expense = Total expenses - other expenses

= 1837 - 972 - 114 - 105 = $646

Benito drove in total of: 7600 miles

Cost of gasoline per mile = Money spent for gasoline / total miles

= $646 / 7600

= $0.085 per mile or 8.5 cent per mile

Hope this helped :3

3 0
3 years ago
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At the library by 9 books on a certain topic the librarian tells you that 55% of the books on this topic have been signed out ho
Alex17521 [72]
About 5 books have been signed out, so they still have 4.
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3 years ago
RSM QUESTION NEED HELP!!!!!! A pharmacist has a 13 % alcohol solution and another 18 % alcohol solution. How much of each must h
Luden [163]

Answer:

40 grams of 13% alcohol solution and 10 grams of 18% alcohol solution.

Step-by-step explanation:

13%(x) + 18%(50-x) = 14%*50g   Multiply them all

0.13x + (9-0.18x) = 7

0.13x-0.18x + 9 = 7   Simplify the equation and subtract 0.13x from 0.18x

9-0.05x = 7   Add 0.05x to each side

9 = 7+0.05x   Subtract 7 from both sides

0.05x = 2   Multiply each side by 100

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x = 40

50 - 40 = 10

40 grams and 10 grams

Your welcome

4 0
3 years ago
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Please help me.
Bezzdna [24]

It would not because 3/4 of 20 is 15 so that would fit, but 3/4 of 16 is 12, so it would not fit there.

3 0
3 years ago
Simplify as far as possible without a calculator.<br> 3√7(2√2+4√7)
MrRa [10]

Answer:

6 \sqrt{14}  + 84

Step-by-step explanation:

distribute 3√7 by multiplying to each term In parenthesis

3√7×2√2+3√7×4√7

6√14+12√49

6√14+12(7)

6√14+84

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2 years ago
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