Answer:
x = 61°
y = 61°
z = 58°
Step-by-step explanation:
In the given triangle, measures of two sides are equal. So, measures of angles opposite to them are also equal.
Therefore,
![x + x + 58 \degree = 180 \degree \\ \\ 2x = 180 \degree - 58 \degree \\ \\ 2x = 122 \degree \\ \\ x = \frac{122 \degree}{2} \\ \\ x = 61\degree \\ \\ y = 61\degree \\ ( \angle s \: in \: the \: alternate \: segment) \\ \\ z = 58\degree \\ ( \angle s \: in \: the \: alternate \: segment) \\](https://tex.z-dn.net/?f=x%20%2B%20x%20%2B%2058%20%5Cdegree%20%3D%20180%20%5Cdegree%20%5C%5C%20%20%5C%5C%202x%20%3D%20180%20%5Cdegree%20-%2058%20%5Cdegree%20%5C%5C%20%20%5C%5C%202x%20%3D%20122%20%5Cdegree%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B122%20%5Cdegree%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%2061%5Cdegree%20%20%5C%5C%20%20%5C%5C%20y%20%3D%2061%5Cdegree%20%20%5C%5C%20%20%28%20%5Cangle%20s%20%5C%3A%20in%20%5C%3A%20the%20%5C%3A%20alternate%20%5C%3A%20segment%29%20%5C%5C%20%5C%5C%20z%20%3D%2058%5Cdegree%20%20%5C%5C%20%20%28%20%5Cangle%20s%20%5C%3A%20in%20%5C%3A%20the%20%5C%3A%20alternate%20%5C%3A%20segment%29%20%5C%5C%20)
Answer:
![\sqrt{44} = 2\sqrt{11}](https://tex.z-dn.net/?f=%5Csqrt%7B44%7D%20%3D%202%5Csqrt%7B11%7D)
Step-by-step explanation:
Apply pythagorean theorem:
ABD is a right triangle with angle ADB = 90
hence AD =
where BD = 10 because it is half of BC
AD =
= ![\sqrt{44} = 2\sqrt{11}](https://tex.z-dn.net/?f=%5Csqrt%7B44%7D%20%3D%202%5Csqrt%7B11%7D)
Answer:
It is called "an account receivable"
Step-by-step explanation:
Answer:
![-\frac{1}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
The slope of this line is 2 because the rise from one point is 2, and the run is 1. The change in y-value is divided by the change in the x-value which is 2/1, hence, the slope of the line being 2.
The slope of the line perpendicular to the one shown below will be
because the slope that will result in a perpendicular line is the negative reciprocal of the original slope.
Step-by-step explanation:
5(3x+2)-2(4x-1)
15x+10-8x+2
7x+12