An isosceles trapezoid is a quadrilateral with two congruent legs and a pair of parallel bases. Prove the base angles of an isos
celes trapezoid are congruent. Be sure to create and name appropriate geometric figures.
1 answer:
Check the picture below.
now, we know that the slanted legs are congruent, since it's an isosceles trapezoid, we also know that the bases are the parallel sides, so, the "altitude" or distance from those bases are the same length, for each of those triangles in the picture.
now, the bases are parallel, that means the altitude segment is perpendicular to the base, the longest side at the bottom, so, we end up with a right-triangle that has a Hypotenuse and a Leg, equal to the other triangle's.
thus, by the HL theorem for right triangles, both of those triangles are congruent, and if the triangles are congruent, all their sides are also, including the ones on the base.
now, we know that the slanted legs are congruent, since it's an isosceles trapezoid, we also know that the bases are the parallel sides, so, the "altitude" or distance from those bases are the same length, for each of those triangles in the picture.
now, the bases are parallel, that means the altitude segment is perpendicular to the base, the longest side at the bottom, so, we end up with a right-triangle that has a Hypotenuse and a Leg, equal to the other triangle's.
thus, by the HL theorem for right triangles, both of those triangles are congruent, and if the triangles are congruent, all their sides are also, including the ones on the base.
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well we know that we have 80mL and we also know that those 80mL will represent the "solute" or the 40% of the Tennessee whiskey total which we can say is 100%, so if 80 is the 40%, how much will it be for the 100% in mL?
Answer: a) 236,000.
b) 2021
Step-by-step explanation:
Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by (1)
where t = 0 corresponds to 1980.
Then , for 2009
t= 2009-1980=29
a. ⇒The population of Phoenix in 2009 =
Hence, the population of Orlando in 2009 was about 236,000.
b) Substitute p= 300 in (1) , we get
(Divide both sides by 130)
Taking Natural log on both sides,
Hence, The year Orlando will have a population of 300,000 =1980+41 =2021