Answer:
Part 1)

Part 2)


Step-by-step explanation:
we know that
In a parallelogram opposite sides and opposite angles are congruent, and consecutive angles are supplementary
Part 1)
<u>Find the value of x</u>
----> opposite sides are congruent
solve for x
<u>Find the value of m</u>
----> consecutive angles are supplementary
solve for m

Part 2)
<u>Find the value of x</u>
---> opposite sides are congruent
using a graphing tool
see the attached figure N 1
The solutions are

<u>Find the value of m</u>
---> opposite sides are congruent
solve for m
using a graphing tool
see the attached figure N 2
The solutions are

Answer : Option A
Explanation:
we can clearly see that from x+ y=5 we can substitute y = 5-x in y = 9x^2
Option B is clearly incorrect x can not be y -5
Option C is incorrect because y can not be 5 +x
Option D is incorrect because its y = 9x^2 not y^2 =9x^2 so y can not be 3x
if its y^2 = 9x^2 then only implies y = 3x
Answer:
C.
Step-by-step explanation:
Recall that the sum of the (3) interior angles of a triangle <em>must</em> equate to 180.
In other words:

Where x is our unknown angle. So, we need to solve for x.
On the left, add 55 and 20:

Subtract 75 from both sides. The left side cancels:

Therefore, the third angle is 105 degrees.
Our answer is C.
The correct answer is 196 or Option A.
The explanation is just as complicated as the question.
Answer:
x = 350 gallons (amt of 60% solution that must be added)
Step-by-step explanation:
Amt of 60% solution = x gallons ; Amt of active ingredient = 0.6x gallons
Amt of 15% solution = 100 gallons ; Amt of active ingredient = 15 gallons
Amt of 50% solution = 100+x gallons ; Amt of active = 50 + 0.5x gallons
EQUATION:
Active ingredient: 0.60x + 15 = 50 + 0.50x
0.10x = 35
x = 350 gallons (amt of 60% solution that must be added)