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3 years ago

Let s be the sum of all digits used in writing all numbers from 1 to 1010.find s

1 answer:

6 0

We know, s = n/2 [a + l ]
Here, n = 1010
a = 1
l = 1010

Substitute their values,
s = 1010/2 [1 + 1010]
s = 505 [ 1011]
s = 510555

In short, Your Answer would be 5,10,555

Hope this helps!

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Help me jim! geometry homework

Maksim231197 [3]

Question 1

The angles 52 degrees match up. So if the sides are in proportion, then the triangles are similar.

Notice how 8/12 = 18/27 is a true equation. So the sides are in proportion to one another.

Therefore, the triangles are similar. I used the SAS similarity theorem.

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Question 2

Let's find the missing angle of the triangle on the right. For now, make that missing angle to be x.

Rule: For any triangle, the three angles always add up to 180

x+70+32 = 180

x+102 = 180

x = 180-102

x = 78

The missing angle of the triangle on the left is 78 degrees

Repeat for the other triangle as well

y+78+32 = 180

y+110 = 180

y = 180-110

y = 70

Both triangles have the angles 32, 70, 78 in whatever order you wish.

Since the angles match up like this, the triangles are similar because of the AA Similarity theorem

Technically, we only need 2 pairs of congruent angles at minimum. But having 3 congruent pairs doesn't hurt either.

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Question 3

We have a pair of congruent 54 degree angles shown. There's another pair of angles at the very top that overlap (aka shared angles).

Since we have two pairs of congruent angles, the two triangles are similar.

This time we use the AA Similarity theorem

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Question 4

Let's divide the longest side of the bottom triangle by the longest side of the triangle on top

48/32 = 1.5

Now let's divide the shortest sides of each triangle in the same order

36/24 = 1.5

Repeat for the middle-most sides

45/30 = 1.5

We get the same linear scale factor 1.5 each time. Therefore, the triangles are similar due to the SSS Similarity theorem

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Question 5

Any angle is equal to itself due to the reflexive property. So that will go for reason number 2.

Reason 3 is SAS similarity because we have the sides in proportion (statement 1) and the angles are congruent (statement 2).

3 0

2 years ago

PLEASE HELP! What is the value of the expression, written in standard form? (6.6x 10^-2 ) (3.3x10^-4)

Verizon [17]

The answer is 200 I think

Good luck

3 0

3 years ago

Ok so the mass of a proton is 0.000000000000000000000000001672622 how do I make this in scientific notation

Soloha48 [4]

Answer:

1.7 x 10^-27

Step-by-step explanation

Move the decimal to the right until it's a single digit number, because you are moving it to the right, it would be a negative number. If you are able to round up then please do. Remember to check your significant figures if you're in chemistry.

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3 years ago

List all elements of each set. (Note that sometimes you will have to put three dots at the end, because a set is infinite.)

ryzh [129]

Answer:

0, 1, 2, 3, 4, 5

Step-by-step explanation:

When you divide a natural number by 6, the remainders you can get are 0, 1, 2, 3, 4, and 5. Hope this helps!

6 0

3 years ago

Of the following numbers: 36, 56, 78, 98, 100, 1,000, 5,000, 10,000, 100,000, 500,000; what is the range.

Lubov Fominskaja [6]

Answer:

the is x 10

Step-by-step explanation:

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3 years ago