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3 years ago

Solve for x ( angle solving )

Mathematics

1 answer:

AlekseyPX3 years ago

4 0

Answer:

24°

Step-by-step explanation:

x + 9° + 147° = 180° ( being linear pair)

x = 180° - 156°

x = 24°

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Area of a triangle with points at (-9,5), (6,10), and (2,-10)

Ann [662]

First we are going to draw the triangle using the given coordinates.
Next, we are going to use the distance formula to find the sides of our triangle.
Distance formula: $d= \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Distance from point A to point B:
$d_{AB}= \sqrt{[6-(-9)]^2+(10-5)^2}$
$d_{AB}= \sqrt{(6+9)^2+(10-5)^2}$
$d_{AB}= \sqrt{(15)^2+(5)^2}$
$d_{AB}= \sqrt{225+25}$
$d_{AB}= \sqrt{250}$
$d_{AB}=15.81$

Distance from point A to point C:
$d_{AC}= \sqrt{[2-(-9)]^2+(-10-5)^2}$
$d_{AC}= \sqrt{(2+9)^2+(-10-5)^2}$
$d_{AC}= \sqrt{11^2+(-15)^2}$
$d_{AC}= \sqrt{121+225}$
$d_{AC}= \sqrt{346}$
$d_{AC}= 18.60$

Distance from point B from point C
$d_{BC}= \sqrt{(2-6)^2+(-10-10)^2}$
$d_{BC}= \sqrt{(-4)^2+(-20)^2}$
$d_{BC}= \sqrt{16+400}$
$d_{BC}= \sqrt{416}$
$d_{BC}=20.40$

Now, we are going to find the semi-perimeter of our triangle using the semi-perimeter formula:
$s= \frac{AB+AC+BC}{2}$
$s= \frac{15.81+18.60+20.40}{2}$
$s= \frac{54.81}{2}$
$s=27.41$

Finally, to find the area of our triangle, we are going to use Heron's formula:
$A= \sqrt{s(s-AB)(s-AC)(s-BC)}$
$A=\sqrt{27.41(27.41-15.81)(27.41-18.60)(27.41-20.40)}$
$A= \sqrt{27.41(11.6)(8.81)(7.01)}$
$A=140.13$

We can conclude that the perimeter of our triangle is 140.13 square units.

3 0

2 years ago

PLEASE HELP, IT WOULD BE MUCH APPRECIATED!! THANK YOU SO MUCH!! Do the graphs above show a relation, a function, both a relation

rewona [7]

Answer:

Well it definitely can't be a function

Step-by-step explanation:

To find out if a graph is a function, you can use the vertical line test. The vertical line test is when you draw a line down the center and if it hits one point, it's a function. But, when it hits more than one point, it's not. In this case, a line would hit more than one point; meaning that they are not functions.

4 0

3 years ago

A boy is building a pyramid out of building blocks. He puts 20 blocks in the first row, then he puts 19 blocks in the row above,

rjkz [21]

Answer:

<h3>The answer is 206 I believe</h3>

8 0

3 years ago

The dot plot below shows how many laps each student in Coach Toni's gym class ran one day.

Marysya12 [62]

$\underbrace{5;5;5;5;10;10;15;15;20;35}_{10}\\\\5\cdot4+10\cdot2+15\cdot2+20+35=125\\\\\frac{125}{10}=12.5\leftarrow\boxed{B}$