Answer:
y =65
Step-by-step explanation:
We will call the unknown angle in the triangle x
Angle x plus 130 form a straight line
x+130 = 180
Subtract 130 from each side
x+130-130 = 180-130
x = 50
The three angles in the triangle add together to make 180 degrees
x+y+y = 180
We know angle x = 50
50 + 2y = 180
Subtract 50 from each side
50+2y-50 = 180-50
2y = 130
Divide each side by 2
2y/2 = 130/2
y = 65
Answer:
( x - 11 )^2 + ( y - 5 )^2 = 4^2
Step-by-step explanation:
The general form of equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2.
h and k are the co-ordinates of the center of circle and r is the radius
We have,
r=4
(h,k)=(11,5)
( x - h )^2 + ( y - k )^2 = r^2
or, ( x - 11 )^2 + ( y - 5 )^2 = 4^2
If you simplify,
x^2-22x+121+y^2-10y+25=16
or, x^2+y^2-22x-10y+146-16=0
or,x^2+y^2-22x-10y+130=0
Answer:
14m +4+3m-3-2m
14m+3m-2m+4-3
15m+1
Step-by-step explanation:
this is equivalent
Y=-2/3x+1/3 check photo for work!
The coordinates of the vertex that A maps to after Daniel's reflections are (3, 4) and the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)
<h3>How to determine the coordinates of the vertex that A maps to after the two reflections?</h3>
From the given figure, the coordinate of the vertex A is represented as:
A = (-5, 2)
<u>The coordinates of the vertex that A maps to after Daniel's reflections</u>
The rule of reflection across the line x = -1 is
(x, y) ⇒ (-x - 2, y)
So, we have:
A' = (5 - 2, 2)
Evaluate the difference
A' = (3, 2)
The rule of reflection across the line y = 2 is
(x, y) ⇒ (x, -y + 4)
So, we have:
A'' = (3, -2 + 4)
Evaluate the difference
A'' = (3, 4)
Hence, the coordinates of the vertex that A maps to after Daniel's reflections are (3, 4)
<u>The coordinates of the vertex that A maps to after Zachary's reflections</u>
The rule of reflection across the line y = 2 is
(x, y) ⇒ (x, -y + 4)
So, we have:
A' = (-5, -2 + 4)
Evaluate the difference
A' = (-5, 2)
The rule of reflection across the line x = -1 is
(x, y) ⇒ (-x - 2, y)
So, we have:
A'' = (5 - 2, 2)
Evaluate the difference
A'' = (3, 2)
Hence, the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)
Read more about reflection at:
brainly.com/question/4289712
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