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Leni [432]
3 years ago
11

If z is a positive integer, does 4+3(2z-5) represent a number that is greater than, less than, or equal to 2(3z-4)?

Mathematics
1 answer:
Viefleur [7K]3 years ago
5 0

Let us plug in 1 for z. Now we can solve both expressions. 4+3(2x1-5) and 2(3x1-4) and we get that the first expression is equal to -5, and the second expression is equal to -2. So the expression 4+3(2z-5) represents a number that is less than 2(3z-4).

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Describe the possible side lengths of the 3rd side of the triangle given the lengths of the 2 other sides?
Sindrei [870]
Heya !

Using a theoram about triangles ,

Given a triangle ∆ABC, the sum of the lengths of any two sides of the triangle is greater than the length of the third side ,

Also , the length of third side always greater than absolute difference of the other two sides ,

Let the third side be x ,

So , x < 9 + 8 and x > 9 - 8
x < 17 and x > 1

Hence , x ∈ [ 2 , 17 ] inch.

Above case is true for any triangle , be it scalene , Isosceles , Right-angled ...

As , for Isosceles , the third side can be 8 or 9 inches ,
For scalene , all values in the above range satusfies ,

For right angled triangle , we have 2 cases ,

Case 1 : Third side is the hypotenuse
Then , x = √(9²+8²) = √145 = 12.0415 inch.

Case 2 : Third side is not the hypotenuse
Then , x = √(9²-8²) = √17 = 4.1231 inch.

Hope it helps you ! :)
8 0
3 years ago
Read 2 more answers
Avery bought 6.5 pounds of produce. If the produce was priced at $1.88 per pound, how much change did Avery receive if she paid
BARSIC [14]

Answer:

7.78

Step-by-step explanation:

6.5 x 1.88 = 12.22

20.00 - 12.22 = 7.78

6 0
3 years ago
HELP will give brainliest if all correct
ladessa [460]

1. Definition of Parallelogram

2. Angle 2 plus Angle 3 is 180=Def of Supple

3.Angle Congruence Postulate

4. Angle 1 and Angle 3 equal to 180

5 0
3 years ago
HELP ASAP WILL MARK BRAINLIEST<br><br> Which equation is true?
sesenic [268]

Answer:

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Step-by-step explanation:

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2 years ago
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boyakko [2]

Answer:

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Step-by-step explanation:

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-484      -484

b²=√ 605

b² = 24.5967

b²=24.6

8 0
3 years ago
Read 2 more answers
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