Wolfgang, who is age 33, records agi of $125,000. he incurs the following itemized deductions for 2018: medical expenses [$15,000 – (7.5% x $125,000)] $5,625 state income taxes 4,200 charitable contributions 5,000 home mortgage interest on his personal residence 6,000 $20,825 a. calculate wolfgang's itemized deductions for amt purposes. if an amount is zero, enter "0". medical expenses $ state income taxes charitable contributions home mortgage interest on his personal residence total $ b. what is the total amount of his amt adjustments from these items? there is a adjustment of $ .

There is a positive adjustment of $5,200

Explanation:

Medical expenses

$2,500

State income taxes

$0

Charitable contributions

$5,000

Qualified housing interest

$6,000

Casualty loss

$1,800

Miscellaneous itemized deductions

$0

Total

$15,300

There is a positive adjustment of $5,200

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

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explanation: