If we draw in OX, OY, OZ we have two congruent right triangles, right angles at the tangent points.
We know XOZ is 132 degrees, which is the meaning of the arc measure
So YOX is half that, 66 degrees.
That leaves 180 - 90 - 66 = 24 degrees for OYX
Angle Y aka XYZ is double that, 48 degrees.
Answer: C
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Answer:
A=12bh
Step-by-step explanation:
You must graph the two given lines and find their point of intersection. It is (10,5). Shade the areas BELOW each of the 2 lines. One line intersects the y-axis at (0,15) and the other line intersects the x-axis at (12.5,0)
Thus, you have an area defined by the vertices given above.
What to do next? Steal the coordinates of each point and subst. them into the given objective function P = 15x + 20y. For exampel, for (12.5,0), the value of P is 15(12.5) + 20(0) = 187.5.
Find P for each of the remaining 3 vertices.
The largest value of P is the answer to this question.
Answer:
Distance farther the Kangaroos need to go to cover a mile = 780 feet
Step-by-step explanation:
Given:
Kangaroos cover 30 feet in a single jump.
Kangaroos can make such jumps 150 times in a row.
To find the distance farther it needs to go to cover a mile.
Solution:
Using unitary method to find distance covered by kangaroos in a row.
If in a single jump Kangaroos cover = 30 feet
So, in 150 jumps it will cover = 
= 4500 feet
We know 1 mile = 5280 feet
Thus, distance farther the Kangaroo needs to go to cover a mile will be = 
= 780 feet
