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andriy [413]
3 years ago
10

PLEASE HELP SOLVE THIS!!!!!!!!!!!

Mathematics
1 answer:
Sphinxa [80]3 years ago
4 0

9514 1404 393

Answer:

  a) yes; 12/15/17 ~ 20/25/x; SAS

  b) x = 28 1/3

Step-by-step explanation:

The left-side segments are in the ratio ...

  top : bottom = 12 : 8 = 3 : 2

The right side segments are in the ratio ...

  top : bottom = 15 : 10 = 3 : 2

These are the same ratio, and the angle at the peak is the same in both triangles, so the triangles are similar by the SAS postulate.

Normally, a similarity statement would identify the triangles by the labels on their vertices. Here, there are no such labels, so we choose to write the statement in terms of the side lengths, shortest to longest:

  12/15/17 ~ 20/25/x

__

The sides of similar triangles are proportional, so the ratio of longest to shortest sides will be the same in the two triangles. In the smaller triangle, the longest side is 17/12 times the length of the shortest side. The value of x will be 17/12 times the length of the shortest side in the larger triangle:

  x = 17/12 · 20 = 340/12

  x = 28 1/3

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8 0
2 years ago
Suppose you work for a large coffee distribution that has a secret coffee blend it sells to local stores. Gazebo blend with Kona
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8 0
3 years ago
The legs of the right triangle are 2 and 4. Find the length of the hypotenuse.
RoseWind [281]

Correct answer:

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Explanation:

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Using the labels of our triangle we have:

o2+a2=h2

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8 0
2 years ago
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matrenka [14]

Answer:

Step-by-step explanation:

Comment

The formula that relates edges faces and vertices is  F + V = E + 2

Givens

Edges (E): 37

Faces (F) = 25

Vertices: x

Solution

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25-25 +x= 37 - 25 + 2    Combine

x = 12 + 2

x = 14

Answer: The vertices =<u> 14</u>

7 0
2 years ago
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