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:Dos triángulos son congruentes si tienen iguales dos de sus lados respectivos y el ángulo comprendido entre ellos y el ángulo opuesto mayor medida que ellos. 4° Dos triángulos son congruentes si tienen dos lados correspondientes y el ángulo opuesto mayor de estos lados congruentes.
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
8 × .75 = 6lbs
she'd need 6lbs so she'd buy two bags of 5lbs
I think it's D. (sorry if i'm wrong)
Your answer should be 12.57
