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12345 [234]
3 years ago
9

If ||| m, solve for x and y.

Mathematics
2 answers:
Troyanec [42]3 years ago
8 0

Answer: x=11 y=3

.......

rosijanka [135]3 years ago
4 0

Answer:

x = 11, y = 3

Step-by-step explanation:

(13x - 19) and (9x + 25) are corresponding angles and congruent, thus

13x - 19 = 9x + 25 ( subtract 9x from both sides )

4x - 19 = 25 ( add 19 to both sides )

4x = 44 ( divide both sides by 4 )

x = 11

Then

13x - 19 = 13(11) - 19 = 143 - 19 = 124

(17y + 5) and 124 are alternate angles and are supplementary, thus

17y + 5 + 124 = 180, that is

17y + 129 = 180 ( subtract 129 from both sides )

17y = 51 ( divide both sides by 17 )

y = 3

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When considering similar triangles, we need congruent angles and proportional sides.

Hence
"Angles B and B' are congruent, and angles C and C' are congruent." is sufficient to prove similarity of two triangles.

"Segments AC and A'C' are congruent, and segments BC and B'C' are congruent." does not prove anything because we know nothing about the angles.

"Angle C=C', angle B=B', and segments BC and B'C' are congruent." would prove ABC is congruent to A'B'C' if and only if AB is congruent to A'B' (not just proportional).

"<span>Segment BC=B'C', segment AC=A'C', and angles B and B' are congruent</span>" is not sufficient to prove similarity nor congruence because SSA is not generally sufficient.

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3 0
3 years ago
Read 2 more answers
Erin feeds her dog 7/10 cup of food a day . With 3/10 cup canned and the rest dry . She also gives her dog 1 treat a day . How m
gavmur [86]

Answer:

2\frac{4}{5}\ \ or \ 2.8 \ \ cups

Step-by-step explanation:

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  • Canned-3/10
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-One week has 7 days. we multiply the dry portion per day by the number of days in a week.

Dry= Total -Canned\\\\=\frac{7}{10}-\frac{3}{10}\\\\=0.40 \ cup\\\\Dry \ per \ Week= Dry/ day\times days\\\\=0.40\times 7\\\\=2\frac{4}{5}\  or\  2.8 \ cups

Hence, Erin feed her dog 2 4/5 0r 2.8 cups of dry food

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The answer is 7.75. Since there can not be 7.75 days, you can round that to 8 and say that it's almost 8 days. Hope this helps!

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Answer:

D' = ( -3, -2)

Step-by-step explanation:

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3 years ago
Which value is a solution to the inequality 5x – 1 ≤ –11?
avanturin [10]

Answer:

x≤-2

Step-by-step explanation:

To solve the inequality, we have to add 1 on each side:

5x-1≤11

  +1   +1

And then we get:

5x≤-10.

To find x, we have to divide each side by 5:

5x/5≤-10/5

After we do that, we get:

x≤-2.

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3 years ago
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