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3 years ago

Find the value of x.

Mathematics

2 answers:

erastovalidia [21]3 years ago

7 0

Answer:

60 = x

Step-by-step explanation:

180-144 = 36

36+84 = 120

180-120 = 60

NemiM [27]3 years ago

3 0

Answer:

Value of x is 60°.

Step-by-step explanation:

According to the theorum,

The exterior angle is equal to the sum of the opposite two interior angles.

Exterior angle is 144°. The interior angles are 84° and x°

$\longrightarrow$ x° + 84° = 144°

$\longrightarrow$ x° = 144° - 84°

$\longrightarrow$ x° = 60°

Value of x is 60°.

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Kim and Melody are selling popcorn buckets for a school fundraiser. Customers can buy small buckets or large buckets. Kim sold 3

Papessa [141]

Answer:

The cost of

A small bucket = x = $8

A Larger bucket = y = $13

Step-by-step explanation:

Let the cost of

A small bucket = x

A Larger bucket = y

Kim sold 3 small buckets and 14 large buckets of popcorn for a total of $206.

3x + 14y = 206... Equation 1

Melody sold 11 small buckets and 11 large buckets of popcorn for a total of $231.

11x + 11y = 231.... Equation 2

What is the cost for a small bucket and a large bucket of popcorn?

3x + 14y = 206... Equation 1

11x + 11y = 231 ....... Equation 2

We solve using Elimination method

Multiply Equation 1 by 11 and Equation 2 by 3 to Eliminate x

33x + 154y = 2266.... Equation 3

33x + 33y = 693....... Equation 4

We subtract Equation 4 from Equation 3

121y = 1573

y = 1573/121

y = $13

Solving for x

3x + 14y = 206... Equation 1

3x + 14 × 13 = 206

3x + 182 = 206

3x = 206 - 182

3x = 24

x = 24/3

x = $8

Hence, the cost of

A small bucket = x = $8

A Larger bucket = y = $13

4 0

3 years ago

A dolphin is 9 feet below the surface of the ocean. If its position can be recorded as −9 feet, what would the position of 0 rep

bearhunter [10]

Answer:

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I am guessing

Step-by-step explanation:

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3 years ago

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worty [1.4K]

Answer:

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4 years ago

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ELEN [110]

Step-by-step explanation:

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3 years ago

A clock has a diameter of 16 inches. How far does the hour hand travel during 5 hours? Use 3.14 for pi.

Karo-lina-s [1.5K]

Therefore the hour hand travels 40.192in in 5 hours

<h3>
How to calculate the area of a sector</h3>

A sector is said to be a part of a circle made of the arc of the circle along with its two radii.

The formula for calculating the area of a sector is expressed as;

A = r²β/2

where

r is the radius of the circle

β is the angle subtended

Since the the hour hand travel during 5 hours, the subtended angle by the sector will be;

β = 360/5

β = 72 degrees

Given the following parameters

r = 16/2

r = 8in

Substitute into the formula

A = 8²(72π)/360
A = 40.192in

Therefore the hour hand travels 40.192in in 5 hours

Learn more on area of a sector here: brainly.com/question/22761976

#SPJ1

8 0

1 year ago