Answer:
Step-by-step explanation:
Remark
The problem asks you to identify the triangles. They are similar. The reason they are similar is by AA. That means that 2 of the angles are identified as equal in each triangle.
Proof
Both triangles contain a right angle....................That's given.
The mirror has an interesting property. It is stated as the angle of incidence = the angle of reflection. That property is marked by the lines hitting the mirror towards your right. If you do not know what incidence and reflection mean, just notice that the angles are marked as equal and call it given.
The base angles are equal ....................................Given
Here it is more formally
B and D are right angles ..................... Given
<AMB = <CMD Property of a mirror
Triangle AMB similar Triangle CMD AA in 1 triangle = AA in the other.
Because we know that the number in between x+6 and 2x-3 is 18, we can solve for x by doing (x+6+2x-3)/2=18. this simplifies to 3x+3=36, or x=11.
Answer:
24x-48y
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Step-by-step explanation:
<span> Simplifying
4x + 4y = 0
Solving
4x + 4y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4y' to each side of the equation.
4x + 4y + -4y = 0 + -4y
Combine like terms:
4y + -4y = 0
4x + 0 = 0 + -4y
4x = 0 + -4y
Remove the zero:
4x = -4y
Divide each side by '4'.
x = -1y
Simplifying
x = -1y</span>
Answer:
No solution
Step-by-step explanation:
4x + 2(2x - 3) = 8(x - 1)
4x + 4x - 6 = 8x - 8
8x - 6 = 8x - 8
0 = -2
There is no value of x makes the equation true.