In quadrilateral $abcd$, we have $ab=3,$ $bc=6,$ $cd=4,$ and $da=4$. if the length of diagonal $ac$ is an integer, what are all the possible values for $ac$? explain your answer in complete sentences. hint(s): draw a picture! apply the triangle inequality. there is more than one triangle to think about.

AC ∈ {4, 5, 6, 7}

When two sides of a triangle are specified, the allowable values for the length of the third side are between the sum and difference of the given sides.

In ∆ACD, sides DA and CD are both given as length 4. Thus the possible range of values for side AC is 0 – 8. The extremes of this range result in ∆ACD having zero area, so we assume they are not of interest.

In ∆ACB, sides AB and BC are given as having lengths 3 and 6. Thus the possible range of values for side AC is 3 – 9. The extremes of this range result in ∆ACB having zero area, so we assume they are not of interest.

The integers that are in both ranges and that give triangles with non-zero area are ...

... AC ∈ {4, 5, 6, 7}

you. okay? !

explanation: i'buhyvdtr6s4w6

answer: the revolutionary war, also known as the american war of independence, was a war from 1775 to 1783 between great britain and its thirteen colonies, which declared independence as the united states of america in 1776. people who wanted the colonies to gain independence and form their own country called the united states were referred to as patriots. they didn't feel that the treatment colonists received was fair, and one of the main issues was that they were being taxed without any representation in the british parliament. as dissatisfaction grew, they wanted to be a part of an independent country, which britain would have no ruler.

explanation: