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Ipatiy [6.2K]
3 years ago
10

Line segments that have the same length, or angle that have the same measure are called ?​

Mathematics
1 answer:
olganol [36]3 years ago
4 0

Answer:

Congruent segments Step-by-step explanation:

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If 40 is decreased by 60%, what is the new amount?
Kay [80]

Answer:

16

Step-by-step explanation:

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3 years ago
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Select and use the most direct method to solve 2x(x + 1.5) = -1. Describe and justify the methods you used to solve the quadrati
miskamm [114]

Step-by-step explanation:

Given that,

A quadratic equation,

2x(x + 1.5) = -1

We need to solve the quadratic equation. Firstly we need to simplify the above equation to form it as ax^2+bx+c=0.

So,

2x^2+3x=-1\\\\2x^2+3x+1=0

Here, a = 2, b = 3 and c = 1

The roots of the given equation can be given by :

x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}

Putting all the values we get :

x=\dfrac{-b\pm \sqrt{b^2+4ac} }{2a}, \dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-3\pm \sqrt{3^2+4(2)(1)} }{2(2)}, \dfrac{-3\pm \sqrt{3^2-4(2)(1)} }{2(2)}\\\\x=\dfrac{-3+1}{4}, \dfrac{-3-1}{4}\\\\x=-\dfrac{1}{2}, -1

So, the roots of the given equation is -1/2 and -1.

5 0
3 years ago
Erica went shopping for new clothes for school. She bought a pair of jeans for $70.19 and several shirts for $8.63 each. If x re
aniked [119]
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3 years ago
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X + ky = 1
Marina CMI [18]
X + k y = 1
k x + y = 1  / * ( - k )
----------------
      x + k y = 1
- k² x - k y = - k
--------------------
x - k² x = 1 - k
x ( 1 - k² ) = 1 - k
x = ( 1 - k ) / ( 1 - k² ) = ( 1 - k ) / ( 1 - k ) ( 1 + k )
y = 1 - k( 1 - k )/( 1 - k² )
y = ( 1 - k ) / ( 1 - k² ) = ( 1 - k ) / ( 1 - k ) ( 1 + k )
a ) For  k = - 1 this system has no solution.
b ) For k ≠ - 1 and k ≠ 1, the system has unique solution:
( x , y ) = ( 1/ (1 + k) ,  1/( 1 + k ) ).
c ) For k = 1, there are infinitely many solutions.

3 0
3 years ago
Which two expressions are equivalent?
MariettaO [177]

Answer:

First option

Step-by-step explanation:

The result of first expression:

7(6+z) multiply 7 with inside the parenthesis

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the result of second expression:

since we need to do multiplying first,

7*6 = 42 and 7*z = 7z

then we add them

42 + 7z this is the same result we found for the first equation

6 0
2 years ago
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