Prove that triangle △ABC ≅ △G H I . Explain each step.

Here is my triangles

I proved that △ABC ≅ △DEF because the first sign of equality.

  1. angle ABC = angle DEF
  2. AB = DE
  3. BC = EF

Now my problem is how to prove △ABC ≅ △G H I.

Thanks again!

How to estimate the complexity of sequential algorithm given that we know the complexity of each step?

First case:
I was stumble upon a two step sequential algorithm where the big O complexity of each step is O(N^9).

Second case:
Also if the algorithm have three steps where the complexity of step 1 is O(N^2), the complexity of step 2 is O(N^3) and the complexity of step 3 is O(N^9)

What would be the complexity of the first case and second case ?

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Is black lives matter the first step to white genocide ?

White genocide exists solely in the tortured minds of white men sad that they don’t have as many direct and violent outlets for their biases as their forefathers did.

Your safety isn’t under threat. Your dominance is and that alone feels like death for you.

That’s how insane you whores have always been.

White dominance is far from bring about white people being the majority. Yes, majority demographics tend to be dismissive at best when it comes to minorities but white people have a history of colonization that has touched every continent. Non white Americans are not the only ones to find white rule intolerable

dnd 5e – Can I Misty Step off of the ethereal plane?

It is up to the GM how far apart planes of existence are

The misty step spell allows you to teleport to somewhere you can see; thus, if you are somehow able to see a plane of existence that you are not on, it would appear that you could teleport there. However, the misty step spell states (emphasis mine):

Briefly surrounded by silvery mist, you teleport up to 30 feet to an unoccupied space that you can see.

Whether an entire other plane of existence is 30 feet away or less is something that the GM is going to have to determine.


Here are some other questions about distances between planes:

To quote the highest scoring answer to that last question:

It has been proposed that you might be able to get around this by using a portable hole or some other extraplanar storage see (this Q&A). This might work, except a portable hole is 10 feet deep so removing an item from it would still trigger it.

Also, a DM could argue that the extradimensional space of the hole is an infinite distance away from the current plane. Thus, taking it out or putting it in the hole would break the glyph regardless. So this comes down to a DM decision to make that call.

So it will be up to the GM to determine how far apart two planes really are.


For what it’s worth, lead Rules Designer Jeremy Crawford has said the following in a tweet:

If two people are on different planes of existence, they are infinitely far away from each other. For example, if I’m on the Material Plane and you’re on the Ethereal Plane, we’re not within 30 feet of each other.

Of course, this is just what he happened to think at the time he posted that tweet, who knows if it has changed or even why he thought that ruling made sense in the first place.

design – Generate step by step solutions for math

Which pipeline should I use to build an app that provides step by step solutions for math exercises?

E.g. the user would type in an equation and the app would output the unswer, along with several intermediate steps that a human would perform to reach that unswer (factoring, isolating variables, etc).

There are several apps that provides such service already, including Symbolab, Quickmath, Photomath (mobile only), Wolfram Alpha and Microsoft Math Solver.

In which modules should I break down this project?
Which libraries would suit this task (in python, if possible)?

microservices – Move monolith to Event Streaming in one step or multiple steps?

I have been the sole developer on a project for the past eight years. Right now it’s one big monolith, but at this point it’s really three separate apps, and those really need to be broken down as the apps use some of the same data.

My original plan was to break all the bits into microservices, but after researching the last month I’ve realized that event driven architecture would really benefit this app. It is also unfortunately tightly coupled with the data access since it’s using entity framework.. So I guess my question is should I first implement the data repository pattern to separate the data access from the app, then break it into microservices, then implement the event driven? Or do I just do the whole thing in one step?

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How to get shipping address informatiion in addtional checkout step in magento2?

Hello i have add on e extra step before the Reviews and payment step and i want to display shipping address in my added new step in magento2?

dnd 5e – If I place a Bag of Holding inside another Bag of Holding, can I use Misty Step to get away before the gate to the Astral Plane opens?

I’d very much put this conundrum into the ‘Should bring disaster of one sort or another onto the character’ category.

You mention whether you can cast the spell ‘before’ the effect, depends on whether there’s a somantic component to the spell I suppose, you can’t start to cast the spell, then get your bags ready, then finish the spell, then… but I suppose you could use a foot to drop one into the other…

In terms of game mechanics, obviously the timing of the spell would affect where the character was when one bag went into another (whether the whole bag or just the first thread of it needs to go in the produce the effect), ultimately the destruction/gate effect either happens before or after the spell activates, at a nano-scale of timing so either the character is still where the bags are if they do it by hand, or if they use some kind of gravity/delay mechanism to have one fall into another then sure, they’re wherever they are and the bags are… well, no longer wherever they were when it happens. Same as if they cast the spell and a nearby character puts the bag into the other bag before or after the spell activates – when you get to a sufficient level of time slicing, nothing is simultaneous.

Either way, Misty Step is short range, quite possibly less than the reach/size/spell/psionic range/maw size of something horrific that I’d be pretty sure to decide emerges from the gate to see what all the commotion is.

Opening a random gate to the Astral plane by such shenanigans would invariably be a bad thing in my campaign… it doesn’t mean you can step through it or benefit from it in any way, it’s an Astral gate, it’s not under your control and doesn’t want to be your friend.

And where are all these bags of holding coming from ?? – seems such a waste.

Call me a purist but this kind of thing smacks of trying to exploit wording in texts that the characters themselves don’t have access to – there aren’t game rule books in the D&D universe, just in the real world and in the end, the DM decides how they want to interpret the rules. I’d suggest just fighting the monster and using the 2 bags of holding to carry its loot away.

There’s more pleasure to be had in playing the game than playing the rules so as a DM I discourage this sort of play.