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.
it's x ≤ 3 :))) I found it out after realizing what you were asking
Answer:
x= 0
y= -3
Step-by-step explanation:
6x-5y=15
substitution...
6(y+3)-5y=15
6y+18-5y=15
y+18=15
-18 -18
y= -3
substitution again...
6x-5(-3)=15
6x+15=15
-15 -15
6x=0
/6 /6
x= 0
Answer:
When raising an expression of that format to any power, after grouping like terms, you'll always find that the odd numbered terms are positive, and the even numbered terms are negative.
For example:
(x - y)² = x² − 2xy + y²
(x - y)³ = x³ − 3x²y + 3xy² − y³
(x - y)⁴ =x⁴ − 4x³y + 6x²y² − 4xy³ + y⁴
etc.
Answer: Oh heaven nah
Step-by-step explanation: Lord have mercy