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3 years ago

What is the height h of the parallelogram? Not drawn to scale

Mathematics

2 answers:

lions [1.4K]3 years ago

7 0

Answer: A. 32

Step-by-step explanation:

The area of the parallelogram with height 24 and base 36

= 24 × 36

= 864 square unit,

Also, the area of the parallelogram with height h and base 27

= h × 27

= 27 h square unit,

Since, According to the given diagram,

Both area must be equal because they are the area of same parallelogram,

⇒ 27 h = 864

⇒ h = 32 unit

⇒ Option A is correct.

Rus_ich [418]3 years ago

5 0

The answer is B. 40.5

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Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x-y=

Bond [772]

Answer:

The system of linear equations has infinitely many solutions

Step-by-step explanation:

Let's modified the equations and find the answer.

Using the first equation:

$2x-y=5$ we can multiply by 2 in both sides, obtaining:

$2*(2x-y)=2*5$ which can by simplified as:

$4x-2y=10$ which is equal to:

$4x=2y+10$

Considering the second equation:

$=4x+ky=2$

Taking into account that from the first equation we know that: $4x=2y+10$ , we can express the second equation as:

$2y+10+ky=2$ , which can be simplified as:

$(2+k)y=2-10$

$(2+k)y=-8$

$y=-8/(2+k)$

Because (-8) is being divided by (2+k), then (2+k) can't be equal to 0, so:

$2+k=0$ if $k=-2$

This means that k can be any number different than -2, and for each of these solutions, there is a different solution for y, allowing also, different solutions for x.

For example, if k=0 then

$y=-8/(2+0)$ which give us y=-4, and, because:

$4x=2y+10$ if y=-4 then $x=(-8+10)/4=0.5$

Now let's try with k=-1, then:

$y=-8/(2-1)$ which give us y=-8, and, because:

$4x=2y+10$ if y=-8 then $x=(-16+10)/4=-1.5$ .

Then, the system of linear equations has infinitely many solutions

8 0

3 years ago

What is the distance between -7.5 and -15.3 on a number line

timama [110]

Okay. To find the distance apart from each other, subtract 15.3 and 7.5. When you do that, you should get 7.8. -7.5 and -15.3 are 7.8 units away on a number line.

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Vlada [557]

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3 years ago

7. Identify the reason for each step in the solution.

Alik [6]

Answer:

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Step-by-step explanation:

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