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zepelin [54]
3 years ago
7

Find the missing side length

Mathematics
1 answer:
romanna [79]3 years ago
3 0

Answer:

35

Step-by-step explanation:

Since the triangles are similar, we can write a ratio

25      ?

---- = -----

5       7

Using cross products

25*7 = 5 ?

Divide each side by 5

25*7/5 = 5?/5

35 = ?

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What is the measure if each interior angle of a 15-gon
olya-2409 [2.1K]

Answer:

  • The sum of the interior angles of the 15-gon =\:2340^0
  • Each interior angle of the regular polygon =\:156^0

Step-by-step explanation:

As we know that

In any convex polygon, if we may start at one vertex and draw the diagonals to all the other vertices, we would form triangles,

The number of triangles thus formed would always  2  LESS than the number of sides.

As

  • The sum of measure of the angles of any triangle is 180°.

Thus,

The sum of the interior angles of the 15-gon will be:

13\:\times\:180\:=\:2340^0

Also

15-gon is regular, it means this total 2340^0 is shared in equal proportion among the 15 interior angles.

And

Each interior angle of the regular polygon will be:  \frac{2340^{0} }{15}=156^{0}

Therefore, we conclude that:

  • The sum of the interior angles of the 15-gon =\:2340^0
  • Each interior angle of the regular polygon =\:156^0

Keywords: regular polygon, 15-gon, triangle

Learn more about polygon from brainly.com/question/11932357

#learnwithBrainly

3 0
3 years ago
3/4 + (1/3 ÷ 1/6) - (-1/2) =?​
stepladder [879]

Answer:

[See Below]

Step-by-step explanation:

✦ Turn fractions into decimals:

  • \frac{3}{4} =0.75  
  • -\frac{1}{2} =-0.5
  • (We will do something different for \frac{1}{3} and \frac{1}{6}.)

✦ Divide:

  • \frac{1}{3} ÷ \frac{1}{6}=2
  • (Since the denominators are multiplies of each other we can divide them without having to change them into decimals.)

✦ Simplified Equation:

  • 0.75+2-(-0.5)

✦ Add:

  • 0.75+2=2.75

✦ Subtract:

  • 2.75-(-0.5)=3.25
  • (Subtraction rule is if there is 2 negatives next to each other in a problem it turns into a positive.)

✦ So your answer would be:

  • \frac{13}{4} (Exact Form)
  • 3~ \frac{1}{4} (Mixed Number Form)
  • 3.25 (Decimal Form)

~<em>Hope this helps Mate. If you need anything feel free to message me. </em>

8 0
3 years ago
The line plot shows the distances, in feet, Carlos jumped in the long jump during several attempts at track practice.
yanalaym [24]
Carlos made 10 jump attempts
8 0
3 years ago
Read 2 more answers
ILL GIVE BRAINLIEST! PLEASE HELP I DONT UNDERSTAND!
blsea [12.9K]

Answer:

S₁₅ = 645

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Using the nth term formula a_{n} = 5n + 3 , then

a₁ = 5(1) + 3 = 5 + 3 = 8

a₂ = 5(2) + 3 = 10 + 3 = 13 , then

d = a₂ - a₁ = 13 - 8 = 5

Thus

S₁₅ = \frac{15}{2} [ (2 × 8) + (14 × 5) ]

     = 7.5( 16 + 70)

     = 7.5 × 86

     = 645

7 0
2 years ago
Which percent is represented by the diagram below?
ivanzaharov [21]
Your answer will be B 12.5% because there's one whole that equals 10 and the second box that has 2 and a half that's equals 2.5 and then you add them together...

10+2.5=12.5

So your answer is B 12.5.
5 0
3 years ago
Read 2 more answers
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