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Likurg_2 [28]
2 years ago
11

NO LINKS!!!!Similarity Flow Chart Proofs Part 5​

Mathematics
1 answer:
Inessa05 [86]2 years ago
8 0

Answer:

  • See below

Step-by-step explanation:

<h3>#10</h3>

According to diagram we have

  • TU ║ WV and TV is transversal
  • ∠T ≅ ∠V as alternate interior angles
  • TX ≅ VX
  • ∠TXU ≅ ∠WXV as vertical angles

Conclusion

  • ΔTXU ≅ ΔWXV by ASA (angle-side-angle)
<h3>#11</h3>

ABC and DCB are right triangles but corresponding sides have different ratio

  • 5/5 ≠ 13/12

So triangles are not similar

<h3>#12</h3>

According to Pythagorean the missing hypotenuse is

  • \sqrt{3^2+4^2}=\sqrt{25} =5

The triangles have three congruent pairs of sides (3, 4 and 5 units) so are congruent by SSS (or HL)

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John could not decide, but he had 9 dollars he could spend on fruit kabobs that cast 1.75 dollars and smoothies that cost 2.50 d
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Answer:

One fruit kabob and one smoothie

Two fruits kabobs and two smoothies

Three fruit kabobs and one smoothie

One fruit kabob and two smoothies

Explanation:

In this situation, the basic combination John can afford is simply to buy one fruit kabob and one smoothie ( $1.75 + $ 2.50 = $4.25) because he wants at least one unit of each item. Additionally, it is possible to add more units of each item to create new combinations or possibles, just make sure they do not total more than 9 dollars, which is the money John has. Here are some of the possible combinations:

Two fruit kabobs and two smoothies

Fruit kabobs: $1.75 x 2 = $3.5

Smoothies: $ 2.50 x 2 = $5

Total: $8.5

Three fruit kabobs and one smoothie

Fruit kabobs: $1.75 x 3 = $5.25

Smoothie: $2.50

Total: $7.75

One fruit kabob and two smoothies

Fruit kabob: $1.75

Smoothies: $2.50 x 2 = $5

Total: $6.75

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