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Lana71 [14]
3 years ago
6

Which pair of triangles can be proven congruent by the HL theorem

Mathematics
2 answers:
Lelu [443]3 years ago
7 0

Answer: Third pair

Step-by-step explanation:

  • The HL theorem says that if the hypotenuse and a leg of one right triangle are equal to the hypotenuse and a leg of another right triangle, then the triangles are said to be congruent.

From the given pictures only third pair of triangles have hypotenuse and one leg are equal.

Then by HL theorem, the triangles in third pair are congruent.

lys-0071 [83]3 years ago
4 0

third one is your answer

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A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so
mamaluj [8]

Answer:

1) Is the pattern an arithmetic sequence?​

Yes it is

2)Identify a and d.​

a = First term = 2

d = Common difference = 2

3) Write the 50th term of the sequence.​

50th term = 100

4) Find the total number of logs in the first 10 rows.​

= 1010 logs

Step-by-step explanation:

Is the pattern an arithmetic sequence?​

Yes it is

2) Identify a and d.​

A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so on,

The formula for arithmetic sequence =

an = a+ (n - 1)d

a = First term

d = Common difference

For the above question:

a = 2

d = Second term - First term

= 4 - 2

d = 2

3) Write the 50th term of the sequence.​

Using the formula for arithmetic sequence

an = a+ (n - 1)d

a = 2

n = 50

d = 2

a50 = 2 + (50 - 1)2

= 2 + (49)2

= 2 + 98

= 100

The 50th term = 100

4)Find the total number of logs in the first 10 rows.​

Sum of first n terms = n/2(a + l)

n = 10

a = first term = 2

We are told that there are 200 logs in the bottom row, hence:

l = last term = 200 logs

Hence,

Sn = 10/2×[ (2 + 200

= 5(202)

= 1010 logs

7 0
3 years ago
What is the measure of AngleSRT?
Fofino [41]

Answer:

Angle SRT is equal to 79 degrees

Step-by-step explanation:

The reason this is so is because for every single triangle all the angles must add up to 180 degrees. So take 180 minus angle T, and then minus angle S and you get 79.

8 0
3 years ago
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Which number is a rational number?
Talja [164]
√49 is a rational number.
8 0
3 years ago
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Can someone please help me.. very quickly .. thank you
Alisiya [41]
X/8 + 12 = 16 
start by subtracting twelve from both sides
x/8 + 12 = 16 
      - 12   -12
You're left with x/8 = 4
Multiply both sides by 8
8× x/8 = 4 ×8
Your answer is x = 32
If you need to simplify, the answer is 2. 


 
3 0
3 years ago
Read 2 more answers
Which statement about this figure is true?
Arisa [49]

Answer: I'm thinking it's reflectional symmetry.

Step-by-step explanation:

3 0
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