Answer:
x = 27
Step-by-step explanation:
Length = 6x
Width = 1/3(6x) = 2x
Height = 1/2(6x) = 3x
6x × 2x × 3x = 36
972/36x = 27
x = 27
Answer:
8 and 12
Step-by-step explanation:
Sides on one side of the angle bisector are proportional to those on the other side. In the attached figure, that means
AC/AB = CD/BD = 2/3
The perimeter is the sum of the side lengths, so is ...
25 = AB + BC + AC
25 = AB + 5 + (2/3)AB . . . . . . substituting AC = 2/3·AB. BC = 2+3 = 5.
20 = 5/3·AB
12 = AB
AC = 2/3·12 = 8
_____
<em>Alternate solution</em>
The sum of ratio units is 2+3 = 5, so each one must stand for 25/5 = 5 units of length.
That is, the total of lengths on one side of the angle bisector (AC+CD) is 2·5 = 10 units, and the total of lengths on the other side (AB+BD) is 3·5 = 15 units. Since 2 of the 10 units are in the segment being divided (CD), the other 8 must be in that side of the triangle (AC).
Likewise, 3 of the 15 units are in the segment being divided (BD), so the other 12 units are in that side of the triangle (AB).
The remaining sides of the triangle are AB=12 and AC=8.
Step-by-step explanation:
this is really complicated and tricky.
to create the next number, you have to add the first 2 digits of the previous number, then subtract the 3rd from the 2nd digit, multiply the 3rd and the 4th digit, and finally divide the 4th digit by the 5th.
so,
8+8 = 16
8-5 = 3
5×1 = 5
1/1 = 1
giving 16351 as next number.
the missing number we get then
1+6 = 7
6-3 = 3
3×5 = 15
5/1 = 5
giving 73155 as the next (missing) number.
control :
7+3 = 10
3-1 = 2
1×5 = 5
5/5 = 1
gives us 10251 as next number - correct.
but then it will end
1+0 = 1
0-2 = -2 ???? take the absolute value ?
2×5 = 10
5/1 = 5
Given the information, you can only write an expression and simplify it:
6(3(x+24))
6(3x+72)
SOlution: 18x+432
I hope I helped you with your solution! If you could give me brainliest, I would be very thankful!