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pochemuha
3 years ago
13

Solve for x. Enter your answer in the box. x = °

Mathematics
2 answers:
Alex Ar [27]3 years ago
5 0

Answer:

Measure of the unknown angle x will be = 109°

Step-by-step explanation:

Sum of all interior angles with n sides of a polygon is given by (n - 2)× 180°

Now in the picture attached, polygon has the number of sides = 5

By placing the value of n = 5 in the expression

(5 - 2)×180° = x + 121 + 108 + 102 + 100

3 × 180 = x + 431

540 = x + 431

x = 540 - 431

x = 109°

Therefore, measure of the unknown angle x will be = 109°

liq [111]3 years ago
4 0

As we can notice the shape is a Pentagon. A Pentagon's angles should add up to 540. So we can use simple addition and subtraction to solve.

121 + 108 + 102 + 100 = 431

540 - 431 = 109

109 should be your answer

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put x = -6 in the equation.

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3 0
3 years ago
Darius uses 6 2/3 cup of bread cubes to make a batch of stuffing for his family. How many cups of bread cubes will he need to ma
bekas [8.4K]

Answer:

Darius needs 26\frac{2}{3} cups of bread cubes to make four batches of stuffing for a family reunion.

Step-by-step explanation:

Given:

bread cubes to make a batch of stuffing  =   6 2/3 cup

To Find:

Number of cups of bread cubes needed to make four batches of stuffing for a family reunion = ?

Solution:

According to the question, to make one batch of stuffing Darius needs 6\frac{2}{3} cups of bread cubes

So if he wants to make four batched, then the number of cups of bread cubes  will be four times  as needed for making one batch

Then

Number of cups of bread cubes needed to make four batches = 4 x  bread cubes needed to make a batch of stuffing

Number of cups of bread cubes needed to make four batches

=  4 \times 6\frac{2}{3}

=>4 \times \frac{18+2}{3}

=> 4 \times \frac{20}{3}

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3 years ago
Alexia started babysitting when she was in high school. She has built a reputation for herself and has become popular among the
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3 years ago
I rectangular garden is fence on all sides with 245 feet of fencing for garden is 6 feet longer than it is wide find the length
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Answer:  1591

Step-by-step explanation: Let's look for the clues.  A rectangle has 4 sides, 2 sides are equal length and so are the other 2 sides of a rectangle.  

 

Perimeter of a rectangle is Side 1 + Side 2 + Side 3 + Side 4.

 

Side 1 and Side 3 (for example) are the longer sides of the rectangle, they will be equal.

Side 2 and 4 (for example) are the shorter sides of the rectangle, they will be equal.

 

Sides 1 + 2 + 3 + 4 = 160

 

Side 1 and Side 3 are equal to "x + 6", or in plain english 6 feet longer than the other sides.

Side 2 and 4 are equal to "x"

 

Adding them all together

 

x + x + x+6 + x+6 = 4x + 12 = 160

 

4x + 12 = 160 is now a much simpler algebra problem.

 

4x = 148

 

x = 37

 

 

So the shorter sides are each 37, the longer sides are each 43.

 

The area of a rectangle is length times width.

 

37 x 43 = 1591 ft squared

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2 years ago
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