Answer:
steps below
Step-by-step explanation:
To construct tangent line to a circle based on two main properties of tangent line and inscriber triangle of circle
1. A line is tangent to a circle when it intersects the circle in one point. At that point, the radius of the circle forms a right angle with the tangent line. If the radius forms a right angle with the tangent line, <u>then the segment OP becomes the hypotenuse of the right triangle.</u>
2. a triangle inscribed in a circle having a diameter (OT) as one side is a right triangle.
Construction:
1. connect P and circle center "O"
2. construct perpendicular bisector of PO --- AB, Intersect M will be the center of new circle and its radius is MP
3. With the center of "M" and radius MP: construct a circle and intersect original circle at "T" and "T'"
4. PT and PT' are the tangent lines
Answer:
31.25 minutes
Step-by-step explanation:
12.5 minutes divided by 2 (miles) = 1 mile per 6.25 minutes
6.25 x 5 = 31.25
Answer:
Point B is (1, 2)
Step-by-step explanation:
Let us revise the rule of the translations
- If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)
- If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)
- If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)
- If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)
∵ Point A = (-2, 0)
∵ T (3, 2) → A = B
→ By using the 1st and 3rd rules above, A is translated 3 units right and 2
units up to get B
∴ T (x, y) → (x + 3, y + 2)
∵ A = (x, y)
∵ x = -2 and y = 0
∴ B = (-2 + 3, 0 + 2)
∴ B = (1, 2)
∴ Point B is (1, 2)
Answer:
that would be 1305.5
Step-by-step explanation:
