Answer:
1/6
Step-by-step explanation:
6 is 61
5 and 7 are 119 (180 - 61)
4 and 2 are 61
1 and 3 are 119
The answer to all of them is yes.
6) The lengths of AB and CD using the distance formula. (because congruent segments have equal length)
7) The slopes of AB and CD are equal using the slope formula. (because parallel segments have equal slopesL
8) The slopes of AB and CD are negative reciprocals using the slope formula. (because perpendicular lines have slopes that are negative reciprocals)
9) The two segments that CD is split into by AB have equal length using the distance formula. (because a segment bisector splits a segment into two congruent segments, and congruent segments have equal length)
10) Angles CAB and DAB have the same measure using the angle between two lines formula. (Because an angle bisector splits an angle into two congruent angles, and congruent angles have equal measure)
11) Angles A and B have the same measure using the angle between two lines formula. (Because an angle bisector splits an angle into two congruent angles, and congruent angles have equal measure)
12) The lines that form angle A have slopes that are negative reciprocals using the slope formula. (because perpendicular lines have slopes that are negative reciprocals, and perpendicular lines form right angles)
13) The lengths of AB and AC combined equal the length of AC using the distance formula.
14) Two sides of triangle ABC have equal length using the distance formula.
15) All four sides of ABCD have the same length using the distance formula.
16) Letting AB and CD meet at E, the distance formula says AE=BE and CE=DE.
Answer:
7c-2
Step-by-step explanation:
7 times a number c tells us that we want to multiply c by seven. 2 less than tells us that we want to subtract 2 from 7c.
We can solve this by writing down all of the variables we know. We will call the distance traveled on Saturday, x. The distance traveled on Sunday will be y.
x = distance traveled saturday
y = distance traveled sunday
We are told that on sunday he rode 3 miles more than 2/3 the distance on saturday. We can write a new formula.
y = (2/3)x + 3
We also not the total distance travelled, x + y = 43, now we solve for x.
x + y = 43
x + (2/3)x + 3 = 43
5/3x = 40
x = 24 miles
y = (2/3)(24)+3
y = 19 miles
Therefore, Mario biked 24 miles on Saturday and 19 miles on Sunday which gives us the total of 43 miles for the whole weekend.
