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4 years ago

9

The Measure Of A Angle Is 18 Less Than Twice Its Complement. Find The Measure Of The Angle.

1 answer:

SpyIntel [72]4 years ago

7 0

Answer: 54

Step-by-step explanation: 2x -18 = 90

2x = 108

x = 54

*Complement means complementary angle. Complementary angles always add up to 90 degrees!

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4 years ago

(a) The perimeter of a rectangular field is 310 m.

Softa [21]

Answer:

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a. $\boxed{ \bold{ \boxed{ \sf{width \: of \: rectangular \: field \: = 71 \: meter}}}}$

b. $\boxed{ \bold{ \boxed{ \sf{length \: of \: rectangular \: painting \: = 85 \: cm}}}}$

Step-by-step explanation:

a. Given,

Perimeter of rectangular field ( P ) = 310 m

Length of the field ( L ) = 84 m

Width of the field ( W ) = ?

<u>Finding </u><u>the </u><u>width </u><u>of </u><u>the </u><u>rectangular</u><u> </u><u>field</u>

$\boxed{ \sf{perimeter \: of \: rectangle = 2(l + w)}}$

plug the values

⇒ $\sf{310 = 2(84 + w)}$

Distribute 2 through the parentheses

⇒ $\sf{310 = 168 + 2w}$

Swap the sides of the equation

⇒ $\sf{168 + 2w = 310}$

Move 168 to right hand side and change it's sign

⇒ $\sf{2w = 310 - 168}$

Subtract 168 from 310

⇒ $\sf{2w = 142}$

Divide both sides of the equation by 2

⇒ $\sf{ \frac{2w}{2} = \frac{142}{2} }$

Calculate

⇒ $\sf{w = 71 \: m}$

Width = 71 meters

------------------------------------------------------------

2. Given,

Area of rectangular painting ( A ) = 5185 cm²

Width of the painting ( w ) = 61 cm

Length of the painting ( l ) = ?

<u>Finding </u><u>length </u><u>of </u><u>the </u><u>painting</u>

$\boxed{ \sf{area \: of \: rectangle = l \times w}}$

plug the values

⇒ $\sf{5185 = 61l}$

Swap the sides of the equation

⇒ $\sf{61 \: l \: = 5185}$

Divide both sides of the equation by 61

⇒ $\sf{ \frac{61 \: l}{61} = \frac{5185}{61} }$

Calculate

⇒ $\sf{l = 85}$ cm

Length = 85 cm

Hope I helped!

Best regards !!!

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3 years ago

A heavy rope, 60 ft long, weighs 0.3 lb/ft and hangs over the edge of a building 130 ft high. (Let x be the distance in feet bel

Oduvanchick [21]

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y a Sancho Panza y justifica: aventurero,

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Step-by-step explanation:

Presenta Don Quijote de la Mancha: autor,

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2. Relata las diferentes etapas de la historia

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3. Elige un adjetivo para calificar a don Quijote

y a Sancho Panza y justifica: aventurero,

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4 years ago