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1 answer:
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Answer:
k = 5
Step-by-step explanation:
Given
+
= 3 ( multiply through by 3 to clear the fractions )
k + 1 = 6 ( subtract 1 from both sides )
k = 5
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,
