Abus travels through the city and stops every mile. the first stop on the route is the 8th avenue coffee shop, which is located 15 blocks east and 22 blocks north of the central station. the last stop on the route is the airport, which is located 25 blocks west and 36 blocks south of the central station. a student calculated the middle stop along the bus route to be located 20 blocks east and 29 blocks north of the central station. evaluate the student’s answer.

Student calculation is incorrect

Step-by-step explanation :

Given the First stop is the 8th Avenue Coffee Shop, which is located 15 Blocks east and 22 blocks north of the central station

and the last stop on the route is 25 blocks west and 36 blocks south of the central station .

Lets take the First stop co-ordinates be (15,22)

and last stop co-ordinates (-25,-30)

So there mid-point is

Therefore middle stop is 5 blocks west and 4 blocks South

Thus calculated the middle stop incorrectly.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights