Answer:
The expressions are not equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(2)-6=-30
Step-by-step explanation:
Two expressions are said to be equal if after a number is substituted to the expression, they produce the same result (that is they have the same value).
To determine whether -3x(5-4)+3(x-6) is equivalent to -12x-6, we have to substitute the same number to the expression and see if it produces the same result.
Substituting 2 to the first expression gives:
-3×2(5-4) + 3(2 - 6) = -6 - 12 = -18
Substituting 2 to the second expression gives:
-12(2) - 6 = -24 - 6 = -30
Since -3×2(5-4) + 3(2 - 6) = -6 - 12 = -18 and -12(2) - 6 = -24 - 6 = -30, the expressions are not equivalent because they do not produce the same result.
4136/8= 517
The others
7116/8=889.5
4309/8=538.625
9406/8=1175.75
solving a linear equation we conclude that the value of x must be 6.
<h3>
How to find the value of x?</h3>
On the statement we have the relations:
AB = BC
BC = CD
For the transitive property, then we have that:
AB = CD
Replacing the equations in the image, we get:
2x + 1 = 4x - 11
Solving this linear equation for x we get:
1 + 11 = 4x - 2x
12 = 2x
12/2 = x
6 = x
So yes, solving that linear equation we conclude that the value of x must be 6.
Learn more about linear equations:
brainly.com/question/1884491
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Answer:
Step-by-step explanation:
Measures of angles are,
m∠A = (2x)°
m∠B = (x + 14)°
m∠C = (x - 38)°
By triangle sum theorem,
m∠A + m∠B + m∠C = 180°
2x + (x + 14) + (x - 38) = 180
(2x + x + x) + (14 - 38) = 180
4x - 24 = 180
4x = 204
x = 51
m∠A = 2(51)° = 102°
m∠B = (51 + 14)° = 65°
m∠C = (51 - 38)° = 13°
7/8 is a answer of this question
