Answer:
See the proof.
Step-by-step explanation:
<u>Statement </u><u> </u><u> Reason</u>
1.∠1 and ∠2 are supplementary angles --- Given
2. m∠1 + m∠2 = 180° --- Linear pair, they are supplementary
3. m∠1 and m∠3 are supplementary angles -- m∠1 + m∠3= 180
(Supplementary angles add upto 180 degrees)
4. m∠1 and m∠3 ------ Exterior sides in opposite rays
5. m∠1 + m∠2 = m∠1 + m∠3 ------ Transitive property
6. m∠2 = m∠3 -------------- Subtraction property
7. l || m ------------- If two lines are cut by transversal the alternative interior
angles are the same, then the lines are paralle.
Thank you.
Answer: The correct option is (C) Packages x 3 = Pens
Step-by-step explanation: Given that each package of pens contains 3 pens.
We are to choose the correct mathematical relation between number of pens and number of packages.
Let, n represents the number of pens and N represents the number of packages.
Then, according to the given information, we have

Thus, the correct relation is
Packages x 3 = Pens.
Option (C) is CORRECT.
Answer:
Possible C:
(1 , 1 + 3sqrt(3))
(1 , 1 - 3sqrt(3))
Step-by-step explanation:
AB = 6 units
Midpoint of AB is (1,1)
C would be at x = 1
So, (1,y)
(y-1)² + (1+2)² = 6²
(y-1)² = 36 - 9
(y-1)² = 27
y - 1 = 3sqrt(3)
y - 1 = -3sqrt(3)
y = 1 + 3sqrt(3)
y = 1 - 3sqrt(3)
Answer: y = 3x (3,6)
Step-by-step explanation:
Hello!
Answer:
1. 
*The answer must have A NEGATIVE SIGN ONLY!*
2. 
*The answer must have A POSITIVE SIGN ONLY!*
3. 
*The answer must have a NEGATIVE SIGN ONLY!*
Step-by-step explanation:
1. 9w=-54
First, you divide by 9 both sides of an equation.
9w/9=-54/9
Simplify.
-54/9=-6
<u><em>W=-6 is the final answer.</em></u>
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2. b-12=3
First you add by 12 both sides of an equation.
b-12+12=3+12
Add by the numbers from left/right.
3+12=15
<u><em>b=15 is the final answer.</em></u>
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3. n/4=-11
First you multiply by 4 both sides of an equation.
4n/4=4(-11)
Multiply by the numbers from left/right.
4*-11=-44
<u><em>n=-44 is the final answer.</em></u>
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Hope this helps you!
Have a great day! :)
:D
-Charlie
Thanks!