The line VS is middle line of that trapezoid, so you know that it is
VS= (WR+UT)/2
so we will get that it is:
<span>40= (x^2+2 +2x^2+3)/2
x = 5
Therefore,
x^2 + 2
5^2 + 2
25 +2
27 <----- OPTION 2
Hope this answers the question.</span>
Let there be x quarts of the 20% salt solution, and (25 - x) quarts of the 80% salt solution.
Then the total amount of salt in the 20% portion would be 0.2x, while that from the 80% portion would be (0.8)(25 - x). This would have to total up to (0.44)(25) in the final solution, so the equation is:
0.2x + 0.8(25 - x) = (0.44)(25)
-0.6x + 20 = 11
x = 15 quarts of the 20% salt solution
25 - x = 10 quarts of the 80% salt solution
Answer: this is hard I hate math sorry
Step-by-step explanation:
:(
An angle bisector divides an angle into two equal halves.
The measure of angle
is 70 degrees
The complete question is an illustrates the concept of angle bisector;
Where:
, and line PC bisects 
Because line PC bisects
, then it means that the measure of RPD is twice the measure of CPD:
So, we have:

Substitute 

Divide both sides by 2

Apply symmetric property of equality:

Hence, the measure of angle
is 70 degrees
Read more about angle bisectors at:
brainly.com/question/12896755
Answer:
x = 2 and y = 3
Step-by-step explanation:
We have
x+2y = 8 -----equation (i)
2x-y = 1 -----equation (ii)
Now,
x+2y = 8
or, x = 8-2y ------equation (iii)
Again,
2x-y = 1
or, 2x = 1+y
or, 2x-1 = y
Putting the value of 'x' from equation (iii)
or, 2(8-2y)-1 = y
or, 16-4y-1 = y
or, 16-1 = y+4y
or, 15 = 5y
or, y = 15/5
or, y = 3
Putting the value of 'y' in equation (iii)
x = 8-2y
or, x = 8-(2×3)
or, x = 8-6
or, x = 2
Therefore, x = 2 and y = 3.