Answer:
Time (secs) => distance (ft)
1 => ⅔
15 => 10
24 => 16
45 => 30
Step-by-step explanation:
Equation to represent this proportional relationship is
, where,
t = time
d = distance
k = constant of proportionality
To complete the table, let's find k given that the turtles swarm 16 ft (d) in 24 secs (t).
Substitute d = 16, t = 24 into the equation.


(division property of equality)
Let's complete the table by substituting the value of k and the other given value of t or d, as the case may be:
For 1 sec, let's find distance (d):


d = ⅔ ft
For 10 ft, let's find the time (t) taken:


Multiply both sides by 3


Divide both sides by 2


t = 15 secs
For 45 secs, let's find distance (d):


d = 30 ft
The area of a square would me multiplying the width times the length and then multiplying by one half would be like splitting the square in half so your answer would be that last one right there. 6*6= area then multiply by 1/2 = half of area Hope this helps! :D
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.
Your answer is 506.44.
multiply 662 x .10 now minus that answer from 662 to get 595.80
now multiply that by .15
now minus that by 595.80
gives you 506.43
Answer:
The correct answer is second option 60°
Step-by-step explanation:
From the figure we can write,
measure of arc AEC = measure of arc AE + measure of CE
measure of arc ACE = measure of AC + measure of CE
measure of arc AEC + measure of arc ACE = 280 + 140 = 420°
measure of arc AE + measure of CE + measure of AC + measure of CE = 420
measure of arc AE + measure of CE + measure of AC = 360°
measure of CE = 420 - 360 = 60°
The correct answer is second option 60°