PLEASE HELP!!!
2 answers:
Answer:
Option A.
Step-by-step explanation:
Given: QRST is a parallelogram and M is the intersection of diagonals.
We know that opposite sides of a parallelogram are parallel and equal.
In △QMR and △SMT,
(Alternate interior angles)
(Definition of parallelogram)
(Alternate interior angles)
Two corresponding angles and included sides are congruent.
(ASA postulate)
Hence, the correct option is A.
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Answer:
Option E) 8000
Step-by-step explanation:
It is given in the question that the number of pencils and pens in a container A are 150 and 725.
Let the number of pens and pencils in container B are x and y.
As per statement " Ratio of the number of pencils to the number of pens is 2:3"
Equation will be
Or ------(1)
Second statement says "If all pens and pencils of container B are placed in container A then ratio of pencils and pens would be 3:5"
Equation will be
5(x + 150) = 3(y + 725) [By cross multiplication]
5x + 750 = 3y + 2175
5x - 3y = 2175 - 750
5x - 3y = 1425 ------(2)
Now we put
y = 3×1425
y = 4275
Now we put y = 4275 in equation 1
x = 2850
Now (x + y) = 2850 + 4275
= 7125
Now Total number of pen and pencils in container A and container B
= 150 + 725 + 7125
= 8000
Therefore, Option E) is the answer
