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nignag [31]
1 year ago
11

I need help solving this question the first one says 3 options and they are 5,4,10 and the second one 60,180,360 and the last on

e is 360,1800,900

Mathematics
1 answer:
Harman [31]1 year ago
6 0

The polygon ABCDEFG is a heptagon, which is a seven-sided polygon. It can divided into 5 triangles.

The triangle sum theorem states that the sum of all interior angles in any triangle is equal to 180⁰

Therefore, the total interior angle measure of polygon ABCDEFG is:

5\times180=900^{\circ}

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Please Answer Attachment Below Thanks
docker41 [41]

Answer:

Step-by-step explanation:

The interior angles of a heptagon add up to 5*180 = 900

So

x + 143 + 116 + 135 + 135 + 116 + 155 = 900     Add up the known angles

x + 800 = 900                                                   Subtract 800 from both sides

x + 800 - 800 = 900 - 800                              Combine

x = 100

8 0
4 years ago
To find the distance AB across a river, a surveyor laid off a distance BC=361 m on one side of the river. It is found that B=111
zhannawk [14.2K]

Answer:

91.87m

Step-by-step explanation:

We are given that

BC=361 m

Angle B=111^{\circ}20'=111+\frac{20}{60}=111.33^{\circ}

1 degree= 60 minute

Angle C=12^{\circ} 15'=12+\frac{15}{60}=12.25^{\circ}

We have to find the value of AB.

Sum of angles of triangle=180 degrees

\angle A+\angle B+\angle C=180

\angle A=180-(\angle C+\angle B)=180-(111.33+12.25)=56.42^{\circ}

By using law of sine

\frac{AB}{sin C}=\frac{BC}{sin A}

AB=\frac{BCsin C}{sin A}=\frac{361 sin 12.25^{\circ}}{sin 56.42^{\circ}}

AB=91.87 m

7 0
4 years ago
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8 0
3 years ago
How can I simplify this and show work?
svp [43]
\frac{ \sqrt{3}}{ \sqrt{5} - \sqrt{6} }  \\ = \frac{ \sqrt{3}( \sqrt{5} + \sqrt{6}) }{( \sqrt{5} - \sqrt{6})( \sqrt{5} + \sqrt{6})}  \\ = \frac{ \sqrt{15}+3 \sqrt{2} }{5-6}  \\ =- \sqrt{15}-3 \sqrt{2}
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6 0
3 years ago
I NEED HELP RIGHT NOW
KatRina [158]

Answer:

Bro it is not so clear ........

7 0
3 years ago
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