The little lines on each side of the rhombus mean that all the sides are the same length.

We can set line LM and MN equal to solve for X, then we can solve the length of a side.

3x-3 = x+7

Add 3 to each side:
3x = x +10

Subtract x from each side:

2x = 10

Divide both sides by 2:
x = 10/2
x = 5

Now we have the value for x, replace x in one of the side formulas:

x +7 = 5+7 = 12

Each side = 12 units.

The perimeter would be 12 + 12 + 12 + 12 = 48 units.

3 0

3 years ago

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There are 16 fruits on the table. Maria has

anyanavicka [17]

Jack has 2, Maria has 9, Paul has 5.

6 0

3 years ago

Make a conjecture about the sum of the first 54 positive even numbers

Bogdan [553]

Uhhhhhhhhhh i don’t really know

3 0

3 years ago

Determine the length of the longest metal rod which could be stored in a rectangle box 20 cm by 50 cm by 30 cm.

navik [9.2K]

Answer:

61.64 cm

Step-by-step explanation:

The longest metal rod which could be stored in a rectangular box will be equal to its diagonal:

$\therefore \: length \: of \:metal \: rod \\ = \sqrt{ {l}^{2} + {b}^{2} + {h}^{2} } \\ = \sqrt{ {20}^{2} + {50}^{2} + {30}^{2} } \\ = \sqrt{400 + 2500 + 900} \\ = \sqrt{3800} \\ = 61.64414 \\ = 61.64 \: cm$

5 0

3 years ago

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