The complete flow proof is:
- <em />
<em> ---- Given</em> - <em> </em>
<em> ---- Given</em> - <em />
<em> ----- </em>
<em> and </em>
<em> are supplementary angles</em> - <em />
<em> ----- </em>
<em> and </em>
<em> are same-side interior angles</em> - <em />
<em> ----- Proved</em>
We have:


<u>The proof of </u>
<u> is as follows:</u>
The first statement is:
---- Given
The next statement is:
---- Given
Supplementary angles add up to
.
So, the third statement is:
-----
and
are supplementary angles
Same side of interior angles add up to
.
So, the fourth statement is:
-----
and
are same-side interior angles
Because the angles are supplementary angles and also same-side interior angles, then it means that <em>line a is parallel to line b</em>
So, the last statement is:
----- Proved
Read more about proofs of parallel lines at:
brainly.com/question/18396272
The number of months it would take the bunny farm to triple in size is 5.3 months.
<h3>When would the bunny farm be triple its size?</h3>
The formula that can be used to determine the number of months it would take Mrs. Galicia's bunnies to triple in size is:
Number of years = (In FV / PV) / r
- FV = future population of the bunnies
- PV = present population of the bunnies
- r = rate of growth
- FV / PV = 3
IN(3) / 0.2075 = 5.3 months
To learn more about tripling time, please check: brainly.com/question/21841217
Answer:
A)
– 6x – 2x = 16
-8x = 16
x = 16/-8 = -2
B)
3(3x – 6) = 18
9x - 18 = 18
9x = 18 + 18 = 36
x = 36/9 = 4
C) ASSUMING YOU MADE AN ERROR BY WRITING 0 INSTEAD OF (
5(2x + 3) =-4(-5 – 2x)
10x + 15 = 20 + 8x
10x - 8x = 20 - 15
2x = 5
x = 5/2
12x =
Answer:
Step-by-step explanation:
4x − y = −11
2x + 3y = 5
lets multiply the second equation by -2 and add it to the first:
4x − y = −11
-4x - 6y = -10
------------------
0 - 7y = -21
y = -21/-7
y = 3
now we substitute this result in the first equation to find x:
4x − y = −11
4x - 3 = -11
4x = -8
x = -8/4
x = 2
so the solution is y = 3 and x =2
4x − 9y = −21
−10y = −30
we solve for y
−10y = −30
y = -30/-10
y = 3
and substitute in the first equation:
4x − 9y = −21
4x − 9(3) = −21
4x - 27 = -21
4x = 6
x = 6/4 = 3/2
so the solution is x = 3/2 and y = 3
4x + 3y = 5
2y = −6
we solve for y:
2y = −6
y = -6/2
y = -3
we do substitute in the first equation:
4x + 3y = 5
4x + 3(-3) = 5
4x - 9 = 5
4x = 14
x = 14/4
x = 7/2
so the solution is x = 7/2 and y = -3
7x − 3y = −11
9x = −6
we solve for x:
9x = −6
x = -6/9
x = -2/3
then we substitute in the first equation the result found:
7x − 3y = −11
7(-2/3) − 3y = −11
-14/3 - 3y = -11
we multiply by 3 to eliminate fractions:
-14 - 9y = -33
9y = 19
y = 19/9
so the solution is x = -2/3 and y = 19/9
12x − 3y = −33
14x = −28
we solve for x:
14x = −28
x = -28/14
x = -2
then we substitute in the first equation:
12x − 3y = −33
12(-2) − 3y = −33
-24 - 3y = -33
3y = 9
y = 3
then the solution is x = -2 and y = 3
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