The additional information which would be sufficient to conclude that LMNO is a parallelogram is; ML ∥ NO, LO ≅ MN, and ML ≅ LO.
<h3>What information renders LMNO a parallelogram?</h3>
The condition for a quadrilateral to be a parallelogram is that; the opposite pairs must be parallel and consequently opposite pairs are congruent as they have equal length measures.
On this note, it can be concluded that the additional information which would be sufficient are; ML ∥ NO, LO ≅ MN, and ML ≅ LO.
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Answer:
The marked price of an article is Rs. x, and selling price is Rs. y
Price difference = Rs. (x−y)
Now, on Rs. x, there is a discount of Rs. (x−y)
Thus, on Rs. 100, there will be a discount of Rs.
x
(x−y)
×100%.
The correct answer is B) y + 9 = 2(x - 1)
In order to find this, simply take the point and the slope and plug into the base form of point-slope form.
y - y1 = m(x - x1)
Use the slope for m and the point for (x1, y1)
y + 9 = 2(x - 1)
y = 8
x = 575
We want to solve for b in the slope-intercept form y = mx + b.
To complete this problem, we need the value of m, the slope. If you know m, then just plug into y = mx + b this way:
8 = 575m + b
Answer:
(2, 5 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 19 → (1)
6x + 2y = 22 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 6x - 9y = - 57 → (3)
Add (2) and (3) term by term to eliminate x
0 - 7y = - 35
- 7y = - 35 ( divide both sides by - 7 )
y = 5
Substitute y = 5 into either of the 2 equations and solve for x
Substituting into (1)
2x + 3(5) = 19
2x + 15 = 19 ( subtract 15 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
solution is (2, 5 )
