Answer:
The slope formula can be used to prove that a triangle has
A. Congruent Sides
<u>B. A right angle
</u>
C. Parallel sides
D.Congruent angles
Step-by-step explanation:
The formula for finding the slope of a line on a coordinate plane is (y2 - y1) / (x2 - x1), where (x2, y2) and (x1, y1) represent two distinct points on the line. This is also known as "change in y over change in x" or "rise over run."
Try this:
1) note that weight of pure antifreeze before mixing and after mixing is the same. So, if 'x' is weight of pure antifreeze in 50% solution, it is possible to make up equation before mixing: 0.5x+0.2*90.
2) there are 0.2*90=18 gal. of pure antifreeze in the 20% solution. If 'x' gal. is the weight of pure antifreeze in 50% sol. and 18 gal. is the weight of pure antifreeze in 20% sol., it is possible to make up an equation after mixing: 0.4(x+18).
3) using the both parts: 0.5x+0.2*90=0.4(x+18) ⇒ x=54 gal. of <u>pure</u> weight.
4) to find 50% solution of 54 gal. pure weight just 54:0.5=108 gal.
Answer: 108 gal.
Answer:
The angles are vertical
Step-by-step explanation:
x+42+2x+1=180
put the like terms together i.e 2x+x+42+1=180
you get: 3x+43=180
Take 43 to th other side of 180 i.e 3x=180-43 i.e (180-43=137)
You get 3x=137
Divide both sides by 3
you get x=45.666666666667(Round off to get 45.67)
Substitute the value of x to the angles
x+42(45.67+42=87.67)
2x+1(2(45.67)+1=92.34
Add 87.67+92.34=180
THis shows that the angles are vertical
Answer:
It is a solution
Step-by-step explanation:
8d+6= -8d-186
Add 8d to each side
8d+8d+6= -8d+8d-186
16d +6 = -186
Subtract 6 from each side
16d +6-6 = -186 -6
16d = -192
Divide each side by 16
16d/16 = -192/16
d = -12
Answer:A
Step-by-step explanation:
