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V125BC [204]
3 years ago
11

Find the measure of the missing angles. 100° b = C=

Mathematics
2 answers:
Rudiy273 years ago
8 0

Answer:

<b = 80

<c = 80

Step-by-step explanation:

<b and 100 form a straight line so they add to 180

<b +100 =180

<b = 180-100

<b = 80

angles b and c are vertical angles and vertical angles are equal

<c = <b = 80

konstantin123 [22]3 years ago
5 0

b+100 = 180° (straight line angles)

b= 180°- 100°

b= 80°

c= b (vertically opposite angles)

c= 80°

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The sum of the digits of a two-digit number is 10. When the digits are reversed, the new number is 18 less than the original num
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<u>ANSWER:</u><u> </u>
The original number is 64

<u>SOLUTION:</u>
Let the two-digit number be ab, where 'a' is the tens digit and 'b' is the units digit.
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a + b = 10 (Equation 1)

</span><span>"When the digits are reversed, the new number is 18 less than the original number" is algebraically written as
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>> bx10 + ax1 = (ax10 + bx1) - 18
</span>>> 10b + a = 10a + b - 18
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>> 9(a - b) = 18
>> a - b = 2 
>> a = b + 2 (Equation 2)

Now substitute equation 2 in equation 1 to get
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>> (b + 2) + b = 10
>> 2b = 8
>> b = 4

Plug this value back in equation 1 to get
a = b + 2 = 4 + 2 = 6

So a = 6 and b = 4. Hence, the original number is 64.

<u>CHECK</u><u>:</u>
<span><u>Given</u>: The sum of the digits of a two-digit number is 10
</span><u>Check</u>: 6 + 4 = 10 (so it is true)

<span><u>Given</u>: When the digits are reversed, the new number is 18 less than the original number
</span><u>Check</u>:
Digits reversed: 64 reversed becomes new number 46, and 46 is 18 less than 64, that is, 46 = 64 - 18. 



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