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Rina8888 [55]
3 years ago
11

Which point is in the solution set of the given system of inequalities?

Mathematics
2 answers:
erik [133]3 years ago
7 0

Answer:

C. (0,3)

Step-by-step explanation:

on edg 2020 :)

Alecsey [184]3 years ago
5 0

Answer:

C

Step-by-step explanation:

To determine which point is a solution substitute the coordinates into both inequalities and check validity

A (2, 0 )

2 + 0 = 2  ← not greater than 2

(4 × 2) + 0 = 8  > - 1

The point (2, 0) is not a solution as it does not satisfy the first inequality

B (0, 2 )

0 + 2 = 2 ← not greater than 2

0 + 2 = 2 > - 1

The point (0, 2) is not a solution as it does not satisfy the first inequality

C (0, 3 )

0 + 3 = 3 > 2

0 + 3 = 3 > - 1

The point (0, 3) satisfies both inequalities and is therefore a solution

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Umnica [9.8K]
Part A you would just distribute your 3 to your X and your 5. After doing that you would get 3x+15+x=4x. Next you would combine like terms, meaning combine your x's together that is on the same side of your equal sign. So you would add 3x and x. When finished with that you would get, 4x+15=4x. You would then subtract your 4x on both sides of your equal sign. You then would get 15=0 which is no solution.

Part B you would distribute your 4 to your 1 and -x. After doing this your equation should then look like 4-4x=5x+8. Next you would try to get your like terms together. You would add 4x on both sides of your equal sign. Your equation should then look like 4=9x+8. Next you would subtract your 8 on both sides of the equal sign because your getting your terms together. Your equation should then look like, -4=9x. This answer would be one solution.

Part C you would combine your like terms, meaning add your 2x and x together to get your equation looking like, 3x+5=5+3x. You can tell just by looking at this equation it's going to be a infinite number of solutions. 

Hope this helps! (:
8 0
4 years ago
The triangles below are similar. Which similarity statements describe the relationship between the two triangles? Check all that
Gekata [30.6K]

<u>Complete Question</u>

In triangle ABC: AC=10 , AB=5., Angle C = 30 degrees.  

In Triangle DEF: ED= 7.5 , DF=15, Angle F =30 degrees , Angle E = 90 degrees.  

Answer:

A, D and E

Step-by-step explanation:

The diagram is drawn and attached below.

  • Triangle ABC is similar to Triangle DEF. (Option E)

Writing it backwards:

  • Triangle CBA is similar to Triangle FED. (Option A)

Also,

  • Triangle BAC is similar to EDF. (Option D).

Therefore, A, D and E are the similarity statements that describe the relationship between the two triangles.

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3 years ago
In the diagram, the measure of angle 8 is 124°, and the measure of angle 2 is 84°.
Darina [25.2K]

Answer:

(A) 56 on ed genuity

Step-by-step explanation:


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4 years ago
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stepan [7]
If you subtract 6 from 33 youll end up with 27 and therefore 27 plus 6 equals 33
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3 years ago
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16. Find the value of y. ​
devlian [24]

y + (2x -12) = 180 (since they are supplementary angles)

(2x-12) = 96 ( since they are alternate exterior angle)

2x = 96 + 12

2x = 108

x = 108/2

x = 54.

y+( 2x-12)=180

y+(2× 54 -12) = 180

y + (108-12) = 180

y + 96 = 180

y= 180-96

y = 84.

8 0
3 years ago
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