Given: abcd trapezoid, bk ⊥ ad , ab=dc ab=8, ak=4 find: m∠a, m∠b

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,

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

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step-by-step explanation:

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