Answer:
m + n = 140°
Step-by-step explanation:
∵ The measure of the angle next to n = 40° ⇒ vertically opposite angle with the angle 40°
From parallel lines m , n and angle 40° next to n are interior supplementary means their sum is 180°
∴ m + n + 40° = 180°
∴ m + n = 180 - 40 = 140°
Answer:
Slope of the line that passes through the points (1, 7) and (3, 3) = -2
Step-by-step explanation:
Given in the question two co-ordinates,
(1, 7)
(3, 3)
here x1 = 1
x2 = 3
y1 = 7
y2 = 3
Formula to use
m =
=
= -4/2
= -2
Answer:
30 miles
Step-by-step explanation:
1/4 = 2
3 3/4 = x
15/4 = x
So, Cross multiply
=> 1/4 * x = 15/4 * 2
=> 1/4x = 15/4 * 4/2
=> 1/4x = 60/8
=> 1/4x = 7.5
=> 1/4x * 4 = 7.5 * 4
=> x = 30
So, 15/4 inches on the map equals 30 miles.
The slope of the line is 1/2
Answer:
K = 3/2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
k−9=5(k−3)
k+−9=(5)(k)+(5)(−3)(Distribute)
k+−9=5k+−15
k−9=5k−15
Step 2: Subtract 5k from both sides.
k−9−5k=5k−15−5k
−4k−9=−15
Step 3: Add 9 to both sides.
−4k−9+9=−15+9
−4k=−6
Step 4: Divide both sides by -4.
-4k/-4 = -6/-4
K = 3/2