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2 years ago

Can someone solve for x lol

Mathematics

1 answer:

posledela2 years ago

3 0

Answer:

x = 2

Step-by-step explanation:

Assuming the figure is a rhombus, the diagonal divides the figure into two isosceles triangles. That means the marked angles are congruent:

7x² -8 = 6x² -2x

x² +2x -8 = 0 . . . . . . . subtract 6x²-2x

(x +4)(x -2) = 0 . . . . . factor

x = -4 or x = 2 . . . . . values of x that make the factors zero

The only value of x that makes sense in this problem is ...

x = 2

<em>Additional comment</em>

We know the base angles of an isosceles triangle must be less than 90°. As the attached graph shows, the angle measures for x=-4 would both be 104°, an impossible situation for this geometry.

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Answer:

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