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:
7
Step-by-step explanation:
We need to plug in -1 for x. Here's what we get:
multiplying two negative numbers gives us a positive number
= 7
Answer:
Piper traveled 115 miles for 6 hours.
Step-by-step explanation:
We just add the amount of distance that Piper traveled together, so "55+60 = 115 miles" and then we add the amount of time it took to travel that distance. So "3.5 + 2.5 = 6 hours".
Answer:
5, 9/36, -12/16, -23/35
Explanation:
Convert to decimals then rearrange.
