Answer:
<A = 56degrees
<B = 34degrees
<C = 56degrees
Step-by-step explanation:
From tyhe diagram, the sum of m<C and m<D is 180degrees. Hence;
<C + <D = 180
<C + 124 = 180
<C = 180 - 124
<C = 56degrees
Also;
<B + 90 + <C = 180
<B + 90 + 56 = 180
<B + 146 = 180
<B = 180 - 146
<B = 34degrees
Similarly;
<A + <B = 90
<A + 34 = 90
<A = 90 - 34
<A = 56degrees
We know that<span>
<span>Figures can be proven similar if one, or more,
similarity transformations (reflections, translations, rotations, dilations)
can be found that map one figure onto another.
In this problem to prove circle 1 and circle 2 are similar, a
translation and a scale factor (from a dilation) will be found to map one
circle onto another.
we have that</span>
<span> Circle 1 is centered at (5,8) and has a
radius of 8 centimeters
Circle 2 is centered at (1,-2) and has a radius of 4 centimeters
</span>
step 1
<span>Move the center of the circle 1 onto the
center of the circle 2
the transformation has the following rule</span>
(x,y)--------> (x-4,y-10)
so
(5,8)------> (5-4,8-10)-----> (1,-2)
so
center circle 1 is now equal to center circle 2
<span>The circles are now concentric (they have the
same center)
</span>
step 2
<span>A dilation is needed to decrease the size of
circle 1 to coincide with circle 2
</span>
scale factor=radius circle 2/radius circle
1-----> 4/8----> 0.5
radius circle 1 will be=8*scale factor-----> 8*0.5-----> 4 cm
radius circle 1 is now equal
to radius circle 2
<span>A
translation, followed by a dilation will map one circle onto the other,
thus proving that the circles are similar
the answer is
</span></span>The circles are similar because you can translate Circle 1 using the transformation rule (x-4,y-10) and then dilate it using a scale factor of (0.5)
Y= mx+b is the formula for writing and equation for slope.
M= slope
B= y-intercept
You replace the m and b with the info given to you in the problem.
Answer: y = -3/4x -6
Answer:
100
Step-by-step explanation:
dont know how to explain it.
