B. Alternate exterior angles theorem
Answer:
y = 8
Step-by-step explanation:
Line1 with points (4, 1) and (0, 0):
slope = (y₂ - y₁) / (x₂ - x₁)
= (0 - 1) / (0 - 4)
= 1/4
Perpendicular line is opposite inverse so original slope 1/4 becomes -4/1 or simply -4.
Line2 with points (1, 0) and (-1, y):
slope = (y₂ - y₁) / (x₂ - x₁)
= (y - 0) / (-1 - 1)
= y / -2
y must equal to 8 for the slope to be -4 as stated above.
Answer:
? = 14
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan ? = 8/33
Taking the inverse tan of each side
tan ^-1 ( tan ?) = tan ^-1 ( 8/33)
? =13.62699
To the nearest degree
? = 14
Answer:
The area is 31.5
Step-by-step explanation:
first you find the area of the rectangle (l x w) = 21
next you find the area of the triangle (b x h x 1/2) = 10.5
then you add the two areas together = 31.5
good luck with your khan academies :)
Answer: C. quadrant l
Step-by-step explanation: