Step-by-step explanation:
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Answer:
x = approx. 25.7 and y = 12
Step-by-step explanation:
Isosceles triangles have 2 equal sides and 2 equal angles and there are 180 degrees in a triangle.
3x + 3x + x = 180
7x = 180
x = approx. 25.7
3(25.7) + 3(25.7) + 25.7 = 180
77.1 + 77.1 + 25.7 = 180
179.9 approx. = 180
7y + 7y + y = 180
15y = 180
y = 12
7(12) + 7(12) + 12 = 180
84 + 84 + 12 = 180
180 = 180
We know that
if the bird flies 5/6 miles north for -------------> 3/8 miles east
then
for 1 mile north------------------------------> X miles east?
X=(3/8)/(5/6)-------> 18/40-------> 9/20 miles
the answer is
9/20 miles
Answer:
Step-by-step explanation:
1) The center lies on the vertical line x = -5 and the the circle is tangent to (touches in one place only) the y-axis. Thus, the radius is 5.
2) Starting with (x - h)^2 + (y - k)^2 = r^2 and comparing this to the given
(x - 4)^2 + (y + 3)^2 = 6^2
we see that h = 4, k = -3 and r = 6. The center is at (4, -3) and the radius is 6.
3) Notice that A and B have the same x-coordinate, x = 15. The center of the circle is thus (15, -2), where that -2 is the halfway point between the two given points in the vertical direction. Arbitrarily choose A(15, 4) as one point on the circle. Then the equation of this circle is
(x - 4)^2 + (y + 3)^2 = r^2 = 6^2, where the 6 is one half of the vertical distance between A(15, 4) and B(15, -8) (which is 12).
Answer:
The answer is D
Translate ΔPQR by the rule (x + 1, y − 1), and dilate ΔP′Q′R′ by a scale factor of 2 from point R.
Step-by-step explanation: