When added, these two angles are supplementary, meaning that their sum is 180. This means that we can do the following to find x, and eventually DBC:
3x+67+4x+50=180
Simplifies to:
7x+117=180
Then by the Subtraction Prop. of Equality:
7x=63
Then divide by 7 on both sides to get that x=9.
We then substitute 9 into angle DBC.
4(9)+50
=36+50
DBC=86
:)
Answer:
See Below
Step-by-step explanation:
#17. You just have to plot the points, this should be super easy. Go to the left 6 (because it is negative) then up four. This is M. Then go right 5 and up 4 and plot A.
#18. Point T is a reflection of A over the X-axis. This is quite simple as well. All you need to do it make your Y coordinate negative? Why Y? You'll see. You need to essentially "fold" the graph at the X line, so your Y value goes from up top at 4 to below the X axis as we're reflecting over the X line. I hope that makes sense. T should be at 5,-4
#19 This is the same process as 18, Over the X coordinate. Make Y negative and plot it. It should be H= -6,-4
#20 You can get this from the answers from #18 and #19.
#21. The formula is Base*2+Height*2, or Base+Base+Height+Height. You want the distance around. I'll have you figure this out, but if you get comment and I'll check back. How many steps do you go up from T to A? How about over from H to T 9 or (M to A)? Once you find how many units your base and height are, use the formula for perimeter to find the answer. Hope this helps! :)
Carla is correct because they will not all be exactly the same unless they choose to make them all be the same. Hope I could help! :D
Answer:
40/3 pi
Step-by-step explanation:
Volume of a cone = 1/3 *pi*h*r^2 , where h = height, and r = radius.
diameter = 2 radius, so radius = 8/2 = 4
The height = 10, so plug these values into the equation:
1/3 * pi * 10 * 4 =
40/3 pi
Answer:
3
Step-by-step explanation:
Ascending order:
4 ,4 , 4 ,4 ,5, 6 ,7 , 7 ,7
9 data: split in
4 ,4 , 4 ,4 | 5 | 6 ,7 , 7 ,7
4 ,4 | 4 ,4 | 5 | 6 ,7 | 7 ,7
(7+7)/2-(4+4)/2
=7-4
=3
