MATHEMATICS HIGH SCHOOL

Which best describes the area of a polygon

Answers

Answer 1

Answer:

Answer:

The number of square units contained in the interior

Step-by-step explanation:

apex

Answer 2

Answer: well when answering this you have to realize that the area of a polygon is the number of square units in that polygon. it really does depend on what type of polygon you are talking about. Anything in specific?

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What is the area of a triangle with vertices at (0, −2) ,(8, −2) , and (9, 1) ?
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Answers

The area of a triangle with vertices at (0, −2) ,(8, −2) and (9, 1) is 12 square units

Solution:

Given, vertices of the triangle are A(0, -2), B(8, -2) and C(9, 1).

We have to find the area of the given triangle.

The area of triangle when vertices are given is:

$\text { Area of triangle }=(1)/(2)\left|x_(1)\left(y_(2)-y_(3)\right)+x_(2)\left(y_(3)-y_(1)\right)+x_(3)\left(y_(1)-y_(2)\right)\right|$

$\text { Where, }\left(x_(1), y_(1)\right),\left(x_(2), y_(2)\right),\left(x_(3), y_(3)\right) \text { are vertices of the triangle. }$

Here in our problem,

$\left(\mathrm{x}_(1), \mathrm{y}_(1)\right)=(0,-2),\left(\mathrm{x}_(2), \mathrm{y}_(2)\right)=(8,-2) \text { and }\left(\mathrm{x}_(3), \mathrm{y}_(3)\right)=(9,1)$

Now, substitute the above values in the formula:

$\text { Area of triangle }=(1)/(2)\left|x_(1)\left(y_(2)-y_(3)\right)+x_(2)\left(y_(3)-y_(1)\right)+x_(3)\left(y_(1)-y_(2)\right)\right|$

$\begin{array}{l}{=(1)/(2)|0(-2-1)+8(1-(-2))+9(-2-(-2))|} \n\n {=(1)/(2)|0+8(1+2)+9(2-2)|} \n\n {=(1)/(2)|0+24+0|} \n\n {=(24)/(2)} \n\n {=12 \text { square units }}\end{array}$

Hence, the area of the triangle is 12 square units.

Latoya performs an experiment using the lab equipment shown.Which two properties is Latoya most likely measuring?

mass and volume

volume and temperature

temperature and length

length and mass

Answers

Answer

B volume and temp

Step-by-step explanation:

The cup is telling you the volume in the cup and the temp stick thing is telling you temp. Hope this helped

Answer:

Step-by-step explanation:

True or False it's possible to build a triangle with side lengths of 5,5, and 10.

Answers

It's not possible, because the sum of the lenghts of every two sides of a triangle has to be greater than the length of the third one. It this case that condition isn't met: $5+5\not>10$