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:
The length is 600 ft
Step-by-step explanation:
We can use the Pythagorean theorem since we know the diagonal which is the hypotenuse and the width
a^2 + b^2 = c^2
450 ^2 + b^2 = 750^2
b^2 = 750^2 - 450^2
b^2 =562500-202500
b^2 =360000
Taking the square root of each side
sqrt(b^2) = sqrt(360000)
b =600
Answer:
1/40
Step-by-step explanation:
You have to find the amount of distance they traveled since the start of the journey. 3/5 + 3/8 is 39/40. How did we get that, you may ask?
We need to find a number that both 5 and 8 have to make. That can be 40. But how we made 5 and 8 40, we need to do the same to the top numbers. So 39/40 when we add them up. Finally, we need to substract that from the whole, and this gets you 1/40. Hope this helps.
Have a wonderful day, my friend.
Wrong because she has 6 quarts which equal a gallon and a half of gallon so line f is bigger
Answer:
Step-by-step explanation:
600,000,000
