Hi there!
Since the triangle is equilateral, all of its sides are congruent. This means that to solve, we can set the two given equations equal to each other.
2(x - 8) = 1/2x + 8
2x - 16 = 1/2x + 8
1.5x - 16 = 8
1.5x = 24
x = 16
Now that we know what x is, we can plug that in for x in the equation for ZY.
2(16 - 8) = ZY
ZY = 2(8)
ZY = 16 units
And here is the work to show that XZ is also 16.
1/2(16) + 8 = XZ
XZ = 8 + 8
XZ = 16
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
44
Step-by-step explanation:
All the points touch with -2,-1,1,2 and 12
Answer:
Guo Qi requires 75 days to watch videos on Khan Academy.
Step-by-step explanation:
We are given the following in the question:
Number of videos watched by Guo Qi each day = 15
Average length of each video = 8 minutes
Total minutes of video = 9000 minutes
Total number of videos to be watched =
Guo Qi needs to watch 1125 videos.
Number of days required =
Guo Qi requires 75 days to watch videos on Khan Academy.
Alrighty, let's think of it like this: You are trying to fill a box with a bunch of sports balls. You have tiny little golf balls, and you have giant bowling balls. You need to fill this same box all the way up.
If you fill it with the tiny golf balls, you are going to need a <em>whole lot of them!</em>
If you are putting in bowling balls, only a few of them will fit, because they are so much bigger.
When it comes to your fraction, the box is the the number 8/10. That number will not change because we are not changing the size of the box.
We are just changing what we are filling it with. Manny, can fit 8 parts, or in this case balls, into the box.
It says Ana uses fewer parts, so she cannot fit as many in as Manny.
This means that Manny would have the golf balls, since he can fit more in than Ana, who must have the bowling balls.
So which is bigger? A bowling ball or a golf ball?
A bowling ball, which is what Ana has. So <u><em>Ana's part will be bigger</em></u> in size.
