The correct answer among the choice presented above is option D. The conditional statement for the statement given is "If the sum of the digits of a number is divisible by 3, then the number is divisible by 3". The conclusion here is the statement "<span>The number is divisible by 3</span>".
Answer:
1
Step-by-step explanation:
(3/2) + 2M = (7/2)
(7/2) - (3/2) = 2M
2 = 2M
M = 1
Answer:
79
Step-by-step explanation:
angles add up to 360
360-134-58=158
there are two angles so 158 divide by 2 is 79
Answer:
Step-by-step explanation:
<u>Perpendicular Bisector</u>
The bisector of a segment defined by points (x1,y1) and (x2,y2) must pass by the midpoint of the segment.
The midpoint (xm,ym) is calculated as follows:
The endpoints of the segment are (-3,-8) and (5,-4), thus the midpoint M is:
Midpoint: M(1,-6)
Let's find the slope of the given segment. The slope can be calculated with the formula:
If the bisector is also perpendicular, its slope m2 and the slope of the segment m1 must comply:
Solving for m2:
Once we have the slope -2 and the point through which our line must pass (1,-6), we compute the equation in its point-slope form:
Operating
Rearranging
Answer:
(10, –1)
Step-by-step explanation:
[1]XXXX3y=−12x+2
[2]XXXXy=−x+9
While it is not technically necessary, I find it easier to clear the fractions before actually beginning; so multiplying [1] by 2
[3]XXXX6y=−x+4
Substituting (from [2]) (−x+9) for y in [3]
[4]XXXX6(−x+9)=−x+4
Simplifying
[5]XXXX−6x+54=−x+4
[6]XXXX5x=50
[7]XXXXx=10
Substituting (from [7]) 10 for x in [2]
[8]XXXXy=−10+9=−1
