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:
9/w=x(your result)
x-v=( your final answer )
Please mark my answer as brainliest
Step-by-step explanation:
to find a coterminal angle, just add or subtract 360°. so you could use -300° or 420°.
Answer:
cost for (not per) 1 sq ft. floor: $84.79
y = total costs
x = sq ft of flooring
y = x4.79 + 80.00
Step-by-step explanation:
i this equation, y = the total cost wile x = square ft. of flooring
to find out the price when we know that 60 sq ft is $287.00 without the instalation fee, all we have to do is divide 287.00 by 60
287 / 60 = 4.79
so we now know how much 1 sq ft. costs, but to implament it into an equation we need to multiply it by the amount of flooring, so we let x be the number of sq ft used
now all we have to do is add the instalation fee, no, we literally add it in the equation at the end, so that it is added after we multiply by sq ft (not before) then after we calculate that, we get the total cost for x sq ft of flooring, or y
hope this answers your question
