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Drupady [299]
3 years ago
7

PLEASE HELP ME WITH THESE 4 QUESTION thx :) WORTH 100 POINTS!!!

Mathematics
1 answer:
lozanna [386]3 years ago
5 0

Answer:

  1. d = 2/3
  2. c = 3/2
  3. y = 2/3
  4. x = 4 2/19

Step-by-step explanation:

<u>Solving for variables</u>

1.......................................

  • 4 2/9 =6 1/3∙d
  • 38/9= 19/3d
  • d = 38/9 ÷ 19/3
  • d = 38/9*3/19
  • d = 2/3

2.......................................

  • c÷ 2/11 =8 1/4
  • c ÷ 2/11 = 33/4
  • c = 33/4*2/11
  • c = 3/2

3.......................................

  • 2 1/2 =1 2/3÷y
  • 5/2 = 5/3 ÷ y
  • y = 5/3 ÷ 5/2
  • y = 5/3 * 2/5
  • y = 2/3

4.......................................

  • 6x=24 12/19
  • 6x = 24 + 12/19
  • x = 24/6 + 12/19 *1/6
  • x = 4 + 2/19
  • x = 4 2/19
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Adonis created a rectangular play area for his dog in his backyard. The length of the long side was 10ft and the length of the s
Drupady [299]

Answer:

The perimeter of the dog's play area is 30 ft

Step-by-step explanation:

Rectangle:

  • The opposite sides are congruent.
  • The opposite angles are congruent.
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  • The sum of two adjacent angles of a rectangle is 180°.
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Given that,

The length of the long side of the dog's play area was = 10 ft.

So, Length of dog's play area is = 10 ft.

The length of the short side of the dog's play area was = 5 ft.

So, width of dog's play area is = 5 ft.

It is a rectangular plot.

So, the perimeter of the dog's play area is =2(Length+width)

                                                                      =2(10+5) ft

                                                                      =2(15) ft

                                                                      =30 ft

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50 Points: Name the similar triangles &amp; Prove the similarity with details
Leno4ka [110]

<u>Let's consider the facts at hand</u>:

  • By Vertical Angle Theorem ⇒ ∠BCE = ∠DCF
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  • Sides BE = DF

<u>Based on the diagram, triangles BCE and triangles DCF are similar</u>

   ⇒ based on the Angle-Angle theorem

      ⇒ since ∠BCE = ∠DCF and ∠BEC = ∠DFC

         ⇒ the two triangles are similar

Hope that helps!

<em>Definitions of Theorem I used:</em>

  • <u><em>Vertical Angle Theorem: </em></u><em>opposite angles of two intersecting lines must be equal</em>
  • <u><em>Angle-Angle Theorem:</em></u><em> if two angles of both triangles are equal, then the given triangles must be similar</em>

<em />

     

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