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jasenka [17]
3 years ago
15

PLEASE HELP FAST! my two problems are in the photo.

Mathematics
1 answer:
babunello [35]3 years ago
8 0

Answer:

8.) x=115 degrees

9.) y=102 degrees

Step-by-step explanation:

8.) A triangles total degrees is 180, so 180-50=130. now the missing angles are congruent, so 130/2=65. and now we're working on the bottom right angle. which is 65. what we need can be added to the angle we just found to add up to 180, so reverse it. 180-65=115. so x=115 degrees.

9.) because y is congruent to the angle across from it, we can just assume y and 78 is equal to 180. 180-78=102. so y=102 degrees. Hope this helps!

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3. Sum of digits of a two digit number is 14. When 18 is added to the original number, then the new number is obtained by exchan
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Answer:

let the numbers be xy

general form of the number =10x+y

sum of digits of a number =14

x+y=14………[1]

if 18 is added to the number, then digits are interchanged

10x+y+18=10y +x

9x-9y=-18

X-y=-2………[2]

the linear equations are 1) x+y=14

2) X-y=-2

adding [1],[2]

2x=12

x=6

x+y=14

y=14-x

y=14-6

y=8

there fore the number =10*6+8

=68

check:-

1)6+8=14

2)68+18=86

I hope this helped!

Step-by-step explanation:

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3 years ago
Given the digits 2,5,7,9, 4, and 1, how many 4-digit codes can be made if 4 points
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Answer:

144

Step-by-step explanation:

first digit of the code: only 2 and 4 are the only even numbers availible, so only 2 possibilities for the first digit.

2nd digit of code: 2,5,7,9,1 so 6 possibilities for the 2nd digit.

3rd digit of code: 2,5,7,9,1 so 6 possibilities for the 3rd digit.

4th digit of code: only 7 and 9 are greater tyhan 6 so only 2 possibilities for the 4th digit.

SO...

2 x 6 x 6 x 2 = 144

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