x = 6
Step-by-step explanation:
It's based on similarity of triangles
DEF ~ △XYZ

The sides should be taken in order, like the triangles start with DE and XY so, we'll proportionate DE and XY and then the next two sides and so on.
I'm using
to get the value of x.
[You can use any two fractions out of the three given above. ]







Hence, the value of x is 6.
9514 1404 393
Answer:
x -3y -7 = 0
Step-by-step explanation:
The general form of the equation for a line is ...
ax +by +c = 0
where a, b, c are mutually prime and the leading coefficient is greater than zero.
__
The general form equation for a line with slope m = rise/run through point (h, k) can be found by simplifying ...
rise(x -h) -run(y -k) = 0 . . . . where run has the sign of the slope
For the given point and slope, we have ...
1(x -1) -3(y -(-2)) = 0
x -3y -7 = 0
6.6 Symmetries of Regular
Polygons
A Solidify Understanding Task
A line that reflects a figure onto itself is called a line of symmetry. A figure that can be carried onto
itself by a rotation is said to have rotational symmetry. A diagonal of a polygon is any line
segment that connects non-consecutive vertices of the polygon.
For each of the following regular polygons, describe the rotations and reflections that carry it onto
itself: (be as specific as possible in your descriptions, such as specifying the angle of rotation)
1. An equilateral triangle
2. A square
3. A regular pentagon
4. A regular hexagon
Answer:

Step-by-step explanation:
we know that
The triangle HPY is a right triangle (because the angle ∠HYP is a right angle)
Applying the Pythagorean Theorem
substitute the given values
Solve for HY

Answer:
zy^5
Step-by-step explanation: