Hey there!!
Distance formula :

Coordinates given :
( 0,1 ) and ( 2,-3 )
( y2 = -3 ; y1 = 1 ) ( x2 = 2 ; x1 = 0 )
Plugging in the values :
... 
... 
... 
... 
...
×
... 2
units is the distance.
Hope my answer helps!!
The intersection of two sets is the set composed by the elements that the two sets have in common.
So, we have

In this particular case, since Y is a subset of X, we have

In fact, all elements of Y are elements of X as well, so in particular they are common elements.
Not easy to graph but
multily first equaiton by -2 remember to flip sign
-2x+4y>-6
add to other equaiton
2x-2x+y+4y>-6+8
5y>2
divide by 5
y>2/5
subtitute
2x+2/5>8
subtract 2/5 from both sdies
2x>7 3/5
divid eby 2
x>38/10=19/5=3 4/5
x>3 4/5
y>2/5
just shade the area in that zone, not including point (0,0)

Let's solve for value of values of x and y ~
According to Angle sum property of triangles :




Now, solve for y ~




Now, by the results we got, we can conclude that :
The two triangles are not similar because 70 + 58 + x = 180 means x = 52° and 70 + 49 + y=180 means y = 61°
Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)