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:
(4+√142)/(3) or x=(4-√142) /3
Step-by-step explanation:
(4+√142)/(3) or x=4-√142 /3
The constant proportionality is whats left over
Answer:
The equation is y=2x + 2
Step-by-step explanation:
4x+2y=7
2y=-4x+7
y=-2x+7/2
Hence, the gradient =-2
Note that: parallel lines share the same gradient
sub m(gradient)=-2 and the point (1,0) into y=mx+c
0=-2(1)+c
c=2
Therefore, the equation in the form of y=mx+c is y=-2x+2
Answer:
t = 115
s = 60
g(x) = 10/23x - 10
Step-by-step explanation:
find s first since its easy (it goes up by 10's)
then take a pair from the table that corresponds such as 69 for x and 30 for g(x) and turn them into a fraction:
69/30
do the same for t:
t/50
equal 69/30 to t/50 and solve using cross multiplication:
69/30 = t/50 =
30t = 3450
/30 /30
t = 115
honestly had a little hard time finding the equation but basically I simplified the fraction 30/69 to get 10/23 for slope and then I insert a corresponding x and y value into y= mx+b with the slope value to find b.
