Answer:
Step-by-step explanation:
Triangle ABC: 30^2 + 40^2 = 50^2 is a true statement, so by the Pythagorean theorem, this is a right triangle.
Triangle XYZ: 1^2 + 1^2 = 2^2 is a false statement, so by the Pythagorean theorem, this is not a right triangle.
Triangle EFG: 8^2 + 15^2 = 17^2 is a true statement, so by the Pythagorean theorem, this is a right triangle.
Your new line has to have the same slope as the green line for them to be parallel, so start off with y=-3/4x+b.
Plug in (2,4) into the new line so 2 for x and 4 for y
It should look like 4=-3/4(2)+b
-3/4x2 is -1.5
Then add 1.5 to both sides and you should get 5.5=b
Your new line is y=-3/4x+5.5 and (0,5.5) is a point on the line
PSF: y - y₁ = m(x - x₁)
Standard Form: ax + by = c
Point Slope Form Standard Form
1). y - 3 = -4(x + 8) 2). y = -4x - 29
y - 3 = -4x - 32 + 4x + 4x
+ 3 + 3 ---------------------------------
----------------------------- 4x + y = -29
y = =4x - 29
Solving the triangle requires solving all of the dimensions involve in the polygon given. We are given an angle, and two of the sides of the triangle. We can solve the third side by using the law of cosines.
b² = a²+c²-2accos(B)
b² = 38² + 18² - 2(38)(18)cos(36)
b = 25.7
We use the law of sines to solve for the angles.
a/sinA = b/sinB
38/sinA = 25.7/sin36
A = 60.4°
C = 180 - 36 - 60.4 = 83.6°
