Answer:
![x\degree = 75\degree](https://tex.z-dn.net/?f=%20x%5Cdegree%20%3D%2075%5Cdegree%20)
Step-by-step explanation:
Property used: <em>An exterior angle of a triangle is equal to the sum of the opposite interior angles.</em>
![= > 62\degree + (x + 13)\degree = 2x\degree \\ \\ = > 62\degree + x\degree + 13\degree = 2x\degree \\ \\ = > 75\degree = 2x\degree - x\degree \\ \\ = > 75\degree = x\degree \\ \\ = > x\degree = 75\degree](https://tex.z-dn.net/?f=%3D%20%20%3E%2062%5Cdegree%20%2B%20%28x%20%2B%2013%29%5Cdegree%20%3D%202x%5Cdegree%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%3E%2062%5Cdegree%20%2B%20x%5Cdegree%20%2B%2013%5Cdegree%20%3D%202x%5Cdegree%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%3E%2075%5Cdegree%20%3D%202x%5Cdegree%20-%20x%5Cdegree%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%3E%2075%5Cdegree%20%3D%20x%5Cdegree%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%3E%20x%5Cdegree%20%3D%2075%5Cdegree)
Answer:
2
Step-by-step explanation: 0 = 2x - 4
2x = 4
x = 2
<u>Answer-</u>
<em>The lines are two </em><em>coinciding lines</em><em> or the </em><em>same lines</em><em>.</em>
<u>Solution-</u>
The given line equations are
the first one,
the second one,
As we know two line equations
and
will be,
- Parallel if,
![\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}](https://tex.z-dn.net/?f=%5Cdfrac%7BA_1%7D%7BA_2%7D%3D%5Cdfrac%7BB_1%7D%7BB_2%7D)
- Coincide if,
![\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}=\dfrac{C_1}{C_2}](https://tex.z-dn.net/?f=%5Cdfrac%7BA_1%7D%7BA_2%7D%3D%5Cdfrac%7BB_1%7D%7BB_2%7D%3D%5Cdfrac%7BC_1%7D%7BC_2%7D)
- Intersect if,
![\dfrac{A_1}{A_2}\neq \dfrac{B_1}{B_2}](https://tex.z-dn.net/?f=%5Cdfrac%7BA_1%7D%7BA_2%7D%5Cneq%20%5Cdfrac%7BB_1%7D%7BB_2%7D)
As here,
![\Rightarrow \dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}=\dfrac{C_1}{C_2}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7BA_1%7D%7BA_2%7D%3D%5Cdfrac%7BB_1%7D%7BB_2%7D%3D%5Cdfrac%7BC_1%7D%7BC_2%7D)
![\Rightarrow \dfrac{1}{1}=\dfrac{-5}{-5}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7B1%7D%7B1%7D%3D%5Cdfrac%7B-5%7D%7B-5%7D)
(C₁ and C₂ aren't considered as they are 0)
Therefore, the lines are two coinciding lines or the same lines.
Answer:
39.2 is the mean
the deviation is 15.2
Step-by-step explanation:
the mean of a set of numbers is the sum divided by the number of terms = 39.2
the deviation measures the spread of a data distribution of the sample = 15.2
Answer:
x = 1
Step-by-step explanation:
![\frac{2}{3} x - \frac{5}{6} = - \frac{5}{12} x + \frac{1}{4} \\ \frac{2}{3}x + \frac{5}{12} x = \frac{1}{4} + \frac{5}{6} \\ \frac{8}{12} x + \frac{5}{12}x = \frac{3}{12} + \frac{10}{12} \\ \frac{13}{12} x = \frac{13}{12} \\ x = 1](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20x%20-%20%20%5Cfrac%7B5%7D%7B6%7D%20%20%3D%20%20-%20%20%5Cfrac%7B5%7D%7B12%7D%20x%20%2B%20%20%5Cfrac%7B1%7D%7B4%7D%20%20%5C%5C%20%20%5Cfrac%7B2%7D%7B3%7Dx%20%2B%20%20%5Cfrac%7B5%7D%7B12%7D%20%20x%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D%20%20%2B%20%20%5Cfrac%7B5%7D%7B6%7D%20%20%5C%5C%20%20%5Cfrac%7B8%7D%7B12%7D%20x%20%2B%20%20%5Cfrac%7B5%7D%7B12%7Dx%20%3D%20%20%5Cfrac%7B3%7D%7B12%7D%20%20%2B%20%20%5Cfrac%7B10%7D%7B12%7D%20%20%5C%5C%20%20%5Cfrac%7B13%7D%7B12%7D%20x%20%3D%20%20%5Cfrac%7B13%7D%7B12%7D%20%20%5C%5C%20x%20%3D%201)