Answer:
x=30
Step-by-step explanation:
Find the value of x that will make A and B parallel
For A & B to be parallel, the interior angles must be supplementary, i.e.
4x+2x = 180
6x=180
x=30
When x=30, the interior angles are 120 and 60 which are supplementary.
Answer:
136
Step-by-step explanation:
For the second question, it is 136 because for triangles all side when added always equal to 180, so if you add 24 and 20 (which = 44) and subtract it from 180, it gives you 136, which is the answer and the angle of n.
Answer:
Step-by-step explanation:
We will use the following steps to solve this problem,
Step - (1).
Covert the equations into slope-intercept form.
Step - (2)
If the slopes of the two lines are equal, lines will be parallel.
![m_1=m_2](https://tex.z-dn.net/?f=m_1%3Dm_2)
Step - (3)
If the slopes of the two lines are negative reciprocal, lines will be perpendicular.
![m_1\times m_2=-1](https://tex.z-dn.net/?f=m_1%5Ctimes%20m_2%3D-1)
Line 1: 8x - 6y = -2
6y = 8x +2
y = ![\frac{4}{3}x+\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7Dx%2B%5Cfrac%7B1%7D%7B3%7D)
Slope of line 1 = ![m_1=\frac{4}{3}](https://tex.z-dn.net/?f=m_1%3D%5Cfrac%7B4%7D%7B3%7D)
Line 2: y = ![-\frac{3}{4}x-5](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B4%7Dx-5)
Slope of line 2 = ![m_2=-\frac{3}{4}](https://tex.z-dn.net/?f=m_2%3D-%5Cfrac%7B3%7D%7B4%7D)
Line 3: 4y = -3x + 3
y = ![-\frac{3}{4}x+\frac{3}{4}](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B4%7Dx%2B%5Cfrac%7B3%7D%7B4%7D)
Slope of line 3 =
1). Since, ![m_1\times m_2=\frac{4}{3}\times (-\frac{3}{4})=-1](https://tex.z-dn.net/?f=m_1%5Ctimes%20m_2%3D%5Cfrac%7B4%7D%7B3%7D%5Ctimes%20%28-%5Cfrac%7B3%7D%7B4%7D%29%3D-1)
Line 1 and line 2 are perpendicular.
2). Since, ![m_1\times m_3=\frac{4}{3}\times (-\frac{3}{4})=-1](https://tex.z-dn.net/?f=m_1%5Ctimes%20m_3%3D%5Cfrac%7B4%7D%7B3%7D%5Ctimes%20%28-%5Cfrac%7B3%7D%7B4%7D%29%3D-1)
Line 1 and line 2 are perpendicular.
3). Since, ![m_2=m_3=-\frac{3}{4}](https://tex.z-dn.net/?f=m_2%3Dm_3%3D-%5Cfrac%7B3%7D%7B4%7D)
Line 2 and line 3 are parallel.
Hey there!☺
![Answer:\boxed{(3x-10)(x+1)}](https://tex.z-dn.net/?f=Answer%3A%5Cboxed%7B%283x-10%29%28x%2B1%29%7D)
![Explanation:](https://tex.z-dn.net/?f=Explanation%3A)
![3x^2-7x-10](https://tex.z-dn.net/?f=3x%5E2-7x-10)
We will need to factor
. In order to that, we will have to start grouping.
![(3x-10)(x+1)](https://tex.z-dn.net/?f=%283x-10%29%28x%2B1%29)
Hope this helps!