The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.
<u>Step-by-step explanation</u>:
ABCD is a quadrilateral with their opposite sides are congruent (equal).
The both pairs of opposite sides are given as AB = 3 + x
, DC = 4x
, AD = y + 1
, BC = 2y.
- AB and DC are opposite sides and have same measure of length.
- AD and BC are opposite sides and have same measure of length.
<u>To find the length of AB and DC :</u>
AB = DC
3 + x = 4x
Keep x terms on one side and constant on other side.
3 = 4x - x
3 = 3x
x = 1
Substiute x=1 in AB and DC,
AB = 3+1 = 4
DC = 4(1) = 4
<u>To find the length of AD and BC :</u>
AD = BC
y + 1 = 2y
Keep y terms on one side and constant on other side.
2y-y = 1
y = 1
Substiute y=1 in AD and BC,
AD = 1+1 = 2
BC = 2(1) = 2
Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.
Answer:
![\boxed{\text{[2, 33]}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Ctext%7B%5B2%2C%2033%5D%7D%7D)
Step-by-step explanation:
The range is the spread of the y-values (minimum to maximum distance travelled).
The minimum is 2 mi, and the maximum is 33 mi, so the range is from 2 to 33.
In interval notation, the range is ![\boxed{\textbf{[2, 33]}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Ctextbf%7B%5B2%2C%2033%5D%7D%7D)
Answer:
$2.50 more.
Step-by-step explanation:
Answer:
The value of the line segment 
is 36.
Step-by-step explanation:
The hypotenuse represents the longest side in the right triangle. In this case, FD represents the hypotenuse as it is a multiple of 13. Based on the trigonometric relations described in the statements, we get the following relationships by definition of cosines:
(1)
(2)
If we know that 
and 
, then the length of the line segment is:
The value of the line segment is 36.
