Answer:
∠J = 115
∠N = 65
∠M = 50
∠K = 130
Step-by-step explanation:
Sum of all the angles = 360
2x + 15 + x + 15 +x + 3x - 20 = 360
Combine like terms
2x + x + x + 3x + 15 + 15 - 20 = 360
7x + 10 = 360
7x = 360 - 10
7x = 350
x = 350/7
x = 50
∠J = 2x + 15 = 2*50 + 15 = 100+15 = 115
∠N = x +15 = 50 +15 = 65
∠M = x = 50
∠K = 3x - 20 = 3*50 - 20 = 150 - 20 = 130
Cos 105 will also be -0.26
csc 105 = 1.03
Answer:
Standard equation of this circle is (x +5)² + y² = 9.
Step-by-step explanation:
The equation of a circle with center at (h,k) and a radius of r is:
(x - h)² + (y - k)² = r²
Subtitute the variables with h= -5, k = 0, and r = 3
(x - (-5))² + (y - 0)² =3²
(x + 5)² + y² = 9
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Answer:
<h2>22.0544</h2>
Step-by-step explanation:
3.2 × 6.892 = 22.0544
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Answer:
B) A dilation followed by a reflection
3 of our transformations are called isometries. These are transformations that preserve the size and shape of the original figure; they just change the position or orientation of it. Translations, reflections and rotations are all isometries. We know that isometries preserve congruence, since they maintain the size and shape of the original figure.
dilation changes the size of a figure. Since the new figure will not be the same size as the original, they will not be congruent.
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