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stealth61 [152]
2 years ago
9

What information is needed in order to apply the hypotenuse-leg (HL) theorem

Mathematics
1 answer:
Lorico [155]2 years ago
6 0

Answer:

This theorem states that 'if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent. ' This is kind of like the SAS, or side-angle-side postulate. But SAS requires you to know two sides and the included angle.

Step-by-step explanation:

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Pls helppppp 25 pt and brainiest for whoever answers it right.
defon
<h3><u>Given</u><u>:</u><u>-</u></h3>

  • Perimeter of parallelogram = 66 ft

  • One side,a = 3x + 1

  • Other side,b = 2x - 3

<h3><u>To</u><u> </u><u>find</u><u> </u><u>out</u><u>:</u><u>-</u></h3>

Find the longest side of a parallelogram.

<h3><u>Formula</u><u> </u><u>used</u><u>:</u><u>-</u></h3>

Perimeter of parallelogram = 2 ( a + b )

<h3><u>Solution:-</u><u> </u></h3>

We know that,

Perimeter of parallelogram = 2 ( a + b )

★ Substituting the values in the above formula,we get:

⇒ 66 = 2 ( 3x + 1 + 2x - 3 )

⇒ 66 = 2 ( 5x - 2 )

⇒ 66/2 = 5x - 2

⇒ 33 = 5x - 2

⇒ 5x - 2 = 33

⇒ 5x = 33 + 2

⇒ 5x = 35

⇒ x = 35/5

⇒ x = 7 ft

Now,

One side,a = 3x + 1

★ Putting the value of x

⇒ 3 × 7 + 1

⇒ 21 + 1

⇒ 22 ft

Other side,b = 2x - 3

★ Putting the value of x

⇒ 2 × 7 - 3

⇒ 14 - 3

⇒ 11 ft

Hence,the longest Side of given parallelogram is 22 ft ( 3x + 1 ) .

7 0
3 years ago
There are 4 consecutive integers that sum to 394. What is the least of these integers?​
Ostrovityanka [42]

Answer:97

Step-by-step explanation:

the average of the four integers is 394/4 = 98.5. So the four consecutive integers with a sum of 394 are the two integers closest to 98.5 and on each side of 98.5: 97, 98, 99, and 100.

3 0
3 years ago
Read 2 more answers
What is five multiplied by six hundred ten
Vlad [161]
It's three thousand and fifty
3 0
3 years ago
A white tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute.
bogdanovich [222]

Answer:

the Bision is 10 miles / hour faster if he could keep it up

Step-by-step explanation:

There are 60 minutes in an hour.

Therefore the bison can run [3520 feet / min] * [60 min ] =211288 feet in an hour.

Now you have to convert 212200 to miles. Do this by dividing by 5280

212200/5280 = 40 miles.

Kind of hard to believe isn't it. 40 miles is a long way when you are running it.

The bison is faster by 10 miles / hour.

This can be done all in 1 step if you know how to do dimensional analysis

3520 feet / minute * [ 60 min/ hour ] * [ 1 mile / 5280 feet] = 40 miles

5 0
3 years ago
2x + 4<br> 4x - 88<br> x = [?]
sladkih [1.3K]

Answer: x = 46

Step-by-step explanation:

**Disclaimer** I am not quite sure of your question, but I am assuming there is an equal sign in between the two expressions. If it was, then you can refer to my answers. If it was not, then you may clarify your question and I will redo it for you.

Given

2x + 4 = 4x - 88

Add 88 on both sides

2x + 4 + 88 = 4x - 88 + 88

2x + 92 = 4x

Subtract 2x on both sides

2x + 92 - 2x = 4x - 2x

92 = 2x

Divide 2 on both sides

92 / 2 = 2x / 2

x = 46

Hope this helps!! :)

Please let me know if you have any questions

3 0
2 years ago
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