Focus on the top line angles for now.
Those two angles combine to the straight angle ABC, which is 180 degrees.
(angleABY) + (angleYBC) = angle ABC
(x+25)+(2x+50) = 180
(x+2x) + (25+50) = 180
3x+75 = 180
3x = 180-75
3x = 105
x = 105/3
x = 35
We'll use this x value to find that:
- angle YBC = 2x+50 = 2*35+50 = 70+50 = 120 degrees
- angle BEF = 5x-55 = 5*35-55 = 175-55 = 120 degrees
Angles YBC and BEF are corresponding angles (they are both in the northeast corner of their respective four-corner angle configuration). They are both 120 degrees. Since we have congruent corresponding angles, we have effectively proven that AC is parallel to DF. Refer to the converse of the corresponding angles theorem.
The regular version of the "corresponding angles theorem" says that if two lines are parallel, then the corresponding angles are congruent. The converse reverses the logic of the conditional statement. Meaning that if the corresponding angles are congruent, then the lines are parallel.
Answer:
Midpoint is ( Average of x’s, Average of y’s )
1 = (x + 7)/2
2 = x + 7, x = - 5
and - 1 = (y + (-4))/2
so - 2 = y - 4 and y = 2
Pt B = (- 5, 2)
Use this to calculate a 15 percent tip on a $36 bill.
What should I tip on 36 dollars? How much is the tip for $36?
which would be $41.40
What if we split the bill? How to tip? What's the best tip? Use this as a guide for tipping. It can be for anything, such as a restaurant, pizza delivery driver, tour guide, taxi driver, or anything calculating a percentage tip on the total amount.
Answer: b
Step-by-step explanation:
