An equation is given. 5x+3=2x+9 What value of x makes the equation true?
2 answers:
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Answer:
Applying mid point theorm, △MQR≅△PNS
Step-by-step explanation
As there are all midpoints in the problem, we will try using midpoint theorm.
<em>Mid point theorm states that, when the two midpoints of a triangle are joined, the corresponding side is parallel to third side and is half the length of third side.</em>
As given in the figure, join the points to construct triangle.
Let side MR be x, MQ be y and QR be z.
<em>In triangle ABC, applying mid point theorm, BC = .</em>
<em>Again in triangle BCD applying mid point theorm, PS = .</em>
<em>In triangle ADC, applying mid point theorm, DC = .</em>
<em>Again in triangle BDC applying mid point theorm, NS = .</em>
<em>In triangle ABD, applying mid point theorm, BD = .</em>
<em>Again in triangle BCD applying mid point theorm, NP = .</em>
Thus, corresponding 3 sides are equal and, △MQR≅△PNS