Answer:
56
Step-by-step explanation:
Perimeter= 4S
Perimeter= 4(5)
Perimeter= 20
Perimeter 2= 2(L+W)
Perimeter 2= 2(11+7)
Perimeter 2= 22+14
Perimeter 2= 36
Total Perimeter= P1+P2
Total Perimeter= 20+36
Total Perimeter= 56
Answer:
Austin will take 9 hours to paint a room and dale with take 3 hours to paint a room
Step-by-step explanation:
Answer: x = 1, y = -2
Step-by-step explanation:
-9x+2y=-13
x= 13/9 + 2/9y
2x-9y=20
2(13/9+2/9y)-9y=20
<em>Substitute y with -2.</em>
<em />
x= 13/9+2/9(-2)
<em>After solving you'll see that 1 is a possible solution for x.</em>
<em />
Check your answer
-9x+2y=-13
-9x1+2(-2) = -13
2x-9y=20
2x1-9(-2) = 20
-13 = -13
20 = 20
Therefore, x=1 and y=-2
Answers:
Reason 3: Definition of Parallelogram
Reason 4: Alternate Interior Angles Theorem
Reason 5: Reflexive Property of Congruence
Reason 6: ASA Congruence Property
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Explanations:
Explanation for Reason 3: A parallelogram, by definition, has opposite sides that are parallel. It's built into the name more or less. Sides AB and CD are opposite one another in the parallelogram so they are parallel segments
Explanation for Reason 4: Angle ABD is congruent to angle CDB because they are alternate interior angles. They are on the inside of the "train tracks" that are formed by AB and CD. They lay on opposite sides of the transversal BD
Explanation for Reason 5: Any segment is congruent to itself; ie, the same length
Explanation for Reason 6: Using reasons 2,5 and 4, we can use ASA (angle side angle) to prove the two triangles ABD and CDB congruent. Reason 2 is the first "A" in ASA. Reason 5 is the S in ASA. Reason 4 is the other A in ASA. The side is between the two pairs of angles. See the attache image for a visual summary of how ASA is being used.
Answer:
The correct option is 1.
Step-by-step explanation:
Inconsistent system: If the given system has no solutions, then it is an inconsistent system.
Consistent and independent system: If the given system has only one solutions, then it is an consistent and independent system.
Consistent and dependent system: If the given system has many solutions, then it is an consistent and dependent system.
The given equations are
.... (1)
..... (2)
Add both equations.
![x+3y-x+2y=18+7](https://tex.z-dn.net/?f=x%2B3y-x%2B2y%3D18%2B7)
![5y=25](https://tex.z-dn.net/?f=5y%3D25)
![y=5](https://tex.z-dn.net/?f=y%3D5)
Substitute this value in equation (1).
![x+3(5)=18](https://tex.z-dn.net/?f=x%2B3%285%29%3D18)
![x+15=18](https://tex.z-dn.net/?f=x%2B15%3D18)
![x=3](https://tex.z-dn.net/?f=x%3D3)
The system of equations has only one solution, i.e.,(3,5).
Therefore the given system is consistent and independent. Option 1 is correct.