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topjm [15]
3 years ago
8

USLUIT il Find x. 45° 30°

Mathematics
1 answer:
IceJOKER [234]3 years ago
7 0

Answer:

111°

Step-by-step explanation:

  • All these are parallel lines, so the 36° angle is equal to the 36° angle inside the big triangle because they are vertically opposite.

  • Ignore the line cutting between 45° and the 30° and consider it as one triangle
  • Add them to get 75°
  • Now you have two known angles 75° and 36°
  • To get angle <em>x</em><em> </em>add 75° and 36° to get 111°
  • Because x° is an exterior angle and exterior angles equal to the sum of interior angles opposite it inside the triangle.
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Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3
Nat2105 [25]

<em><u>Question:</u></em>

Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1/2 inches long. The scale of the floor plan is 1/4 inch = 1 foot. What is the actual length of Hector’s room?

<em><u>Answer:</u></em>

The actual length of Hector room is 14 foot

<em><u>Solution:</u></em>

Given that, On the floor plan, his bedroom is 3 inches wide and 3\frac{1}{2} inches long

<em><u>The scale of floor plan is given as:</u></em>

\frac{1}{4} \text{ inch} = 1 \text{ foot }

Therefore,

1 \text{ inch } = 4 \text{ foot}

To find: Actual length of floor

From given question,

length = 3\frac{1}{2} \text{ inches}

Converting the mixed fraction to improper fraction,

length = \frac{2 \times 3 + 1}{2} = \frac{7}{2} \text{ inches }

Since, 1 inch = 4 foot

\frac{7}{2} \text{ inches } = \frac{7}{2} \times 4 \text{ foot } = 14 \text{ foot }

Thus actual length of Hector room is 14 foot

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3 years ago
Six pumps working together empty a tank in 28 minutes. How long will it take to empty the tank if 4
Katarina [22]

Answer:

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Step-by-step explanation:

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Yolanda needs to ship a 35 pound package. If she has to pay 52of a dollar per pound, what is the amount, in dollars, that she ne
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Answer:

$1820

Step-by-step explanation:

35 x 52 = $1820

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We'll take out LCM of 24 seconds and 28 seconds.
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That means,
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3 years ago
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