Solve the following inequality: 5x+3 < 6x+2
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Answer:
Step-by-step explanation:
First you take 3x times 2x since its the first of both equations, which will give you 6x squared.
Then take the outer ones of both problems which is 3x times 3 which is 9x.
Then the inner, -2 times 2x which is -4x
Then the last of both individual problems which is -2 times -3 which is positive 6.
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.
<h3>What is a triangle?</h3>A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
The triangles ΔEST and ΔEFD are similar triangles, therefore, we can write,
Since S and T are midpoints of EF and ED, the lines will be divided into two equal parts. Therefore,
Therefore, we can write it as,
In ΔEST and ΔTDR
∠T ≅ ∠T {Vertical angles}
ET ≅ TD {T is the midpoint of ED}
∠SET ≅ ∠TDR {Alternate interior angles}
Therefore, ΔEST ≅ ΔTDR.
Since the two triangles are equal we can write,
ST ≅ TR
Further, it can be written as,
FD = 2(ST)
FD = ST + ST
FD = ST + TR
FD = SR
Hence, FD≅SR.
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