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klasskru [66]
3 years ago
5

What is the midpoint of the segment shown below? A (2-3/2

Mathematics
1 answer:
Nastasia [14]3 years ago
3 0

Answer:

I think the midpoint is 5.

Step-by-step explanation:

You might be interested in
The perimeter of a rhombus is 180 cm and one of its diagonals is 72 cm. Find the length of the other diagonal and area of the rh
rewona [7]

Hi there! :)

<u>Answer:</u>

Length of the second diagonal: 54 cm

Area of the rhombus: 1,944 cm²


Step-by-step explanation:

1) To find the value of the second diagonal, you first need to know some important properties of rhombuses:

Since the perimeter is 180, and by definition a rhombus has four congruent sides (of equal length), each side length of the rhombus is equal to 45.

The diagonals of rhombuses also form four right triangles, with hypotenuses equal to the side length of the rhombus and legs equal to half the lengths of the diagonals. In this case one hypotenuse would be equal to 45 and one leg would be equal to 36 (72 ÷ 2 = 36).

We can therefore use the Pythagorean Theorem to solve for one-half of the unknown diagonal:

c² = a² + b² → Where "c" is the hypotenus & "a" and "b" are the two other sides.

<u>45² = 36² + b²</u> → Where "b" is the half of the unknown diagonal.

We can now solve this equation for "b":

<u>45²</u> = <u>36²</u> + b²

45² = <u>2,025</u>

36² = <u>1,296</u>

2,025 = <u>1,296</u> + b²

Subtract "1,296" from each side of the equation → 2,025 - 1,296 = <u>729</u>

729 = b<u>²</u>

Square root on each side of the equation → √729 = <u>27</u>

<u>27 = b</u>

Since "b" represents half of the unknown diagonal, we need to multiply by 2 to find the full length of the diagonal:

27 × 2 = <u>54 ⇒ Length of the other diagonal.</u>


2) To find the area of the rhombus, you need to multiply the length of the 2 diagonals and divide the answer by 2:

<u>(72 × 54)</u> ÷ 2 = A

Multiply "72" & "54" together → 72 × 54 = <u>3,888</u>

<u>3,888 ÷ 2</u> = A

<u>1,944 = A</u>


There you go! I really hope this helped, if there's anything just let me know! :)

3 0
3 years ago
Can someone give me the answer and how you work this? -5 - (-10) = ?
erastovalidia [21]

Answer:

5

Step-by-step explanation:

-5 - (-10)

Here we have to use sign of multiplication rule.

negative * negative = positive

that is, -(-) = +

We use this rule and simplify.

- (-10) = + 10

Therefore, -5 + 10

When we have different sign of the numbers, we have to subtract from greatest to least number, then put the largest number sign in the answer.

-5 + 10 = + 5

Hence, the answer is 5

Hope this is will help you.

Thank you.

7 0
3 years ago
Selena bought a TV for her bedroom. The original price was $299.99, but she bought it on sale for 30% off. Selena also paid 15%
ycow [4]
I believe $241.50 would be your answer
8 0
3 years ago
It's all explained in the picture.
balu736 [363]

Answer:

Inequality Form: m<7/3

Interval Notation: -∞, 7/3

8 0
3 years ago
A glacier in Alaska moves about 29.99 a day about how much further will a move in a thousand days and it will move in a hundred
Lelu [443]
Try this:  (29.99 units/day)(1000 days) = 29990 units.

Could you possibly include the given units of measurement in this post?

5 0
3 years ago
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