Total Unit of Triangle = 2+4+9 = 15
Value of one unit = 180/15 = 12
So, Angles = 2(12) : 4(12) : 9(12) = 24 : 48 : 108
In short, Your Angles would be: 24, 48 & 108
Hope this helps!
Answer:
![-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14 : x = \frac{840}{180^{\circ \:}}](https://tex.z-dn.net/?f=-3%5E%7B%5Ccirc%20%5C%3A%7Dx%5Cleft%28-3%5Cright%29%3D%5Cleft%28-3%5Cright%29%5Ccdot%20%5C%3A14%20%3A%20x%20%3D%20%5Cfrac%7B840%7D%7B180%5E%7B%5Ccirc%20%5C%3A%7D%7D)
Decimal Form:
![x = -267.38030...](https://tex.z-dn.net/?f=x%20%3D%20-267.38030...)
Step-by-step explanation:
![-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14](https://tex.z-dn.net/?f=-3%5E%7B%5Ccirc%20%5C%3A%7Dx%5Cleft%28-3%5Cright%29%3D%5Cleft%28-3%5Cright%29%5Ccdot%20%5C%3A14)
Remove Parentheses: ![(-a) = -a](https://tex.z-dn.net/?f=%28-a%29%20%3D%20-a)
![-3^{\circ \:}x\left(-3\right)=-3\cdot \:14](https://tex.z-dn.net/?f=-3%5E%7B%5Ccirc%20%5C%3A%7Dx%5Cleft%28-3%5Cright%29%3D-3%5Ccdot%20%5C%3A14)
Multiply the numbers: ![3 * 14 = 42](https://tex.z-dn.net/?f=3%20%2A%2014%20%20%3D%2042)
![-3^{\circ \:}x\left(-3\right)=-42](https://tex.z-dn.net/?f=-3%5E%7B%5Ccirc%20%5C%3A%7Dx%5Cleft%28-3%5Cright%29%3D-42)
Divide both sides by: ![-3^{\circ \:}\left(-3\right)](https://tex.z-dn.net/?f=-3%5E%7B%5Ccirc%20%5C%3A%7D%5Cleft%28-3%5Cright%29)
![\frac{-3^{\circ \:}x\left(-3\right)}{-3^{\circ \:}\left(-3\right)}=\frac{-42}{-3^{\circ \:}\left(-3\right)}](https://tex.z-dn.net/?f=%5Cfrac%7B-3%5E%7B%5Ccirc%20%5C%3A%7Dx%5Cleft%28-3%5Cright%29%7D%7B-3%5E%7B%5Ccirc%20%5C%3A%7D%5Cleft%28-3%5Cright%29%7D%3D%5Cfrac%7B-42%7D%7B-3%5E%7B%5Ccirc%20%5C%3A%7D%5Cleft%28-3%5Cright%29%7D)
Simplify:
![x=-\frac{840}{180^{\circ \:}}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B840%7D%7B180%5E%7B%5Ccirc%20%5C%3A%7D%7D)
Hope I helped. If so, may I get brainliest and a thanks?
Thank you, have a good day! =)
Answer:
In solving a system of linear equations, we try to find values for each of the unknowns that will satisfy every equation in the system
Step-by-step explanation:
Answer:
y = -4x - 6
Step-by-step explanation:
The equation of a line in point-slope form.
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=%20y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29%20)
is the equation of the line containing point (x1, y1) and having slope, m.
The given point of the perpendicular bisector is (-1, -2), so in this case, x1 = -1, and y1 = -2.
We need the slope of the perpendicular bisector. First we find the slope of the segment. We start at point (-5, -3). We go up 1 unit and 4 units to the right, and we are at another point on the segment. Since slope = rise/run, the slope of the segment is 1/4. The slopes of perpendicular lines are negative reciprocals, so the slope of the perpendicular bisector is the negative reciprocal of 1/4, so for the perpendicular bisector, m = -4.
Now we use the equation above and our values.
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=%20y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29%20)
![y - (-2) = -4(x - (-1))](https://tex.z-dn.net/?f=%20y%20-%20%28-2%29%20%3D%20-4%28x%20-%20%28-1%29%29%20)
![y + 2 = -4(x + 1)](https://tex.z-dn.net/?f=%20y%20%2B%202%20%3D%20-4%28x%20%2B%201%29%20)
![y + 2 = -4x - 4](https://tex.z-dn.net/?f=%20y%20%2B%202%20%3D%20-4x%20-%204%20)
![y = -4x - 6](https://tex.z-dn.net/?f=%20y%20%3D%20-4x%20-%206%20)
Answer:
Option (2)
Step-by-step explanation:
Since, rotation of any figure is a rigid transformation, side lengths and measure of angles of the image polygon after rotation will remain same.
NP = N'P'
Coordinates of N → (5, 9)
Coordinates of P → (7, 9)
Formula of distance between two points
and
is,
d = ![\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
By this formula length of NP = ![\sqrt{(7-5)^2+(9-9)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%287-5%29%5E2%2B%289-9%29%5E2%7D)
= 2 units
Therefore, Option (2) will be the correct option.