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Evgen [1.6K]
3 years ago
14

What is the value of x

Mathematics
1 answer:
Ratling [72]3 years ago
4 0
<h3>Answer:</h3>

90°

<h3>Step-by-step explanation:</h3>

The polygon has 7 sides, so the total of internal angles will be ...

... 180°×(7 -2) = 900°

The sum is then ...

... x + 146° +122° +142° +140° +110° +142° = 900°

... x + 802° = 900° . . . . . simplify

... x = 98° . . . . . . . . . . . . .subtract 802°

_____

<em>Comment on angle measure formula</em>

The usual formula for computing the total of internal angles of a convex polygon with n sides is ...

... total angle measure = (n -2)×180°

This can be simplified from the fact that the sum of external angles is always 360°. That is, for internal angles a1, a2, ..., an, the sum of external angles is ...

... (180° -a1) +(180° -a2) +... +(180° -an) = 360°

... n×180° -(a1 +a2 +... +an) = 360° . . . . . . collect terms

... n×180° -360° = (a1 +a2 +... +an) . . . . . . add ∑ak -360°

... 180°×(n -2) = a1 +a2 +... +an . . . . . . . . . factor out 180°

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Mashutka [201]
2x-5=x+11
x-5=11
x=16
2(16)-5
32-5
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8 0
3 years ago
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A polygon is shown on the graph: A polygon is shown on a coordinate plane. The vertices are A at negative 6 comma 5, B at negati
Alik [6]

Answer:

A) (-1’,1‘)

B) (-1’,-2’)

C) (3’,-2’)

D) (3’,2’)

Step-by-step explanation:

A) (-1’,1‘)

B) (-1’,-2’)

C) (3’,-2’)

D) (3’,2’)

5 0
3 years ago
You need to design a rectangle with a perimeter of 14.2 cm. The length must be 2.4 cm. What is the width of the
irina1246 [14]

Part (a)

<h3>Answer: 2(2.4+w) = 14.2</h3>

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

Explanation:

L = 2.4 = length

W = unknown width

The perimeter of any rectangle is P = 2(L+W)

We replace L with 2.4, and replace P with 14.2 to get 14.2 = 2(2.4+w) which is equivalent to 2(2.4+w) = 14.2

========================================================

Part (b)

<h3>Answer:   w = 4.7</h3>

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

Explanation:

We'll solve the equation we set up in part (a)

2(2.4+w) = 14.2

2(2.4)+2(w) = 14.2

4.8+2w = 14.2

2w = 14.2-4.8

2w = 9.4

w = 9.4/2

w = 4.7

The width must be 4.7 cm.

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3 years ago
Write a word problem that can be solved using 1 3/4 divided by 1/2
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If &lt; A and &lt; B form a linear pair, and &lt; A = x - 13 degrees, and &lt; B = x + 7 degrees, then find x. Select one: a. 12
Andreas93 [3]

The correct value of "x" will be "93".

According to the question,

  • A linear pair of sum to 180°,

then

→ x-13+x+7=180

→             2x -6=180

By adding "6" both sides of the equation, we get

→       2x-6+6=180-6

→                   2x=186

→                     x = \frac{186}{2}

→                     x = 93

Thus "option d" is the right answer.  

Learn more:

brainly.com/question/19152299

8 0
3 years ago
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