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Daniel [21]
3 years ago
14

Find the measure of angle x in the figure below a) 15° b) 25° c) 30° d) 60°

Mathematics
1 answer:
Andrew [12]3 years ago
6 0

Answer:

Most Likely C

Step-by-step explanation:

Using the triangle sum proof:

180-(75+75)=30

The blank angle measure and where "X" is are vertical angles.

Vertical angles have the same measurement.

x should be equal to 30°.

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What number is a common multiple of 5 and 9?
Yakvenalex [24]
45 is the answer. It is the least common multiple of 5 and 9. Multiples of 5: 5, 10,15,20,25, 30, 35, 40, 45 and multiples of 9: 9, 18, 27, 36, 45
6 0
3 years ago
Which of the following lists all of the positive factors of 18?
babymother [125]

The square root of 18 is 4.2426, rounded down to the closest whole number is 4. Testing the integer values 1 through 4 for division into 18 with a 0 remainder we get these factor pairs: (1 and 18), (2 and 9), (3 and 6). The factors of 18 are 1, 2, 3, 6, 9, 18.

Step-by-step explanation:

4 0
3 years ago
The set of the consecutive odd numbers 1, 3, 5, 7, ... , N has a sum of 400. How many numbers are in the set?
Amanda [17]

Well, we could try adding up odd numbers, and look to see when we reach 400. But I'm hoping to find an easier way.

First of all ... I'm not sure this will help, but let's stop and notice it anyway ...
An odd number of odd numbers (like 1, 3, 5) add up to an odd number, but
an even number of odd numbers (like 1,3,5,7) add up to an even number.
So if the sum is going to be exactly 400, then there will have to be an even
number of items in the set.

Now, let's put down an even number of odd numbers to work with,and see
what we can notice about them:

         1, 3, 5, 7, 9, 11, 13, 15 .

Number of items in the set . . . 8
Sum of all the items in the set . . . 64

Hmmm.  That's interesting.  64 happens to be the square of 8 . 
Do you think that might be all there is to it ?

Let's check it out:

Even-numbered lists of odd numbers:

1, 3                                   Items = 2, Sum = 4
1, 3, 5, 7                           Items = 4, Sum = 16
1, 3, 5, 7, 9, 11                 Items = 6, Sum = 36
1, 3, 5, 7, 9, 11, 13, 15 . . Items = 8, Sum = 64 .

Amazing !  The sum is always the square of the number of items in the set !

For a sum of 400 ... which just happens to be the square of 20,
we just need the <em><u>first 20 consecutive odd numbers</u></em>.

I slogged through it on my calculator, and it's true.

I never knew this before.  It seems to be something valuable
to keep in my tool-box (and cherish always).


3 0
3 years ago
Let a and b be rationl numbers?
TEA [102]

Sometimes

Always

Sometimes

hope this helps

5 0
3 years ago
Read 2 more answers
A number K increased by 10 is the same as 24 what’s the equation
polet [3.4K]
The equation is K + 10 = 24.
3 0
3 years ago
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