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QveST [7]
1 year ago
9

Help needed! please help math

Mathematics
1 answer:
Readme [11.4K]1 year ago
3 0

Answer:

Step-by-step explanation:

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Find the value of the variable that results in congruent triangles. Explain. SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Mamont248 [21]

well, let's keep in mind that the SAS postulate, so if one Side and the Angle next to it and the following Side after the angle are equal on both triangles, both triangles are congruent.  Now, we have the angle 30° with sides and 9 and 2x and sides 9 and x + 4, well, the 9's are equal, dohh, you know, if only the 2x  = x + 4, we'd be golden

2x = x + 4\implies 2x - x = 4\implies \boxed{x = 4}

7 0
3 years ago
Use completing the square to solve for x in the equation (x-12)(x+4)= 9.
iragen [17]

Answer:

x = 4 + sqrt(73) or x = 4 - sqrt(73)

Step-by-step explanation by completing the square:

Solve for x:

(x - 12) (x + 4) = 9

Expand out terms of the left hand side:

x^2 - 8 x - 48 = 9

Add 48 to both sides:

x^2 - 8 x = 57

Add 16 to both sides:

x^2 - 8 x + 16 = 73

Write the left hand side as a square:

(x - 4)^2 = 73

Take the square root of both sides:

x - 4 = sqrt(73) or x - 4 = -sqrt(73)

Add 4 to both sides:

x = 4 + sqrt(73) or x - 4 = -sqrt(73)

Add 4 to both sides:

Answer:  x = 4 + sqrt(73) or x = 4 - sqrt(73)

4 0
3 years ago
What is the percent of change from 4,000 to 600?<br> work too plz
xenn [34]
\frac { n }{ 100 } \cdot 4,000=600\\ \\ 4,000\cdot n=60,000\\ \\ Therefore:\\ \\ n=\frac { 60,000 }{ 4,000 }

\\ \\ =\frac { 60\cdot 1,000 }{ 4\cdot 1,000 } \\ \\ =\frac { 60 }{ 4 } \\ \\ =15

As 15% of 4,000 is 600, the percentage change was -85%.
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3 years ago
A fraction reduces to 36. If its denominator is 6x^5, what it's its numerator?
earnstyle [38]
The answer is B because you will  cancel the x^5 part on top and bottom and the numerator left 6^3 and denominator left 6
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6 0
2 years ago
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Find allgebraiclly the equation of the axis of symmetry and the vertex of the parabola represented by the equation y=-x2-2x+1
Slav-nsk [51]
To find the vertex use -b/2a (for the x value which is also the axis of symmetry)
So 2/-2 = -1 Therefore the axis of symmetry is x=-1 Plug in for the y value:
y= -(-1)^2 -2(-1) + 1 y=-1 + 2 + 1 y=2 Vertex (-1,2)
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3 years ago
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