In response to rapidly rising property taxes, California voters approved a statewide ballot initiative, Proposition 13, which froze property taxes regardless of the appraised value of the property. The state was to reassess the value of the property and could increase taxes only when the ownership of property was transferred. The property was exempt from this reassessment if the exchange of ownership was made between persons over the age of fifty-five or between parents and children. Over time, this system created dramatic differences in the taxes paid by people owning similar property. Long-term owners paid lower taxes; new owners paid higher taxes. Stephanie Nordlinger bought a house in Los Angeles County. Nordlinger then sued the county, claiming that the tax system was unconstitutional under the equal protection clause because it allowed the government to treat similarly situated individuals differently. In finding that the law did not violate the equal protection clause, the court most likely applied which of the following standards?
a. Strict scrutiny
b. The rational bass test
c. intermediate scrutiny
d. A due process test

b. The Rational Basis test

Explanation:

The Rational Basis test allows for a court of law to scrutinize a Government law or regulation to determine if it violates the principles of the Equal Protection clause which holds that people in a jurisdiction are entitled to equal protection under the laws of the jurisdiction.

The Rational Basis clause is usually applied to economic and business laws Instituted by a government and for this reason and the previously mentioned must be the standard that the court applied in finding out if Nordlinger was in the right.

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.

the answer is account d