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3 years ago

How do I find x In these two problems?

Mathematics

2 answers:

erastovalidia [21]3 years ago

6 0

Answer:

N = number of sides

The sum of the interior angles of a polygon is equal to (N x 180)-360.

The first problem has 7 sides so the interior angle total = 900 degrees.

Add up all the known interior angles:

96+105+161+123+155+114+x = 900

x = 900-754 = 146 degrees

The second problem has 6 sides so the interior angle total = 720 degrees.

Add up all the known interior angles:

127+40+202+90+150+x = 720

x = 720-609 = 111 degrees

Akimi4 [234]3 years ago

3 0

Answer:

#1: 146 degrees #2: 111 degrees

Step-by-step explanation:

The angles of a heptagon (a shape with 7 sides) are supposed to add up to 900 degrees, so just add up all the sides that you know and subtract it from 900 and you will have x! Do the same thing with the second one, except is is a hexagon and all the angles should add up to 720 degrees. (Don't forget to add the right angle, which is 90 degrees) So add up all the sides you know and subtract from 720 to get x.

P.S. If correct, please give Brainliest?

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The floor of a square bedroom has an area of 169 square feet. The length of each side of the bedroom floor is__________feet.

lakkis [162]

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3 years ago

Overline MD cong overline LS additional information is necessary to show that triangle MTD cong triangle LGS by SSS?

aivan3 [116]

Answer:

$TD \cong GS$

Step-by-step explanation:

See comment for complete question

Given:

$TM \cong GL$

$MD \cong LS$

Required

The information that shows $\triangle MTD \cong \triangle LGS$ by SSS

By SSS implies that, the three sides of both triangles are congruent

Already, we have:

$TM \cong GL$

$MD \cong LS$

The third side of $\triangle MTD$ is $TD$

The third side of $\triangle LGS$ is $GS$

So, for both to be congruent by SSS, the third sides must be congruent

i.e.

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3 years ago

What is theformula for finding the hight of a 30-60-90 degree triangle

miv72 [106K]

We don't know which side your triangle is sitting on, so the 'height'
could be any one of three values.

Here are the two simple tools that tell you everything you want to
know about a 30°-60°-90° triangle. These are worth memorizing:

-- The side opposite the 30° angle is 1/2 of the hypotenuse.

-- The side opposite the 60° angle is 1/2 of the hypotenuse times √3 .

I memorized them exactly 60 years ago. They've been very useful,
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3 years ago

The board of directors of a corporation must select a president, a secretary, and a treasurer. In how many possible ways can thi

pentagon [3]

Answer:

9,240 ways possible in which this can be accomplished if there are 22 members on the board of directors.

Step-by-step explanation:

Total number of available members in the board = 22

The number of posts chosen are a president, a secretary, and a treasurer.

For the Post of President:

The number of available options to choose a president = 22 options

For the Post of Secretary:

As we can not repeat the members because one person CANNOT hold two positions simultaneously.

The number of available options to choose a secretary = 21 options

For the Post of Treasurer:

As we can not repeat the members because two person CANNOT hold three positions simultaneously.

The number of available options to choose a treasure = 20 options

Now, the possible ways can this whole election be accomplished is the product of all possible options

= 22 option x 21 option x 20 option

= 9,240 ways

Hence, there are 9,240 ways possible in which this can be accomplished if there are 22 members on the board of directors.

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3 years ago

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solong [7]

Answer:

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3 years ago