The answer would be 13.89
Answer:
11
Step-by-step explanation:
Answer:
Slope = -4
Step-by-step explanation:
Given points are :
(-1,30) and (4, 10)
We need to find the slope of the line that passes through these points.
We know that, the formula for the slope of line is given by :
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have, x₁ = -1, y₁ = 30, x₂ = 4 and y₂ = 10
Put values in the above formula.
![m=\dfrac{10-30}{4-(-1)}\\\\=\dfrac{-20}{5}\\\\=-4](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B10-30%7D%7B4-%28-1%29%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-20%7D%7B5%7D%5C%5C%5C%5C%3D-4)
So, the slope of the line is -4.
a) ∠PQR=65° (alternate interior angles theorem)
∠PRQ = 60° (linear pair)
x = 55° (angles in a triangle add to 180°)
b) ∠APQ and ∠PQR are congruent alternate interior angles.