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Veronika [31]
3 years ago
8

Find the length of the hypotenuse of a 45°-45°-90° triangle with a leg length of 8 centimeters.

Mathematics
1 answer:
MArishka [77]3 years ago
3 0

Answer:

8\sqrt{2 =\sqrt{128 = 11.31

Step-by-step explanation:

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What theorems can be used to prove the triangles are congruent?<br>SSS<br>ASA<br>AAS<br>HL​
Arada [10]

Answer:

1.) SAS | 2.) HL | 3.) HL | 4.) SSS (Not too sure about this one)

Step-by-step explanation:

3 0
3 years ago
40.6 in numerical form
oksano4ka [1.4K]
What's your question so I could help?
6 0
3 years ago
Please help I don't understand exponents
Mkey [24]

Answer:

1.)  the answer is the fourth one, 1/5^7

2.)  the answer is the fourth one, 1/5^6

3.)  the answer is the fourth one, (2^6)^-5

4.) this is seems to be a duplicate of the first one

Step-by-step explanation:

1.) by 'adding' 4 exponent values on the top it simplifies the top to simply one and 5^7 on the bottom

2.) since this is an exponent of an exponent multiply them, getting 5^-6, then simplify negative exponents.

3.) exponents of exponents are multiplied

4 0
2 years ago
Read 2 more answers
LCM of two numbers is 1134 and HCF is 18. if one of the numbers is 162, find the other. number.<br>​
Brilliant_brown [7]
<h3>Answer:  126</h3>

=====================================================

Work Shown:

Let x and y be the two numbers.

We're given x = 162 and the variable y is unknown.

We're also given LCM = 1134 and HCF = 18

So,

LCM = (x*y)/HCF

1134 = 162*y/18

1134 = (162/18)y

1134 = 9y

9y = 1134

y = 1134/9

y = 126

The other number is 126

---------------------

Notice that

  • 162 = 18*9
  • 126 = 18*7

showing that 18 is the highest common factor (HCF) of the numbers 162 and 126. This partially confirms the answer.

Now let,

  • A = multiples of 162
  • B = multiples of 126

So,

  • A = 162, 324, 486, 648, 810, 972, 1134, 1296, ...
  • B = 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260, ...

We see that 1134 is in each list of multiples and the smallest such common item. So the lowest common multiple (LCM) of 162 and 126 is 1134. This helps fully confirm the answer.

7 0
2 years ago
A board is 2/3 yard long. Jeremy cuts the board into 6 equal pieces. How long is each cut piece?
r-ruslan [8.4K]

Answer:

1/9 yd.

Step-by-step explanation:

2/3 /6= 2/3 /6/1 = 2/3 x 1/6= 2/18=1/9

3 0
2 years ago
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