The slope of the line formula:

Next, you would have to plug in the coordinates.

Now, all you would have to do is solve and simplify it.

=

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The slope would be 
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I hope this helps!
The area of a square is equal to the side squared.

We can plug in 24 for A and then take the square root of each side to find s.

We can simplify √24.
The prime factorization of 24 is 2×2×2×3.
Since we have 2×2 inside the radical we can simplify to have 2 outside the radical.

We can then use a calculator to find an approximate decimal value for 2√6.
(You could technically calculate it by hand using the Babylonian method, I don't think you're expected to do that, though)
Step-by-step explanation:
Angle XBC = 55 degrees because it is a corresponding angle with Angle AXC
and corresponding angles are equal or congruent.
Ok so angle XBC = 55 degrees and since this an isosceles triangle
XBC = XCB which means XCB = 55 degrees
Now to find angle BXC we know that all angles of a triangle add up to 180 degrees.
Angle XBC + Angle XCB + Angle BXC = 180 degrees
Let x represent angle BXC
55 + 55 + x = 180
110 + x = 180
x = 180 - 110
x = 70
∴ Angle BXC = 70 degrees
Answer:
Triangle ABC is similar but not congruent to Triangle XYZ
Step-by-step explanation:
When you dilate the size changes but the angles are the same with makes them similar and since the size of the triangles are different they cannot be congruent.
First take triangle BDH. We know B is 46 degrees and D is 33 degrees. Since the angles of a triangle equal 180 we get
180 - 46 - 33 = 101 for H.
H is supplementary to x, so their sum is also 180. This gives 180 - 101 = 79.
So x is 79 degrees.