Answer:
x = 37.85
Step-by-step explanation:
Can someone solve for x lol
1 answer:
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
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<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:
Step-by-step explanation:
Trapezoid ABCD is isosceles trapezoid, because AB = CD (given). In isosceles trapezoid, angles adjacent to the bases are congruent, then
Since BK ⊥ AD, the triangle ABK is right triangle. In this triangle, AB = 8, AK = 4. Note that the hypotenuse AB is twice the leg AK:
If in the right triangle the hypotenuse is twice the leg, then the angle opposite to this leg is 30°, so,
Since BK ⊥ AD, then BK ⊥ BC and
Thus,
Now,
