jboy314

Think of this as a pythagorean theorem problem where on a right triangle where one leg is the distance between the x coordinates, another is the distance between the y coordinates, and the total distance is the hypotenuse.

(-6-(-1))^2+(-1-(-7))^2 =d^2

5^2 +6^2=d^2

25+36=d^2

d=sqrt(61)=7.8

13.6363.....

2.  some things are hard to teach.

This does not seems like a question. 

It will be very useful if you draw your own picture for this.  Start by drawing an arbitrary parallelogram.  the letters ABCD must label the vertices in order either clockwise or counter clockwise.  It does not matter which is which, but this essentially guarantees that A is opposite C and B is opposite D.  Once you have this labeled you'll need segment DB in your picture so that you have angle DBC to label.  Now label the angles you know.  You know angle A=75 and C is opposite A.  In parallelograms opposite angels are congruent so C=75 as well.  Now we know two angles of that triangle because DBC is also in that triangle.  We know triangles Sum to 180 so CDB=180-75-60=45

Angle ADB is alternate interior to DBC they are congruent, therefore ADB=60

Yes, it is.

I would write out the entire decimal approximation but I would be here an infinitely long time so, for today, lets call it 3.14159, that should be enough digits to get you started

Add three to both sides

2sqrt(x+2)=10

Dividee by 2

sqrt(x+2)=5

Square both sides

x+2=25

Subtract 2

x=23

One percent is just a decimal slide of two to the left.  Move your decimal place and you now have $530

One piece at a time here.  4(3)=12

12/6=2

2/2=1 

Just do one piece at a time going from left to right like this.