Step-by-step explanation:
Find the 3rd angle in the triangle, let's call it y
36 + 73 + y = 180
109 + y = 180
y= 71
y is equivalent to x by vertical angles theorem
x= 71
2nd way
Use exterior angles theorem
180 - (36+73) = x
180 - 109 = x
71 = x
I hope this helps!!!
(-3, 1) y = 2/5x - 4
x₁ y₁ slope (m) = 2/5x
Since the equation we are looking for is perpendicular to y = 2/5x - 4, we need to find the opposite reciprocal slope. We have to flip the slope upside down and turn it negative.
2/5 ⇒ 5/2 ⇒ -5/2
So far, we have the equation y = -5/2.
Now, we need to find the y intercept by plugging in the given point into point slope form, which is...
y - y₁ = m(x - x₁)
The subscripts in the y and x are just the x and y in (-3,1). They are just placeholders, not exponents.
y - 1 = -5/2(x + 3)
y - 1 = -5/2x - 15/2
+ 1 + 1
------------------------------
y = -5/2x - 13/2 ⇒ final equation
<span>16</span>π units²
I hope this helps, and have anice day!