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KatRina [158]
3 years ago
9

Carson wants to construct a triangle with side lengths of 4 inches, 7 inches, and 12 inches. Which best describes a triangle wit

h those side lengths
1)Nonexistent
2)Ambiguously defined
Mathematics
1 answer:
andrey2020 [161]3 years ago
3 0

Answer: 2

Step-by-step explanation: Of course you probably never learned this

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x = 3

Step-by-step explanation:

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2 years ago
Expand and simplify (4x +3)(2x - 5
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Step-by-step explanation:

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3 years ago
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The area of a square for on a scale drawing of 100 square centimeters and the scale drawing to 1 cm: 2 feet what is the area of
lilavasa [31]

Answer:

1.\boxed{\text{400 ft}^{2}}; 2. \boxed{\frac{1}{3716}}

Step-by-step explanation:

Step 1. Calculate the area of the floor

If the area A₁ of a square floor on the scale drawing is 100 cm², the length of a side is 10 cm.

The side length l of the actual floor is  

l = 10 cm × (2 ft/1 cm) = 20 ft

The area A₂ of the floor is  

A = l² = (20 ft)² = \boxed{\text{400 ft}^{2}}\\

Step 2. Calculate the area ratios

We must express both areas in the same units.  

Let's express the area of the room in square centimetres.

l = 20 ft ×  (12 in/1 ft) = 240 in

l = 240 in × (2.54 cm/1 in) = 609.6 cm

A₂ = l² = (609.6 cm)² = 371 612 cm²

The area A₁ on the scale drawing is 100 cm².

The ratio of the areas is

\frac{A_{1}}{ A_{2}} = \frac{100}{371612} = \frac{1 }{3716}\\

The ratio of the area in the drawing to the actual area is \boxed{\frac{1}{3716}}

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3 years ago
An angle measures 32° more than the measure of its complementary angle. What is the measure of each angle?
Leviafan [203]

Answer:

29° ; 61°

Step-by-step explanation:

Let one angle  = x°

Other angle = (x + 32)°

x + x + 32 = 90   {given they are complementary}

2x + 32 = 90

2x = 90 -32

2x = 58

x = 58/2

x = 29

One angle  = 29°

Other angle = 29 + 32 = 61°            

3 0
3 years ago
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