Answer:
Step-by-step explanation:
Given AB with coordinates A(3, -3) and B(1, -1)
Perpendicular bisector passes through midpoint of the segment.
<u>Midpoint of AB has coordinates:</u>
- x = (3 + 1)/2 = 2, y = (-3 - 1)/2 = -2
<u>Slope of AB</u>
- m = (-1 + 3)/(1 - 3) = 2/-2 = -1
<u>Slope of the perpendicular line is:</u>
<u>The equation of the line in point-slope form:</u>
- y - y₁ = m(x - x₁), where m = 1, x₁ = 2, y₁ = -2
- y - (-2) = 1(x - 2) ⇒ y + 2 = x - 2
<u>Converted into slope-intercept form:</u>
Okay, so his remaining money would have been 20.00 if he spent half of it (10.00) on his lunch. If one third of his money was 20.00, we need to add two thirds more to create the whole amount. 20 + 20 + 20 = 60.00.
At first, he had 60.00
Answer:
I think C
Step-by-step explanation:
Answer:
its the third one
Step-by-step explanation:
Answer:
2.55
Step-by-step explanation:
Draw a picture of the triangle formed by points P, A, and B. The angle of the line from P to A is 225°. The angle of the line from P to B is 116°. The angle of the line from B to A is 258°, and the length of the line is 3.91.
The easiest way to solve this is by first finding the angle of the line from B to P. Using interior angles, we can show that this is 180° − 116° = 64°.
Next, we can show that:
∠APB = 225° − 116° = 109°
∠ABP = 360° − (258° + 64°) = 38°
Finally, we can use law of sines to find AP.
AP / sin 38° = 3.91 / sin 109°
AP = 2.55
