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Leviafan [203]
3 years ago
9

ABCD is a parallelogram. Which statements are true?

Mathematics
1 answer:
jekas [21]3 years ago
5 0

Answer:

<u>Final Answer: Statements 1, 2 and 4 are correct.</u>

Step-by-step explanation:

Finding value of y:

2y + 3 = 15 => 2y = 12 => y = 6;

Finding value of x:

6x + 5 = 77 => 6x = 72 => x = 12;

Statement Number 1:

y² > 2x ? => 6² > 2 * 12 ? => 36 > 24 ?

Yes, 36 is bigger than 24, therefore statement one is correct.

Statement 2:

x = 2y ? => 12 = 2 * 6? => 12 = 12?

Yes, 12 is equal to 12. Statement 2 is correct.

Statement 3:

x + 2 = y + 10 ? => 12 + 2 = 6 + 10? => 14 = 16?

No, 14 is not equal to 16. Statement 3 is incorrect.

Statement 4:

y + 4 > x - 4 ? => 6 + 4 > 12 - 4 ? => 10 > 8 ?

Yes, 10 is bigger than 8. Statement 4 is correct.

<em>If this helped you please rate </em>

<u>Final Answer: Statements 1, 2 and 4 are correct.</u>

<u />

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How does the volume of a cylinder change if the radius is quadrupled and the height is reduced to a third of its original size?
KIM [24]

Answer:

the answer is  1/3 pie r2h

Step-by-step explanation:

The volume of a cylinder is given by πr²h where, r is the radius of the cylinder and h is the height of the cylinder.

Also r=d/2 , where d is the diameter of the cylinder.

Therefore if the diameter is halved, the radius also gets halved ,i.e., it becomes r/2. Therefore the new volume = π(r/2)²h

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3 years ago
What is the minimum number of the data set shown on the box-and-whisker plot?
Dmitriy789 [7]
Hello there, and thank you for posting your question here on brainly.

Short answer: C. 9

Why?

Box and whisker plots are confusing, the line in the middle is the median, but we don't need to do that now. The dots on the lines outside of the box show the largest and the shortest number. The plotted point on the way left is your answer, the line plotted is 9.

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3 0
4 years ago
Write two number so that the value of the digit 9 in the second number is 10 times the value of digit 9 in the first number ?
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2 years ago
Thank you for you help
Harrizon [31]

the first simple interest will be $1.73 more than the second one.

<h3>Which is the difference between the two interests?</h3>

The loan is of $575, and there are two options:

7 years at 4.5% or 8 years at 3.9%

Remember that the simple interest formula is:

SI = (P*R*T)/100

Where:

P = principal value.

R = rate (this is the percentage per year)

T = time, in years.

Then for the first option. the interest will be:

SI = ($575*4.5*7)/100 = $181.13

For the second option we will have the interest:

SI'  =( $575*3.9*8)/100 = $179.4

The difference is:

$181.13 - $179.4 = $1.73

This means that the first simple interest will be $1.73 more than the second one.

If you want to learn more about simple interests:

brainly.com/question/20690803

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