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AleksandrR [38]
3 years ago
10

What is the value of x?​

Mathematics
2 answers:
Hatshy [7]3 years ago
8 0

Answer:

x=84

Step-by-step explanation:

the sum of the angles in a pentagon is always 540 so do

540-131-108-107-110=84

DaniilM [7]3 years ago
8 0

Answer:

84

Step-by-step explanation:

The picture shown is 5 sided polygon

By using the formula (n - 2) * 180

We would get (5 - 2) * 180

3 * 180 = 540

We first add

131 + 108 + 107 + 110 + x = 456 + x

With the angle of the entire polygon, we would subtract which would give us the value for x

540 - 456 = 84

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a hexagon inscribed in a circle has three consecutive sides each of length 3 and three consecutive sides each of length 5. the c
allochka39001 [22]

According to given conditions, m+n is equal to 409.

Consider the diagram below.

In the hexagon ABCDEF, let

AB = BC = CD = 3;

DE = EF = FA = 5;

Arc BAF is equal to one-third of the circle's circumference.

Hence, ∠BCF = ∠BEF = 60°;

Similarly, ∠CBE = ∠CFE = 60°;

Let the point of intersection of BE and CF be P, BE and AD be Q and CF and AD be R.

∴ Δ EFP and Δ BCP are equilateral, and so Δ PQR is also equilateral.

Also, ∠ BAD and ∠ BED subtend the same arc and so do ∠ ABE and ∠ ADE.

∴ Δ ABQ is similar to Δ EDQ

\frac{AQ}{EQ}  = \frac{BQ}{DQ} = \frac{AB}{ED} = \frac{3}{5}

Also,

\frac{\frac{AD - PQ}{2} }{PQ + 5} = \frac{3}{5}  

and \frac{3 - PQ}{\frac{AD + PQ}{2} }  = \frac{3}{5}

On solving these simultaneous equations, we get AD = 360/49

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4 0
1 year ago
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Step-by-step explanation:

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4 0
1 year ago
The value of 82 is between which two integers?
hoa [83]

Hey there!

Let's look at the squares of all of our answer options. We will compare them to eighty two to see which it belongs in.

A. 36 and 49.

B. 49 and 64.

C. 64 and 81.

D. 81 and 100

As you can see, 82 is in between 81 and 100, so the answer is D. 9 and 10.

Also, the square root of 82 is about 9.05, and this fits our answer.

Have a wonderful day!

8 0
3 years ago
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