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Delvig [45]
3 years ago
8

Triangle QRS has been translated to create triangle Q'R'S'. RS= R'S' = 10 units, QS= Q'S' = 5 units, and angles Q and Q' are bot

h 90 degrees. Which theorem below would prove the two triangles are congruent?
Mathematics
2 answers:
const2013 [10]3 years ago
5 0
It would be ASA(angle side angle)

if 2 angles and an included side are congruent, then the two triangles are congruent.
meriva3 years ago
3 0

Answer:

HL Theorem

Step-by-step explanation:

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The mississippi river is about 23/25 the length of the missouri river. if the missouri river is 2,540 miles long, how long is th
Hitman42 [59]
If 1 of 25 is 101.6 ( 2540/25)
Then 23 is 2336.8 (23*101.6)
The Mississippi river is 2336.8 miles long
3 0
4 years ago
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The following are the ages (years) of 5 people in a room:
Nata [24]

Answer:

The age of the person who entered the room is 15

Step-by-step explanation:

Ages of 5 people in a room are:

17, 16, 15, 17, 22

A person enters room, the mean age of 6 people is 17.

We need to find the age of person who entered the room.

We know that: Mean=\frac{Sum\:of\:all\:data\:values}{Number\:of\:data\:Values}

Now, we have mean of 6 people that is 17

We know the age of 5 people while age of one person is unknown.

Let age of person which is unknown= x

So, we can write:

Sum of all data values = 17+16+ 15+ 17+ 22+x

where x is the age of person who enters the room.

Finding x

Mean=\frac{Sum\:of\:all\:data\:values}{Number\:of\:data\:Values}\\17=\frac{17+16+ 15+ 17+ 22+x}{6}\\17=\frac{87+x}{6}\\17*6=87+x\\102=87+x\\x=102-87\\x=15

So, we get the value of x: x=15

Therefore, the age of the person who entered the room is 15.

5 0
3 years ago
What is list factors of 36​
oksian1 [2.3K]

Answer:

36 ÷ 1 = 36

36 ÷ 2 = 18

36 ÷ 3 = 12

36 ÷ 4 = 9

36 ÷ 6 = 6

36 ÷ 9 = 4

36 ÷ 12 = 3

36 ÷ 18 = 2

36 ÷ 36 = 1

Step-by-step explanation:

The Postive Factors of 36 are therefore all the numbers we used to divide (divisors) above to get an even number. Here is the list of all Postive Factors of 36 in numerical order:

1, 2, 3, 4, 6, 9, 12, 18, and 36.

Factors of 36 include negative numbers. Therefore, all the Positive Factors of 36 can be converted to negative numbers. The list of Negative Factors of 36 are:

-1, -2, -3, -4, -6, -9, -12, -18, and -36.

How many Factors of 36?

When we counted the Factors of 36 that we listed above, we found that 36 has 9 Positive Factors and 9 Negative Factors. Thus, the total number of Factors of 36 is 18.

Factor Pairs of 36

Factor Pairs of 36 are combinations of two factors that when multiplied together equal 36. Here are all the Positive Factor Pairs of 36

1 × 36 = 36

2 × 18 = 36

3 × 12 = 36

4 × 9 = 36

6 × 6 = 36

9 × 4 = 36

12 × 3 = 36

18 × 2 = 36

36 × 1 = 36

Like we said above, Factors of 36 include negative numbers. Minus times minus equals plus, thus you can convert the Positive Factor Pair list above by simply putting a minus in front of every factor to get all the Negative Factor Pairs of 36:

-1 × -36 = 36

-2 × -18 = 36

-3 × -12 = 36

-4 × -9 = 36

-6 × -6 = 36

-9 × -4 = 36

-12 × -3 = 36

-18 × -2 = 36

-36 × -1 = 36

Factor Calculator

Do you need the factors for a particular number? You can submit a number below to find the factors for that number with detailed explanations like we did with Factors of 36 above.

5 0
3 years ago
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Use pictures or words to explain how you can solve 10+6
kotykmax [81]

Answer:

16

Step-by-step explanation:

10        10

+6        +6

___     ___

  6        1 6

8 0
4 years ago
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What is the angle BCE ?<br>​
spayn [35]

Answer:

∠ BCE = 80°

Step-by-step explanation:

∠ BCD = ∠ ABC = 35° ( alternate angles are congruent )

∠ DCE and ∠ CEF are same- side interior angles and supplementary, thus

∠ DCE + ∠ CEF = 180° , that is

∠ DCE + 135° = 180° ( subtract 135° from both sides )

∠ DCE = 45°

Thus

∠ BCE = ∠ BCD + ∠ DCE = 35° + 45° = 80°

6 0
3 years ago
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