3,7 corresponding 2,7 exterior
4,5 & 3,6 interior
The triangle inequality applies.
In order for ACD to be a triangle, the length of AC must lie between CD-DA=0 and CD+DA=8.
In order for ABD to be a triangle, the length of AC must lie between BC-AB=3 and BC+AB=9.
The values common to both these restrictions are numbers between 3 and 8. Assuming we don't want the diagonal to be coincident with any sides, its integer length will be one of ...
{4, 5, 6, 7}
Answer: AD/CD = 2/5
Explanation:
Triangle ABC is similar to triangle DEC on the basis of AA(Angle angle)
Recall, if 2 triangles are similar, it means that the ratio of their corresponding sides are equal. Thus,
AB/DE = BC/EC = AC/DC
From the information given,
AB/DE = 7/5
Thus,
AC/DC = 7/5
AD + CD = AC
(AD + CD)/DC = 7/5
AD/DC + CD/DC = 7/5
AD/DC + 1 = 7/5
AD/DC = 7/5 - 1
AD/DC = 2/5
AD/CD = 2/5
Answer:
The hawk reaches the rabbit at t=4.3 sec
Step-by-step explanation:
Let
h ----> is the height in feet
t ----> is the time in seconds
v ---> the initial velocity in feet pr second
s ----- is the starting height
we have

when the hawk reaches the rabbit the value of h is equal to zero
we have


substitute

Solve the quadratic equation by graphing
The solution is t=4.3 sec
see the attached figure
Answer:
21 Snowmen
Step-by-step explanation:
The perimeter of your yard is 25ft + 28ft + 25ft + 28ft = 106ft
Each snowman is 5ft across, so divide 106ft by 5ft.
106ft / 5ft = 21 with a remainder of 1ft