Step-by-step explanation:
x=volume of the glass
(1/3)x+63=(5/8)x
63=(5/8)x-(1/3)x
63=(15/24)x-(8/24)x
63=(7/24)x
multiply both sides by 24/7
(24/7)(63)=(24/7)(7/24)x
216=x
216 cm3 is the volume (answer)
1/3 of 216 is 72
72+63=135
135/216=0.625=5/8
Since they are congruent, cpctc,
just set the congruent parts equal to each other.
so 2x-20=30
and
15=3y-9
Yes the trip is worthwhile. If you save $50, but it takes you $10 in gas o get theready & $10 in gas to get back you still have $30 saved.
Answer:
(1.) 50 (2). 112.5
Step-by-step explanation:
multiply the both sides and then divide ( for each one)
Answer:
The line segments AB and CD are perpendicular to each other.
Step-by-step explanation:
Segment AB falls on line 2x − 4y = 8.
Rearranging the equation into slope-intercept form we get, ............. (1)
Therefore, slope of the line segment AB is
Now, the segment CD falls on line 4x + 2y = 8.
Rearranging the equation into slope-intercept form we get, ............. (2)
Therefore, the slope of the line segment CD is, N = - 2
So, M × N =
Hence, we can conclude that the line segments AB and CD are perpendicular to each other