To get the type of triangle mentioned we need to find the value of x first.
Sum of angles in a triangle add up to 180°, thus
2x+(3x-15)+(7x+15)=180
2x+3x-15+7x+15=180
12x=180
x=15°
thus the respective sizes will be:
2x=30°
3x-15=30°
7x+15=120°
Since the triangle has two congruent angles we conclude that the triangle is called Isosceles triangle
It depends on if the problem is multiplication or division, you do the base and add the exponents usually
Answer:
![x=3](https://tex.z-dn.net/?f=x%3D3)
Step-by-step explanation:
![-3 (x + 4) + 15 = 6-4x](https://tex.z-dn.net/?f=-3%20%28x%20%2B%204%29%20%2B%2015%20%3D%206-4x)
![-3x-12 + 15 = 6-4x](https://tex.z-dn.net/?f=-3x-12%20%2B%2015%20%3D%206-4x)
Move -4x from right hands ide of the equation to left hand side
![-3x+4x+3 = 6](https://tex.z-dn.net/?f=-3x%2B4x%2B3%20%3D%206)
Move 3 from left hand side to right hand side
![x = 6 - 3](https://tex.z-dn.net/?f=x%20%3D%206%20-%203)
![x=3](https://tex.z-dn.net/?f=x%3D3)
Step-by-step explanation:
Its Undefined.
Reason
Slope (m) = y2 - y1/(x2-x1)
= 3-(-6)/(12-12)
=9/0
Undefined
You can clearly see this from the points. The x value has 2 different values for y... Which Makes the points not that of a function.
The perimeter is 41.7
Find the length of each side using the distance formula:
![d=\sqrt{(0-0)^2+(-5-9)^2}=\sqrt{0^2+14^2}=\sqrt{196}=14 \\ \\d=\sqrt{(6-0)^2+(-10--5)^2}=\sqrt{6^2+(-5)^2}=\sqrt{36+25}=\sqrt{61}=7.8 \\ \\d=\sqrt{(6-0)^2+(-10-9)^2}=\sqrt{6^2+(-19)^2}=\sqrt{36+361}=\sqrt{397}= \\19.9](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%280-0%29%5E2%2B%28-5-9%29%5E2%7D%3D%5Csqrt%7B0%5E2%2B14%5E2%7D%3D%5Csqrt%7B196%7D%3D14%0A%5C%5C%0A%5C%5Cd%3D%5Csqrt%7B%286-0%29%5E2%2B%28-10--5%29%5E2%7D%3D%5Csqrt%7B6%5E2%2B%28-5%29%5E2%7D%3D%5Csqrt%7B36%2B25%7D%3D%5Csqrt%7B61%7D%3D7.8%0A%5C%5C%0A%5C%5Cd%3D%5Csqrt%7B%286-0%29%5E2%2B%28-10-9%29%5E2%7D%3D%5Csqrt%7B6%5E2%2B%28-19%29%5E2%7D%3D%5Csqrt%7B36%2B361%7D%3D%5Csqrt%7B397%7D%3D%0A%5C%5C19.9)
Adding the side lengths, we have
14+7.8+19.9=41.7