I think its SAS similarity theorem
Okay so we know 2 sides of each triangle and an angle due to the vertical angle theorem.
So the side lengths are different but with some proportioning
12/20 = 6/10
so yes they are similar
and the angle in between the two sides lengths are congruent due to the vertical angle theorem
so 2 sides with an angle sandwiched btw is the SAS theorem
I hope this helped, let me know if you need some clarifying.
The Triangles Are Not Smimilar
Step-by-step explanation: All the side lenghths are wack and there are no angles to tell if it is congrent by angles
180÷90 ok good
angle E, the measure is 135
angle J, the measure is 105
Supplementary angles add up to 180 degrees.
We are to identify an angle that is supplementary to angle M form the given parallel line.
From the fist diagram, angle E and angle F are supplementary to angle M because they form adjacent angles on a straight line with angle M.
If angle m is 45 degrees, then the value of its supplement is 180-45=135
From the second diagram, angle H,angle J and angle P are supplementary to angle M.
If angle M is 75 degrees, the its supplement is 180-75=105
I think it's more of an opinion based topic so it has to be from you. I think. But a way to do it is to think of someone you'd want to trade lives with (a friend, family member, celebrity, etc.) then think of parts of their life and why you'd want to trade places with them and maybe compare some of the stuff to your life.
Example: (This is completely random.) "If I could trade places with someone, it would be Kim Kardashian. I would trade places with Kim Kardashian because she is super pretty. She is one of my idols and I've never been on an actual Yacht but she has and I really wanna experience that like she has. I don't have that much money but she's rich and I would love to have as much money as her. She has great style and I love scrolling through her Instagram looking at all her pictures and outfits. I don't have any siblings but I wish I did like Kim does. Those are some reasons why I'd want to trade place with Kim Kardashian." That wasn't the best example but I hope you get the jist of it. :)
3 feet is equivalent to 1 yard. For example, there are 3 feet on a yardstick.
There are two possible roots. Let's factor the left side to find them
To factor, find two numbers that multiply to -32 and add to -14. These two numbers are -16 and 2
-16 plus 2 = -14
-16 times 2 = -32
So this means,
Now use the zero product property
(x-16)(x+2) = 0
x-16 = 0 or x+2 = 0
x = 16 or x = -2
The two roots are 16 and -2 which go in the two answer boxes
If we plugged in x = 16, into the original equation, we'd be left with 0 = 0. The same can be said about x = -2 as well. This is why these two values are the roots.
Note: "root" is the same as "x-intercept" if the root is a real number.
hope this helps
2. it is A publishing because you proofread before you publish to make sure they're are no errors