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loris [4]
3 years ago
14

If m ACB =(11x-32),find the value of x

Mathematics
1 answer:
Digiron [165]3 years ago
8 0

Answer: x= acb/11 + 32/11

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

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One positive integer is 1 less than twice another. The sum of their squares is 106. Find the integers.
neonofarm [45]
They give us 2 pieces to the puzzle.  Both are positive numbers...x and y.
1.) 1 number is 1 less than twice another number. (x = 2y -1)...and
2.) the sum of their squares is 106.  (x^2 + y^2 = 106).

 substitute the value for x into the second equation.

(2y-1)^2 + y^2 = 106
(2y-1) (2y-1) + y^2 = 106  (use distributive property)
4y^2 - 2y - 2y + 1 + y^2 = 106  (subtract 106 from both sides)
4y^2 - 2y - 2y + 1 + y^2 - 106 = 106 - 106 (combine like terms)
5y^2 - 4y - 105 = 0  (factor)
(y-5) (5y-21) = 0  (set to 0)
y - 5 = 0
y = 5 

substitute the 5 into the equation for y   (x = 2(5) - 1)
           x = 9   if we square 9, we get 81.
subtracted from 106 we have 25...the square root of 25 is 5.

our answers are 5 and 9.
8 0
3 years ago
Need help with this angle don't know what to do with the x
vichka [17]
Hello!

Due to the definition of the Alternate Interior Angles Theorem, (x+23)+(x+54)=180 degrees:

x + 23 + x + 54 = 180
2x + 77 = 180
2x = 103
x = approximately 52 degrees  or exactly 51.5 degrees

I hope this helps :))
4 0
3 years ago
How do you simplify (4/9)²?
Vanyuwa [196]
(4/9)² = 4²/9² = 16/81 
7 0
3 years ago
If value of a+b=7and ab=12then find the value of a and b
LiRa [457]

a+b = 7

ab =12

we know that

a and b = ab – a+b

= 12 –7

= 5 ans

3 0
2 years ago
Read 2 more answers
What is the prime factorization of 96?<br> 0 25.32<br> 25.3<br> 02.2.2.2.3<br> 8.12
Nina [5.8K]

Answer:

8.12

Step-by-step explanation:

we first multiply 8 by 12 and we will get 96 as our answer

7 0
3 years ago
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