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Misha Larkins [42]
3 years ago
7

Pentagon ABCDE is a regular polygon. The length of side BC is represented by 3x - 4. The length of side DE is represented by the

expression 4x - 9. Find the length of side AB.
Mathematics
1 answer:
dimulka [17.4K]3 years ago
5 0

Answer:

Length of side AB = 5

Step-by-step explanation:

A regular polygon is one in which all angles are equal and all the sides have the same length.

Now, it means that;

AB = BC = CD = DE = AE

We are told that BC is represented by 3x - 4 while DE is represented by the expression 4x - 9.

Thus, from equal length of sides of a regular polygon, we have;

3x - 4 = 4x - 9

4x - 3x = 9 - 4

x = 5

Thus, length of BC = 3(5) - 4 = 15 - 4 = 11

Therefore, Length of AB = 5

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Formula of interior and exteiror angle and how much interior + exterior equals to
VLD [36.1K]

Answer:

The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides. The sum of exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.Properties of exterior angles.  The sum of exterior angle and interior angle is equal to 180 degrees.

Step-by-step explanation:

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5 0
3 years ago
The mid-point or number which divides a series of values into two groups of equal numbers of values is referred to as the:
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3 0
3 years ago
Help me on this one please
Troyanec [42]
The answer is 35.

We have the ratio 7/9 cross multiply with x/45

7*45 = 315

315/9 = 35
7 0
3 years ago
Rachel has $10.00. She wants to buy a book that costs $6.79. Will she have enough
prisoha [69]

Answer:

No

Step-by-step explanation:

Because 10 - 6.79 = 3.21

8 0
2 years ago
Read 2 more answers
A circle has a circumference of 10. It has an arc length of 9/2. What is the central angle of the arc in degrees?
dem82 [27]

Answer: The central angle of the arc is 162 degrees.

Step-by-step explanation: The information available are as follows;

Circumference of the circle equals 10. Length of an arc equals 9/2. The circumference of a circle is given as;

Circumference = 2Pi x r

That means 2Pi x r = 10.

Also the length of an arc along the same circle is 9/2. Length of an arc is calculated as;

Length of arc = (X/360) x 2Pi x r

Where X is the central angle of the arc

That means;

9/2 = (X/360) x 2Pi x r

We can now substitute for the known values as follows

Length of an arc = (X/360) x 2Pi x r

9/2 = (X/360) x 10

9/2 = 10X/360

By cross multiplication we now have

(9 x 360)/(2 x 10) = X

3240/20 = X

162 = X

The angle at the center of the arc is 162 degrees.

6 0
3 years ago
Read 2 more answers
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